Select all the correct locations on the figures.
Select two angles, one from each triangle, that must be congruent for the triangles to be congruent by the SAS criterion.
Answers
For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.
For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.
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Answer:
as shown on the screen shot
Related Questions
Solve the following:
1. even integers between 1 and 101
2. first 25 terms of the arithmetic sequence 4, 9, 14, 19, 24 ...
Answers
Answer:
1. 2550
2. 1600
Step-by-step explanation:
Question 1Even Integer: A whole number that can be positive, negative, or zero, and that can be divided exactly by 2.
Even integers between 1 and 101:
2, 4, 6, 8, 10, ... , 100This forms an arithmetic sequence with:
first term (a) = 2common difference (r) = 2Sum of the first n terms of an arithmetic series:
[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]
There are 50 even integers between 1 and 101.
Therefore, to find the sum of the even integers between 1 and 101, substitute n = 50 and the found values of a and r into the formula:
[tex]\begin{aligned}\implies S_{50} & =\dfrac{1}{2}(50)[2(2)+(50-1)2]\\\\& =25[4+(49)2]\\\\& =25[4+98]\\\\& =25[102]\\\\& = 2550\end{aligned}[/tex]
Therefore, the sum of the even integers between 1 and 100 is 2550.
Question 2Given arithmetic sequence:
4, 9, 14, 19, 24, ...From inspection of the given arithmetic sequence:
first term (a) = 4common difference (r) = 9 - 4 = 5Sum of the first n terms of an arithmetic series:
[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]
To find the sum of the first 25 terms of the given arithmetic sequence, substitute n = 25 and the found values of a and r into the formula:
[tex]\begin{aligned}\implies S_{25} & =\dfrac{1}{2}(25)[2(4)+(25-1)5]\\\\& =\dfrac{25}{2}[8+(24)5]\\\\& =\dfrac{25}{2}[8+120]\\\\& =\dfrac{25}{2}[128]\\\\& = \dfrac{3200}{2}\\\\& = 1600\end{aligned}[/tex]
Therefore, the sum of the first 25 terms of the given arithmetic sequence is 1600.
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SOH CAH TOA
I don't understand this stuff I have a test coming up can someone pls help me with this i am stuck
Answers
I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.
The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.
Let's use the trig ratio cosine.
cos(angle) = adjacent/hypotenuse
cos(39) = x/7
7*cos(39) = x
x = 7*cos(39)
x = 5.44002 which is approximate
x = 5.4
Make sure your calculator is in degree mode.
The following table shows the number of hours some teachers in two schools expect students to spend on homework each week.
School A
9
14
15
17
17
7
15
6
6
School B
12
8
13
11
19
15
16
5
8
Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (5 points)
Part B: Are there any outliers present for either data set? Justify your answer mathematically. (5 points) (10 points)
Answers
Answer:
Part A: School A Interquartile range = 9.5. School B Interquartile range = 7.5
Part B: There are no outliers present for either data set.
Step-by-step explanation:
For Part A, school A interquantile range is 9.5. Five number summary of school A is minimum = 6, quarantine q1= 6.5, median = 14, quarantine q3 = 16, and maximum = 17. Calculate Q3-Q1 = 16 - 6.5 which gives you 9.5
For School B, the interquartile range is 7.5. Five number of summary of school B is minimum = 5, quarantine q1 = 8, median = 12, quarantine q3= 15.5, maximum = 19. IQR Range = Q3-Q1 = 15.5 - 8. Which gives you 7.5
For Part B: All the outcomes of school A in between the values of -7.75 and 30.25. So this means there is no outliers in school A. For school B, all the outcomes of school B in between the values of -3.25 and 26.75. So there are no outlines in school B.
-2 2/3 divided by 4/3
Answers
Answer:
-2
Step-by-step explanation:
[tex]Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2[/tex]
Describe a set math po to guys pang grade 7 what is a set??
Answers
Answer:
A set is well-defined so that we can always tell what is and what is not a member of the set
i need asers pls now
Answers
342 = 2, 3, 6, 9
191 = no factors
1235 = 5
40320 = 2, 4, 8
16 = 2, 4, 8
78448 = 2, 4, 8
588 = 2, 4 , 12
67 = no factors
925 = 5
60043 = no factors
3663 = 3, 6
350 = 5
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An object is moving at a speed of 63 centimeters every 2 days. Express this speed in meters per hour.Round your answer to the nearest hundredth.
