Answers
The given proof follows the symmetric property of angle congruence. Therefore, option C is the correct answer.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that,
Statements Reasons
1. ∠ABC≅∠DEF 1. Given
2. m∠ABC=m∠DEF 2. Definition of congruent angles
3. m∠DEF=m∠ABC 3. Symmetric property of equality
4. ∠DEF≅∠ABC 4. Definition of congruent angles
The symmetric property says that if one geometric shape is congruent to another, than the second shape is also congruent to the first. The symmetric property of congruence says that for any angles A and B, if ∠A≅∠B then ∠B≅∠A.
Therefore, option C is the correct answer.
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Related Questions
Which function is represented by the graph?
f(x) = |x – 1| + 3
f(x) = |x + 1| – 3
f(x) = |x – 1| – 3
f(x) = |x + 1| + 3
Answers
The function represented by the graph is:
f(x) = |x – 1| + 3
This function takes the absolute value of the difference between x and 1, and then adds 3 to the result. The graph of this function will have a "V" shape centered at x = 1 with the vertex at (1, 3). The left side of the vertex will have a slope of -1, and the right side of the vertex will have a slope of +1. The y-intercept will be 3 units above the x-axis.
Answer: B
Step-by-step explanation: YES
how many three-digit numbers satisfy the property that the middle digit is the absolute value of half the difference of the first and the last digits?
Answers
A total of [tex]10 + 4 + 4 = \boxed{18}[/tex] three-digit numbers that satisfy the given property.
Let the three-digit number be written as abc, where a, b, and c are the hundreds, tens, and ones digits, respectively. We want b to be the absolute value of half the difference between a and c. In other words, we want b = [tex]\left|\frac{a-c}{2}\right|.[/tex]
Since a, b, and c are digits, we know that [tex]0 \leq a, b, c \leq 9.[/tex] Since b is the absolute value of a number, we know that b is non-negative.
Case 1: [tex]a \geq c[/tex]
If [tex]a \geq c[/tex], then[tex]b = \frac{a-c}{2}[/tex]. Since b must be non-negative, we have two
subcases to consider:
Subcase 1: a=c
In this subcase, b=0, which means that the number abc is of the form a00, where [tex]0 \leq a \leq 9[/tex]. There are 10 such numbers.
Subcase 2: a>c
In this subcase, [tex]b = \frac{a-c}{2}[/tex] is a positive integer. Since a and c must have the same parity (i.e., they are either both even or both odd), we have two
sub-subcases to consider:
Sub-subcase 1: a and c are both even
In this sub-subcase, a and c are both integers between 0 and 8 inclusive (since they are even and cannot be equal to 0 or 9). There are 4 such pairs of values for a and c: (2,0), (4,2), (6,4), and (8,6). For each pair, the value of b is uniquely determined, so there are 4 corresponding numbers abc.
Sub-subcase 2: a and c are both odd
In this sub-subcase, a and c are both integers between 1 and 9 inclusive (since they are odd and cannot be equal to 0 or 8). There are 4 such pairs of values for a and c: (9,7), (7,5) , (5,3), and (3,1). For each pair, the value of b is uniquely determined, so there are 4 corresponding numbers abc.
Case 2: a < c
If a < c, then[tex]b = \frac{c-a}{2}[/tex]. Since b must be non-negative, we have only one
subcase to consider:
Subcase: c- a is even
In this subcase, c-a is an even integer between 2 and 8 inclusive (since it cannot be equal to 0 or 9). There are 4 such even integers: 2, 4, 6, and 8. For each even integer, the values of a and c that satisfy c-a are uniquely determined, and the value of b is then uniquely determined. So there are 4 corresponding numbers abc.
Putting everything together, we have a total of [tex]10 + 4 + 4 = \boxed{18}[/tex] three-digit numbers that satisfy the given property.
