The measure of the each angle is a 45° and 135°.
According to the statement
We have to find that the measure of the each angle.
So, For this purpose, we know that the
A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
From the given information:
Two angles a form a linear pair. The measure of one angle is 1/3 the measure of the other angle.
Then
Since the two angles form a linear pair, the sum of their angles is equal to 180°. The condition given in the problem is that one angle is one-third of the other angle, or simply speaking, one angle is three times more than the other angle. We find the values of the angles by dividing the sum of the angles by 4 and assigning 3 and 1 times the dividend.
180°/4 = 45°
By obtaining the dividend, we obtain the values of the angles to be 45°
Then
the other angle is
Other angle = 180 -45
Other angle = 135.
So, The measure of the each angle is a 45° and 135°.
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Math 1325 problem im stuck on
Using limits, the average cost when printing an increasing large number is of $115.
How to solve a limit when x goes to infinity?When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.
For this problem, the cost function is:
[tex]C(x) = \frac{450 + 115x}{x}[/tex]
The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:
[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]
Hence the average cost when printing an increasing large number is of $115.
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Yessenia simplified an expression as shown below:
Answer:
Step 1
Step-by-step explanation:
Yessenia should have distributed 3 to (x+4) as her first step.
her steps should have been as follows:
x+6+3(x+4)
x+6+3x+12
re write: x+3x+6+12
4x+18
Simplifiy the expression 1/2 cubed - 6 divide √64
Answer:
[tex]-\frac{47}{64}[/tex] or [tex]\frac{1}{2}^{3} -6/\sqrt{64}[/tex]
Step-by-step explanation:
If you have only $50, can you afford to buy a pair of shoes marked $69.99?
Select all the correct locations on the image.
The revenue and cost functions for a product line of running shoes are shown on the graph. Which points on the graph are considered
breakeven points?
Total (dollars)
-5,000
4,000
3,000
+2,000/
+1,000
20
C(x)
Reset
27.
40
60
80
Price per Shoe (dollars)
Next
R(x)
100
120
Answer:
1) 4,000
2) 3,000
3) 20
4) 27
5) 40
6) 60
7) 80
8) 100
9) 120
Step-by-step explanation:
Write the decimal equivalent of:
Three hundred three and two hundredths
Answer: 303.002
Step-by-step explanation:
draw a model to represent the following problem 12x6
Answer:just draw 6 apples up and down, then draw them 11 more times right next to each other, so draw 72 apples
Step-by-step explanation:
i need help asap. plsss give me the right answer
Answer:
x < 3
Step-by-step explain: I used quizlet
Simon bought bags of potting soil to plant flowers on his patio. A large bag contains of soil, a medium bag contains of soil, and a small bag contains of soil. If he buys one large bag, one medium bag, and two small bags of soil, how many pots can Simon fill?
Answer:
12
Step-by-step explanation:
PLEASE HELP DUE TODAY, WILLGIVE LOTS OF POINTS. On a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1:300,000?
Answer:
4cm
Step-by-step explanation:
the ratio of the two scales is 100,000:300,000 which simplifies to 1/3
1/3 x 12 =4
Blake is moving and must rent a truck. There is an initial charge for the rental plus a fee per mile driven. Let C C represent the total cost of renting the truck when the truck is driven m m miles. A graph of C C is shown below.
The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
Given the graph,
Let's say the equation which is representing the situation is
C = (Slope)m + d
Where d is y-intercept = 40
Slope = difference in y's coordinate / difference in x's coordinate
Slope = (70 - 55)/(10 - 5)
Slope = 15/5 = 3
So the equation would be ;
C = 3m + 40
Hence "The equation of the given situation for total cost C is C = 3m + 40 where m is the number of miles".
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Given question is the incomplete complete question in form of the image has been attached below;
Which expression is equivalent to 4−3(x+2)+2(3−2x)? −7x+16 −7x+4 −x+16 −x+4
The equivalent expression of 4 − 3(x + 2) + 2(3 − 2x) is -7x + 4
How to determine the equivalent expression?The expression is given as:
4 − 3(x + 2) + 2(3 − 2x)
Open the brackets
4 − 3(x + 2) + 2(3 − 2x) = 4 - 3x - 6 + 6 - 4x
Collect the like terms
4 − 3(x + 2) + 2(3 − 2x) = - 3x - 4x + 4 - 6 + 6
Evaluate the like terms
4 − 3(x + 2) + 2(3 − 2x) = -7x + 4
Hence, the equivalent expression of 4 − 3(x + 2) + 2(3 − 2x) is -7x + 4
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order of operations MC
Joshua purchased a game card for the arcade for a total of $15. He played two basketball hoop games for $2.75 each and three rounds of air hockey for $1.25 each. How much did he have left on the game card?