Answers
This speed in meters per hour is 0.01 meter per hour
How to determine the speed?The given parameter is
Speed = 63 centimeters every 2 days
Divide 63 by 2
So, we have:
Speed = 31.5 centimeters every day
There are 24 hours in a day
So, we have
Speed = 31.5 centimeters every 24 hours
100 cm equals 1 m
So, we have:
Speed = 0.315 meters every 24 hours
Divide
Speed = 0.013125 meter per hour
Approximate
Speed = 0.01 meter per hour
Hence, this speed in meters per hour is 0.01 meter per hour
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How do I solve
-1 2/3 - -5/6
Answers
Answer:
-7/6
Step-by-step explanation:
negative 5 over 6−
5
6
≈negative 0.833−0.833
. Write a variable expression that represents the following word phrase:
Four less than half the difference of 3 and x
Answers
Answer: [tex]\frac{3-x}{2}[/tex]-4
Step-by-step explanation:
(3-x)/2 -4=[tex]\frac{3-x}{2}[/tex]-4
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 yd whats the length and width
Answers
Answer:
length is 20 width is 5
Step-by-step explanation:
35
5 20
square root method 5x+9=134
Answers
Answer:
Step-by-step explanation:
What are you trying to find? If you want to find x then:
5x = 134 - 9
5x = 125
x = 25
if you want square root then,
x = √625 or
x = 5^2
Which statement describes the order of rotational symmetry for an isosceles triangle?
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
Answers
The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
According to the statement
We have to find that the correct statement about the rotational symmetry for an isosceles triangle.
So, For this purpose, we know that the
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.
From the given information:
Then from isosceles triangle,
An isosceles is a triangle that has two sides of equal length.
The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.
Thus, it also has two equal angles and one non equal angle. Thus, it does not have all congruent angles.
The order of rotational symmetry of a figure is the number of times we rotate up to 360° the figure such that it looks exactly the same as the original figure.
When we rotate the isosceles triangle up to 360° , only 1 time it looks exactly same as in the beginning because at each rotation the order of angles changes.
Therefore, The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
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Answer: B. An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
Step-by-step explanation: right on edge 2023
If Z is the Circumcenter of TUV, find each missing measure
Answers
Answer is
VY = 17
UZ =21
WV = 14.7
TV = 29.4
TU = 38
SOLVING STEPS
WV = [tex]x^{2}[/tex]+[tex]15^{2}[/tex] = [tex]21^{2}[/tex]
⇒[tex]x^{2}[/tex] + 225 = 441
⇒ [tex]x^{2}[/tex] = 441-225
⇒ [tex]x^{2}[/tex] = 216
⇒ x = [tex]\sqrt{216}[/tex]
VY = 17
UZ =21
WV = 14.7
TV = 29.4
TU = 38
The circumcentre of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcentre.
Method to Calculate the Circumcentre of a Triangle
Steps to find the circumcentre of a triangle are:
Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC
how to calculate the slope of the particular line :
By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)
Find out the equation of the other line in a similar manner
Solve two bisector equations by finding out the intersection point
Calculated intersection point will be the circumcentre of the given triangle
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Question 7
Which function below does not have a domain of (-∞0, ∞0)?
○ f(x) = {²+2
²+2,
[4x-1, ifr <1
if x ≥1
O f(x)= 2² +1
Of(x) = √2r-1+4
Of(r) = 3r² - 5x + 2
4.5
Answers
Answer:
Step-by-step explanation:
What functions have a domain of (- ∞ ∞?
Which function below does not have a domain of (-∞0, ∞0)?○ f(x) = {²+2²+2,[4x-1, ifr <1if x ≥1O f(x)= 2² +1Of(x) = √2r-1+4Of(r) = 3r² - 5x + 24.5
The domain of any polynomial function (including quadratic functions) is x∈(−∞,∞). Functions of even degree will have a bounded range (from below if the leading coefficient is positive, from above if it's negative), and functions of odd degree will have range y∈(−∞,∞).