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on a piece of paper, graph y + 2 > -3x - 3. Then determine which answer choice matches the graph you drew
Answers
On solving the provided question, we can say that the inequality is y+2> -3x-3, Graph the points (0,-5) and (-2,1)
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
the inequality is
y+2> -3x-3
y > -3x-5
y = -3x-5
x y = -3x-5
0 -5
-1 -2
-2 1
Graph the points (0,-5) and (-2,1)
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tom and saam are speed skaters. tom skates 44 ft/sec, and saam 50ft/sec. if saam is 120 ft behind tom when they are skating in the same direction, how long will it take saam to catch up to tom?
Answers
They are skating in the same direction, how long will it take Sam to catch up to tom
will take Sam 2.72 seconds to catch up to Tom.
Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
To find out how long it will take Sam to catch up to Tom, we can use the following formula:
time = distance / (rate of Sam- the rate of Tom)
In this case, the distance is 120 ft (the distance between Tom and Sam when they start speed skating) and rate of Sam is 50 ft/sec, and the rate of Tom is 44 ft/sec.
Plugging these values into the formula, we get:
time = 120 / (50 - 44) = 120 / 6 = 20
So it will take Sam 20 seconds to catch up to Tom.
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2.
In isosceles triangle RST shown below, RS = RT,
M and N are midpoints of RS and RT, respectively,
and MN is drawn. If MN = 3.5 and the perimeter
of ARST is 25, determine and state the length of
NT.
Answers
The length of the segment NT is 4.5 units
What is isosceles triangle?
An isosceles triangle is one that has two sides of equal length.
The angles opposite to equal sides are equal.
Let RM=x, then MS=RN=NT=x ( because RS = RT )
RS=RT =2x
RST and RMN are two similar triangles
So, we have
ST/MN = RT/NT
=> ST/3.5 = 2x/x
=> ST/3.5 = 2
=> ST = 2*3.5 = 7
Given , perimeter = 25
=> RS+ST+RT = 25
=> 2x+ST+ 2x = 25
=> 4x + 7 = 25
=> 4x= 25-7 = 18
=> x=18/4 = 4.5
NT=x= 4.5 units
The length of the segment NT is 4.5 units
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What does the Pythagorean Theorem and its converse state if each triangle is a right triangle?
Answers
The Pythagorean Theorem is a fundamental theorem in Euclidean geometry that relates to the sides of a right triangle.
The Pythagoras Theorem states that : in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of squares of lengths of other two sides.
Mathematically, the Pythagoras Theorem is written as:
⇒ c² = a² + b² ;
where c is = length of the hypotenuse, and a and b are the lengths of the other two sides of the right triangle.
The Converse of Pythagoras Theorem states that : If in a triangle, the square of the length of the longest side is equal to the sum of squares of lengths of other two sides, then triangle is a right triangle.
Both the Pythagorean Theorem and its converse apply only to right triangles, which are triangles that have a right angle .
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. How many 1/3 cup servings are in 8 cups of granola?
Answers
Answer:
24
Step-by-step explanation:
If we convert this problem into "math language", it's basically asking what is 8 divided by 1/3? So, we set this up: [tex]\frac{8}{\frac{1}{3} }[/tex] = 8 * 3 = 24
whats the answer to this question
Answers
Answer:
180 most likely
a student has scores of 77, 77.25, and 81.25 on his first three tests. he needs an average of at least 80 to earn a grade of b. what is the minimum score that the student needs on the fourth test to ensure a b?
Answers
The student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.
To find the minimum score the student needs on the fourth test, we can use the formula for the average of four numbers:
Average = (sum of the numbers) / 4
We know that the student needs an average of at least 80 to earn a grade of B, and we also have the scores for the first three tests: 77, 77.25, and 81.25. So, we can set up the equation:
80 = (77 + 77.25 + 81.25 + x) / 4
where x is the score the student needs on the fourth test. Solving for x:
80 = (235.5 + x) / 4
320 = 235.5 + x
x = 320 - 235.5
x = 84.5
So, the student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.
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the price of an item is $90.after the sales tax is added, the final cost is &94.5. which percent of sales tax has been applied to the item?
Answers
The percent of sales tax that has been applied to the item is 5%.
What is sales tax?A sales tax is a consumption tax imposed on the sale of items. It is often applied to the selling price of an item.