Answer: $5.75
Step-by-step explanation: 2.75 x 2 = 5.5 1.25 x 3 = 2.75 2.75 + 5.5 = 9.25 $15 - $9.25 = $5.75
1. If A*B= A·B+1 and A□ B = A+B/2, then find 3 *[(7 □ 3) □ (3*4)].
2. If * represents and operation defined by a*b= a^b +b, find (1*2)*3.
Explain PLEASE!!!
The required solution would be 46 for a given problem (1).
The required solution would be 1 for a given problem (2).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that A * B= A·B + 1 and A □ B = A + B/2,
⇒ 3 *[(7 □ 3) □ (3*4)].
⇒ 3 *[(7 + 3/2) □ (3·4 + 1)].
⇒ 3 *[(17/2) □ (13)].
⇒ 3 *[17/2 + 13/2].
⇒ 3 *[30/2].
⇒ 3 * 15.
⇒ 3·15 + 1
⇒ 46
We have been given that * represents an operation defined by a*b= a^b +b,
find (1*2)*3.
⇒ a∗b = aᵇ + b
∴ (1 ∗ 2) ∗ 3 = (1²) ∗ 2 = (1) ∗ 2 = (1)³ = 1
Therefore, the required solution would be 46 for a given problem (1) and
the required solution would be 1 for a given problem (2).
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Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=-2x^5+10x^3
Answer:
Step-by-step explanation:
45
Can someone help me with this
Answer:
[tex]\sqrt{40}[/tex] would the answer to number 1.
(-1, 2) would be the answer to number 2.
Is 70,509,733 divisible by 6?
Answer:
no
Step-by-step explanation:
70,509,733 /6=11751622.2
Answer:
no
Step-by-step explanation:
because it has to be divisible for both 2and 3.
2:
70,509,733
3 is not even. so, not divisble by 2
3:
70,509,733
7+0+5+0+9+7+3+3= 34
34 is not divisble by 3
I HOPE THIS HELPS
Evaluate 2^x+5 when x=4
Answer:
=21
Step-by-step explanation:
2^4 equals 16, add 5 and its 21
2x2x2x2
\/
4x2x2
\/
8x2=16
Step-by-step explanation:
f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?
f(x) = 2^x + 5 , x = 4
f(4) = 2⁴ + 5
= 16 + 5
= 21
f(x) = 2^(x + 5) , x = 4
f(4) = 2^(4 + 5)
= 2⁹
= 512
Find the slope of each line
Find the unique solution to this system of equations. Give your answer as a point
Answer:
(x, y, z) = (-4, -5, 2)
Step-by-step explanation:
You want the solution to the 3×3 system of equations ...
3x -y -4z = -15-4x -4y -z = 342x +3y +5z = -13ToolsThere are many tools available for solving a system of equations. A typical hand-held graphing calculator offers at least two methods. An online graphing calculator solution is shown in the attachment.
For the attached solution, we defined z in terms of x and y using the second equation. This effectively reduces the system to a 2×2 system, which is easily solved. The same "substitution" method can be used when solving the system by hand.
The graph shows the solution to be (x, y, z) = (-4, -5, 2).
Manual solutionUsing z = -4x -4y -34 from the second equation, the system reduces to ...
3x -y -4(-4x -4y -34) = -15
19x +15y = -151
and
2x +3y +5(-4x -4y -34) = -13
-18x -17y = 157
Writing these equations in general form, we have ...
19x +15y +151 = 018x +17y +157 = 0The "cross multiplication method" gives the solution for x and y as ...
D = (19)(17) -(18)(15) = 53
x = (15(157) -17(151))/D = -212/53 = -4
y = (151(18) -157(19))/D = -265/53 = -5
Then z is ...
z = -4(-4) -4(-5) -34 = 16 +20 -34 = 2
The solution is (x, y, z) = (-4, -5, 2).
__
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.............................
[tex]\frac{ {9}^{x + 1} - {3}^{2x} }{4 \times {3}^{2x - 1} } \\ [/tex]
ans : 6
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{9 {}^{(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{2(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x + 2)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
here :
[tex]{ \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)} [/tex][tex]{ \sf {3}^{(2x)}=({3}^{(2x - 1)})\sdot (3¹)} [/tex][tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x - 1)}(3 {}^{3} - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} } [/tex]
[ taking [tex]{ \sf {3}^{(2x - 1)} } [/tex]common here ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{27 {}^{} - 3 {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{24{}^{} {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6[/tex]
A perpendicular bisector of DC is AB and a perpendicular bisector of AB is DC. the intersection of AB and DC is at E. Which equation is true?