If you answer you get 15 points.
Answers
Answer:D
Step-by-step explanation:
Answer:
I think it's the last one, the one that have month 4,6,8.
Step-by-step explanation:
add 7.5m, 2.25 and 50cm and give results in metres
Answers
The sum of the three values is 10.25 meters.
Here, we are given three measurements- 7.5m, 2.25m and 50cm
Since, we need to find the answer in meters, let us convert all the units to meters so that we can add them.
7.5 and 2.25 are already in meters so we do not need to covert them.
We only need to convert 50 centimeters.
As per mathematical conversions,
1 meter = 100 centimeters
This means that 50 centimeters will be,
100/2 centimeters = 1/2 meters
⇒ 50 centimeters = 0.5 meters
Now, we add all the given numbers,
= 7.5 + 2.25 + 0.5
= 9.75 + 0.5
= 10.25
Thus, the sum is 10.25 meters.
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Write a quadratic function in standard form Vertex (1,9); passes through (4,6)
Answers
y = -3 ( x - 1 )² + 9 is quadratic function in standard form Vertex .
How does a parabola's vertex shape work?
The coordinates of the point where a parabola crosses its axis of symmetry can be determined using the vertex formula for parabolas. The point is the vertex (h,k). As is common knowledge, a parabola's standard equation is y = ax2+bx+c.given , Vertex = (1,9)
point = (4,6)
The formula is
y = a + ( x - h )² + k
where h = 1 , k = 9
then y = a ( x - 1 )² + 9
Find the value of
a when one of the points is ( 4,6)
6 = a ( 4 - 1 )² + 9
6 - 9 = 9a
-3 = 9a
a = -9/3 ⇒ -3
put value of a
y = a ( x - 1 )² + 9
y = -3 ( x - 1 )² + 9
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Mark is purchasing new tiles for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased.
a. Write a piecewise function describing the cost of the boxes of tile.
Answers
Answer:
f(x)=
1. 48x when x < or = 3,
2. 45x when 4 < or = x < or = 8
3. 42x when 9 < or = x < or = 19
4. 38x when x > 19
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
6x +3 = 2x - 9
help please
Answers
Answer:
the equation is falseStep-by-step explanation:
6x + 3 = 2x - 9
6x - 2 x = -9 - 3
4x = -12
x = -12 : 4
x = -3
----------------
CHECK
6 * (-3) = 2* (-3) - 9
-18 = -15
the equation is false
hey can anyone help me out withthis question pls? we need to find the total surface area
Answers
Answer:
60000 cm squared 600 dm squared or 60 cm squared
Step-by-step explanation:
Can someone help me with this question please like I really need this asap.
Answers
Using the fact that the two angles are complementary, the we will find that the measures are:
∠1 = = 14°
∠2 = 76°
How to find the measures of the angles?
By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).
We also can see that:
∠1 = x - 5
∠2 = 4x
Then we can solve the linear relation:
(x - 5) + 4x = 90
x - 5 + 4x = 90
5x - 5 = 90
5x = 90 + 5 = 95
x = 95/5 = 19
Then the measures of the two angles are:
∠1 = (x - 5)° = (19 - 5)° = 14°
∠2 = 4x = 4*19° = 76°
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A standard train ticket in a certain city costs 3 per ride. people who use the train also have the option of purchasing a frequent-rider pass for 18.75 each month. with the pass, a ticket costs only 2.25 per ride. how many train rides in a month make the frequent-rider pass a better deal than standard train tickets?
a. 26 or more rides
b. 24 or more rides
c. 25 or more rides
d. 27 or more rides
Answers
Number of train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.
As given,
Cost of standard train ticket = 3 per ride
Price of frequent rider pass= 18.75 each month
Cost of ticket using rider pass = 2.25 per ride
let x be the number of rides
Equation:
18.75 + 2.25x < 3x
⇒ 0.75x > 18.75
⇒ x > 25
Therefore, number of train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.
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Find all the zeros of the quadratic function.
y=x^2+ 8x + 12
If there is more than one zero, separate them with commas.
If there are no zeros, click on "None".