Here, the original cost is $90 and the final cost is $94.5.
Let, the sales tax rate is r%.
Calculate the percentage of sales tax.
Final price after sales tax = Selling Price×(1 + Rate of sales tax/100)
94.5 = 90(1+r/100)
94.5 = 90 + 0.9r
0.9r = 4.5
r = 5
Therefore, the obtained answer is 5%.
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A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 4 hours?
Answers
The equation represents how many grams of the compound will remain after 4 hours m(4) = 0.285m₀
Radiation and decay are important concepts in nuclear physics. The rate at which radioactive compounds decay is measured in terms of half-life and the decay constant.
To solve this problem, we can use the exponential decay equation, which describes the rate of decay of a radioactive substance.
In this scenario, we are interested in finding the remaining mass of the radioactive compound, which can be obtained by multiplying the number of remaining atoms by the atomic mass of the substance. The equation for the remaining mass is:
m(t) = N(t) x m
where:
m(t) represents the mass of the radioactive substance remaining at time t.
N(t) is the number of radioactive atoms remaining at time t.
m is the atomic mass of the substance.
To determine the values of N0 and λ for our radioactive compound, we can use the decay rate given in the problem. If the compound decays at a rate of 27% per hour, it means that the remaining fraction of the substance after each hour is 0.73 (i.e., 100% - 27% = 73%). Therefore, the decay constant can be calculated as follows:
ln(0.73) = -λ
λ = 0.312
Next, we can use the initial mass of the compound (320 grams) and the exponential decay equation to find the remaining number of atoms at 4 hours:
[tex]N(4) = N_0 \times e^{-0.312 x 4}[/tex]
N(4) = N₀ x 0.285
Since we don't know N₀, we can express it in terms of the initial mass and the atomic mass:
N₀ = m₀ / m
where:
m₀ is the initial mass of the radioactive compound.
m is the atomic mass of the substance.
Substituting this into the previous equation, we get:
N(4) = (m₀ / m) x 0.285
Finally, we can use the equation for the remaining mass to find the answer:
m(4) = N(4) x m
m(4) = (m₀ / m) x 0.285 x m
m(4) = 0.285m₀
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I mark Brainliest :D (I've been waiting 30 mins please someone answer)
In the figure below, AD=32 cm, CD=24 cm, and points C and D are on the perpendicular bisector of segment AB. What is the perimeter of △ABC?
Answers
Answer:
The perimeter of △ABC is 144 cm.
------------------------------
Since points C and D are on the perpendicular bisector of AB, we have:
CD⊥AB;AD = BD;AC = BC.Find the length of AC using Pythagorean:
[tex]AC=\sqrt{AD^2+CD^2}=\sqrt{32^2+24^2} = \sqrt{1600}=40\ cm[/tex]Find the perimeter of ΔABC:
P = AB + BC + AC = 32*2 + 40 + 40 = 64 + 80 = 144 cm5. A bag holds 4 white, 6 red, and 2 blue marbles. You choose a marble without looking, put it aside, and choose
another marble without looking. Find the probability of removing a white marble followed by a blue marble.
Answers
The required probability of removing a white marble followed by a blue marble is 2/33.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
There are 12 marbles in the bag in total, so the probability of selecting a white marble on the first draw is 4/12 or 1/3.
After the first marble is put aside, there are now 11 marbles in the bag, with 2 of them being blue. Therefore, the probability of selecting a blue marble on the second draw is 2/11.
To find the probability of selecting a white marble followed by a blue marble, we need to multiply the probability of the first event (selecting a white marble) by the probability of the second event (selecting a blue marble):
P(white, then blue) = P(white) x P(blue|white)
P(white, then blue) = (1/3) x (2/11)
Simplifying:
P(white, then blue) = 2/33
Therefore, the probability of removing a white marble followed by a blue marble is 2/33.
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Write the equation in slope-intercept form. y−2=−43(x+6)
Answers
The equation can be written in slope-intercept form as y = -43x - 250. This equation has a slope of -43 and a y-intercept of -250.