EB =CD
AE= DE
DE = CE
CD= CE
AB=CD
Answer: DE = CE
Step-by-step explanation: AB is a continuous line so the distance from A to E could be different than the distance from D to E.
DE = CE is true.
A perpendicular bisector is a line that divides another line into two equal parts and is also perpendicular to it.
Here, we are given that AB is the perpendicular bisector of DC and DC is a perpendicular bisector of AB.
This means that AB and DC are the perpendicular bisectors of each other at the point of intersection, that is, E.
Now, since AB bisects DC at point E
⇒ DE = CE
and similarly, DC bisects AB
⇒ AE = BE
Apart from these two equalities, we cannot infer anything else from the given information.
Thus, out of the given options, we can see that only option 3, that is, DE = CE is true.
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A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of uncovered floor on the other 2 sides. Find a polynomial expression for the area of the rootn in terms of ×, the side length of the rug.
The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.
Here, we are given that the side of the length of the rug = x
Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.
This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)
Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)
Kindly refer to the diagram below for a better clarity of how we found out the sides.
Now, the area of a rectangle = Length × Breadth
Thus, area of the room = (x + 12) (x + 4)
= x^2 + 4x + 12x + 48
= x^2 + 16x + 48
Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48
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Please help me I need this fast in class
Will give brainlest for help!
I got half the question solved I need help with other half please
Answer: y=-37/2
Step-by-step explanation:
y=9x/8 + (-1/2)
y=9x/8 - 1/2
y=9(-16)/8 - 1/2
y=9*(-2) - 1/2
y=-18 - 1/2
y=-(18 + 1/2)
y=-(18 + 1/2)*2/2
y=-(36 + 1)/2
y=-37/2
A nail 6 1/3 inches long is driven into a board 2 2/5 inches thick. How much of the nail
protrudes from the other side of the board?
The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of 2[tex]\frac{2}{5}[/tex] inches
Given that A nail 6 [tex]\frac{1}{3}[/tex] inches long is driven into a board 2 [tex]\frac{2}{5}[/tex] inches thick and asked to find out how much the nail protrudes into the board.
To calculate the nail protrudes, need to subtract the length of the nail and the thickness of the board.
Length of nail protrudes= 6 [tex]\frac{1}{3}[/tex] - 6 [tex]\frac{1}{3}[/tex]
Length of nail protrudes=[tex]\frac{19}{3}[/tex]-[tex]\frac{12}{5}[/tex]
Length of nail protrudes=[tex]\frac{59}{15}[/tex]
Length of nail protrudes= 5[tex]\frac{9}{15}[/tex] .
Therefore,The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of 2[tex]\frac{2}{5}[/tex] inches
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2/9=?/18=?/27 help pleace thank u so much
Answer:Not there yet
Step-by-step explanation: Think about it your close 2/9 = nothing why do numbers determine our grades so don't answer if anything flunk out of school
Write an inequality and then solve.
9. A freight elevator can safely hold no more
than 2200 pounds. An elevator operator must
take 60-pound boxes to a storage area. If the
operator weighs 155 pounds, how many boxes
can be safely moved at one time?
Let the number of boxes be x.
The total weight of the boxes is 60x.
Adding the operator, the total weight is 60x+155, which is no more than 2200.
[tex]60x+155 \leq 2200 \\ \\ 60x \leq 2045 \\ \\ x \leq 34.08333... \\ \\ \lfloor x \rfloor =\boxed{34}[/tex]
Tucker ran five 3/8 miles on Monday and three 3/4 miles on Tuesday how far did you run on both days
Answer:
9/8 mile or 1 and 1/8 mile
Step-by-step explanation:
Add 3/8 + 3/4
LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)
8. How much energy does a 12 V battery in your car use to move 2.5 C through the electrical
circuit?
The energy required is 30 watts second.
In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or eliminated.
The voltage of a battery is 12 V and;
The charge is 2.5C.
Now, energy can be defined as the product of voltage and charge.
Therefore,
E = V × C
E = 12 × 2.5
E = 30 watt second
Hence, the energy needed by the 12 V battery to move 2.5 C through the electrical circuit is 30 watts second.
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All of my sides are the
same length. I have 4
right angles which
quadrilateral am I?
Answer:square
Step-by-step explanation: all right angles, all 90 degrees