Answers
Answer:
x=-2, -6
Step-by-step explanation:
factor the expression
y=x^2+ 8x + 12
y= (x+2)(x+6)
set the equation equal to 0, since you are finding zeros, or solutions
0=(x+2)(x+6)
split the equation into two parts
0=(x+2) and 0=(x+6)
solve the equations
you should get 2 zeros
x=-2, -6
sentence below is True or False.
Any multiplication can be undone by multiplying by the same number.
Answers
Answer: False
Step-by-step explanation:
\frac{\left(7x+4\right)}{2}=2-\left(2x+8\right)
Answers
Answer:5
Step-by-step explanation: I used this website called step-by-step calculator and then typed in your question
Analyze the table of values for the continuous function, f(x), to complete the statements.
A local maximum occurs over the interval
.
A local minimum occurs over the interval
.
Answers
A local maximum occurs over the interval (-2,0)
A local minimum occurs over the interval (0,2)
How do you find a function's maximum value?
We may calculate the maximum of a continuous and twice differentiable function f(x) by first differentiating it with respect to x and then equating it to 0.
A local maximum occurs over the interval (-2,0)
A local minimum occurs over the interval (0,2)
Step-by-step explanation:
-lukelaws hope i helped if i di please give me brainliest if i was wrong i am very sorry!
5 positive integers are arranged in
ascending order, as follows:
5, 6, 7, 7, x
The mode and the range are equal.
Find x.
x
Answers
Answer: x=12
Step-by-step explanation:
The range is: x-5
The mode is: 7
Hence,
x-5=7
x-5+5=7+5
x=12
The sears tower in chicago is 443 m tall. Joe wants to set the world’s stair climbing record and runs all the way to the roof of the tower. If joe’s average upward speed is 0. 60 m/s, how long will it take joe to climb from street level to the roof of the sears tower?.
Answers
It will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
What is speed?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity. Speed is a measure of how quickly something moves or is done, or how fast something moves. A car traveling at 45 miles per hour is an example of speed. Someone cleaning a room in 10 minutes is an example of speed. A jaguar's speed is an example of speed.To find how long will it take joe to climb from street level to the roof of the sears tower:
If Joe moves at 0.6 m/s in the vertical direction, the total distance he must cover is 443 meters in the vertical direction. The formula for average speed is now:Average speed = total distance / total timeTotal time = total distance / average speedTotal time = 443/0.6Total time = 738.3 secondsTherefore, it will take Joe 738.3 seconds (12.3 minutes) to climb from street level to the roof of the sears tower.
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Each day a small business owner sells 200 pizza slices at $2.50 per slice and 85 sandwiches at $2.00 each. Business
expenses come to $60 per day. What is the owner's profit for a ten-day period?
The profit is S
Answers
The owner's profit for a ten-day period is equal to $ 6100.
We are given that:
Selling price of 1 pizza slice = $ 2.50
Number of pizza slice sold per day = 200
Selling price for pizza slices in a day = 200 × $ 2.50
SP ( pizza ) = $ 500
Selling price of 1 sandwich = $ 2
Number of sandwich sold per day = 85
Selling price for pizza slices in a day = 85 × $ 2
SP ( sandwich ) = $ 170
Selling price in 1 day = $ 500 + $ 170 = $ 670
Now, Cost price in 1 day = $ 60
Profit in 1 day = $ 670 - $ 60 = $ 610
Profit in 10 days = 10 × $ 610 = $ 6100
Therefore, the owner's profit for a ten-day period is equal to $ 6100.
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A technical analyst would consider a put call ratio of ____ as a bearish indicator.
a. 40 percent
b. 30 percent
c. 50 percent
d. 60 percent
Answers
A technical analyst would consider a put call ratio of 30 percent as a bearish indicator.
What in SAPM is technical analysis?
Technical analysis is a type of security analysis that makes use of price and volume data, which are often graphical represented in charts. To provide investing advice, the charts are examined using a variety of indicators.Which technical metric is regarded as bullish?
One technical indicator that gauges the discrepancy between current prices and historical prices is the Channel Commodity Index (CCI). Its reading ranges from 100 to -100. Prices are viewed as bullish when CCI shifts from the negative to close to 100.Learn more about technical analysis
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