Subtract 2 from both sides:
y - 2 - 2 = -43(x + 6) - 2
y - 4 = -43(x + 6)
Divide both sides by -43:
(-1/43) * (y - 4) = x + 6
(-1/43)y - (-4/43) = x + 6
x = (-1/43)y + (-38/43)
Add 6 to both sides:
x + 6 = (-1/43)y + (-32/43)
Subtract (-1/43)y from both sides:
x + 6 - (-1/43)y = (-32/43) - (-1/43)y
x + 6 + (1/43)y = (-32/43)
Multiply both sides by -43:
(-43)(x + 6 + (1/43)y) = (-43)(-32/43)
-43x - 250 = -32
Add 250 to both sides:
-43x - 250 + 250 = -32 + 250
-43x = 218
Divide both sides by -43:
x = (-218)/(-43)
x = 5
The equation can be written in slope-intercept form as y = -43x - 250. This equation has a slope of -43 and a y-intercept of -250.
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Can you please answer the question
Answers
The height of the triangular prism will be 100mm.
What is a triangular prism?The three-dimensional object has a base of triangular shape and has some height is called a triangular prism.
Given that the height and the base of the triangular shape of the triangular prism are 8 mm and 6.9 mm respectively. The volume of the prism is V = 2760 cubic mm.
The height of the triangular prism will be calculated as:-
Volume = 1/2 x b x h x H
2760 = 1/2 x 8 x 6.9 x H
H = 100 mm
Therefore, the height of the prism is 100mm.
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i need help with this one?
Answers
Answer: No, because not all of the corresponding sides are proportional
Step-by-step explanation:
If you set up ratios for corresponding sides, you will see they all evaluate to different numerical results. This means that the sides are not in a fixed ratio, which leads us to conclude the the shapes are not scalar multiples of each other. Two of those angles are congruent though!
The length of a rectangle is three times its width and its perimeter is 120 feet.
What are the dimensions?
Answers
Answer: Width = 45 feet; Length = 15 feet;
Step-by-step explanation: Start by substituting 3w for the length because it says that in the problem. We know that 2(L+W) equals the perimeter. Since we substituted 3w for length we get 8w for the perimeter. Divide 120 by 8 to find that the width is 15 feet and plug it into 3w to get the length of 45 feet.
Answer:
45 feet and 15 feet are the length and width
Step-by-step explanation:
P = 120 feet
a (length) = 3 * b (width)
P = 2 * (a + b)
P = 2 * (3b + b)
P = 2 * 4b
P = 8 * b
=> 8b = 120 feet
P = 120 feet
b = 120 / 8
b = 15 feet
a = 3 * b
a = 3 * 15
a = 45 feet
Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can work no more than 14 total hours and must earn no less than $180. If Camden worked 9 hours lifeguarding, determine the minimum number of whole hours babysitting that he must work to meet his requirements. If there are no possible solutions, submit an empty answer.
Answers
Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.
What is the solution to the equation?A solution to an equation is a number that can be substituted for the variable to provide a true number statement.
Let's call the number of hours Camden works babysitting "x".
We know that x + 9 (hours of lifeguarding) cannot be more than 14 and that his total earnings must be at least $180. So we can write two equations based on these conditions:
x + 9 ≤ 14 (hours worked can't exceed 14)
10x + 18 × 9 ≥ 180 (earnings must be at least $180)
Now we can substitute the first equation into the second:
10x + 18 × 9 ≥ 180
10x + 162 ≥ 180
10x ≥ 18
x ≥ 1.8
Since x has to be a whole number of hours, we round up to find that Camden must work at least 2 hours babysitting.
So, Camden must work a minimum of 2 hours babysitting and 9 hours of lifeguarding to meet the requirements.
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Let ∠1 , ∠2 , ∠3 , and ∠4 have the following relationships. ∠1 and ∠2 are vertical angles. ∠3 and ∠4 are right vertical angles. ∠3 is adjacent to both ∠1 and ∠2 . What is the sum of the measure of ∠4 and the measure of ∠1 minus the measure of ∠2 ?
Answers
Answer:
Since ∠1 and ∠2 are vertical angles, they have equal measure. And since ∠3 and ∠4 are right vertical angles, they have measure 90° each.
Since ∠3 is adjacent to both ∠1 and ∠2, we can say that:
∠1 + ∠3 = 180°
∠2 + ∠3 = 180°
Adding these two equations together:
∠1 + ∠2 + 2∠3 = 360°
Substituting the values we have:
∠1 + ∠2 + 2(90°) = 360°
∠1 + ∠2 + 180° = 360°
Solving for ∠1 + ∠2:
∠1 + ∠2 = 180° - 180° = 0°
Finally, the sum of the measure of ∠4 and the measure of ∠1 minus the measure of ∠2 is:
∠4 + (∠1 - ∠2) = 90° + (∠1 - 0°) = 90° + ∠1
So the answer is 90° + ∠1.
A 7meter flog poce costs a shadow of 5meter. Calculate height of an electric pole that will cost a shadow of 10m under the same condition
Answers
The height of the electric pole in order to cast a shadow of 10 m in the same condition as to be 14 m.
The flog poce cast a shadow of 5 metre and itself as a height of 7 m.
Now we have to find the height of an electric pole that will cast the shadow of length 10 m under the same conditions.
The word under the same condition means that the angle of elevation will be same in both the cases, so, we can use the tan theta here,
Tan A = perpendicular/base
Tan A will be equal for both.
Tan A = 7/5
Tan A = H/10
H is the height of the electric pole.
7/5 = H/10
H = 14m
The height of the electric pole will be 14 m.
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as a part of a market research project, you survey six food trucks across the city to gather data on how many meals they would plan to sale at various prices. the data you collect is in the accompanying table. what is the change in the total supply of meals in your survey when the price falls from $7 per meal to $6 per meal?
Answers
Option (a) The quantity supplied rises by 165. To determine the change in the total supply of meals in your survey when the price increases from $8 per meal to $9 per meal, we need to compare the quantity of meals supplied at the $8 and $9 prices across all food trucks.
From the table, we can see that the quantity of meals supplied at the $8 price per meal is as follows:
Mario's Taco Stand: 140
Curbside Chargrilled Burgers: 210
Chuckin' Clouds BBQ: 175
Burrito Dan's: 240
La Jefa Cubanos: 150
What a Jrk Jamaican Food: 220
The total quantity supplied at $8 per meal is 1,135 meals.
At the $9 price per meal, the quantity of meals supplied is as follows:
Mario's Taco Stand: 160
Curbside Chargrilled Burgers: 240
Chuckin' Clouds BBQ: 200
Burrito Dan's: 260
La Jefa Cubanos: 190
What a Jrk Jamaican Food: 250
The total quantity supplied at $9 per meal is 1,300 meals.
The change in the total supply of meals is the difference between the total quantity supplied at $9 per meal and the total quantity supplied at $8 per meal, which is:
1,300 - 1,135 = 165
Therefore, the answer is (a) The quantity supplied rises by 165.
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Complete question is in the image
Tyler collects 1242 cans of pet food. He gives 150 cans to the vet. Then he packs 9 cans in each box to give to the animal shelter. How many cans of pet food are not in a box?
Answers
Answer:
121
Step-by-step explanation:
1242-150=1092/9 = 121 (remainder 3)
Answer: 121
Step-by-step explanation: 1241 - 150 / 9
Kyle is at the end of a pier 30 feet above the ocean. His eye level is 6 feet above the pier.
He is using Binocular to watch a whale surface. If the angle of depression of the whale is
25°, how far is the whale from Kyle's binoculars?
Answers
Step-by-step explanation:
Let the distance between them be y
sin20° =
=> 0.342 = [ sin20° = 0.342]
=> y = 33/ 0.342
=> y = 96.5 ft
So, the distance between them is 96.5 ft
If the two quantities on a coordinate graph are time and distance from home which quantity is a function of which?
Answers
The distance is a function of time and the slope of the distance time graph will give the speed
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the first quantity be represented as Distance D
Let the second quantity be represented as Time T
Now , the function is given as
The distance D is a function of time and the slope of the line between the x and y axis of the distance time graph will give us the speed
Substituting the values in the equation , we get
Let the y axis represent the distance D
And , let the x axis represent the time T
So , Slope m = y / x
On simplifying the equation , we get
Slope m = Distance / Time = Speed
Hence , the distance is a function of time
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Find X then find angle BD
Answers
Applying the Two Tangents Exterior Angle Theorem, the value of x is: 12.
m(BD) = 120°
What is the Two Tangents Exterior Angle Theorem?If you draw two tangents from a point outside a circle, the size of the angle they form is equal to half of the difference between the sizes of the two arcs they intercept inside the circle, based on the Two Tangents Exterior Angle Theorem.
Therefore, we have:
6x - 12 = 1/2[(-12 + 21x) - (12x - 24)] (according to the Two Tangents Exterior Angle Theorem)
Solve for x:
6x - 12 = 1/2[(-12 + 21x - 12x + 24)
2(6x - 12) = -12 + 21x - 12x + 24
12x - 24 = 9x + 12
12x - 9x = 24 + 12
3x = 36
x = 36/3
x = 12
m(BD) = 12x - 24 = 12(12) - 24
m(BD) = 120°
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What is the area of this sign?
Answers
The area of the composite figure is 294 cm square.
How to find the area of a composite figure?The figure above is a composite figure. The figure is formed by combining two trapeziums.
Therefore, the area of the figure is the sum of the whole area of the shape.
Hence,
area of the composite figure = area of the trapezium1 + area of the trapezium2.
area of the trapezium1 = 1 / 2 (a + b)h
hence,
area of the trapezium1 = 1 / 2 (12 + 25)6
area of the trapezium1 = 1 / 2 (37)6
area of the trapezium1 = 111 cm²
area of the trapezium2 = 1 / 2 (24 + 37)6
area of the trapezium2 = 3 × 61
area of the trapezium2 = 183 cm²
Therefore,
area of the composite figure = 111 + 183
area of the composite figure = 294 cm²
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s your chance to practice what you've learned. You will type your ar
ou and your friend are on a
occer team.
he coach randomly chooses
of the 11 players to play 3
ifferent midfield positions
eft wing, right wing, and
enter midfield).
Answers
The probability that someone is chosen to play in the left-wing position is 9%.
How to calculate the probability of an event?The general formula to calculate the probability or the likelihood of an event happening is the specific or desired outcome/ total possible outcomes.
Based on the above, let's calculate the probability in this case:
Specific outcome: To be chosen to play in the left-wing position = 1 position available
Total of players: 11 players
Now, let's calculate the probability
1/ 11 = 0.09 which is equivalent to 9%
Note: This question is incomplete; here is the missing information:
What is the probability to be chosen to play in the left-wing position?
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I need help with this
Answers
The angle relationship that will fill the correct angle are given below.
What is an angle relationship?An angle is said to be generated when two or more lines intersect at a point. Thus series of angles which have some common relationship on comparison are formed. Some common angle relationships are; supplementary angles, complementary angles, vertical angles, etc.
The angle relationship to fill the correct angle are:
1. <AXE and <CXD are vertical angles.
2. <AXF and <DXF are supplementary angles.
3. <DXC and <BXC are complementary angles.
4. <CXB and <AXB are adjacent angles.
5. <AXC and <CXD are supplementary angles.
6. <DXE and <AXC are vertical angles.
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Please help me answer this question 20 points
Answers
Answer:
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Step-by-step explanation:
Rain is falling at a rate of 4/5 inches every 2/3 hours. What complex fraction can you use to find the unit rate in inches per hour?
Answers
the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.
Finding unit rate in inches per hour
The unit rate in inches per hour can be found by dividing the amount of rain falling per unit of time by the corresponding unit of time. In this case, we have 4/5 inches falling every 2/3 hours, so we can find the unit rate by dividing 4/5 by 2/3:
(4/5) / (2/3) = (4/5) X (3/2) = 6/5 inches per hour
So the unit rate is 6/5 inches per hour, or approximately 1.2 inches per hour.
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