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Ad libitum [116K]
2 years ago
5

The sum of remote interior angels equals what?​

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
6 0

Answer:

Each of the remote angles shares one side with the angle adjacent to the exterior angle. The equation means that the sum of measures of the remote interior angles is equal to the measure of the exterior angle of the triangle.

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If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26
LuckyWell [14K]

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

8 0
3 years ago
In△XYZ , XY¯¯¯¯¯¯=7in , YZ¯¯¯¯¯=5in , and XZ¯¯¯¯¯=4in . This triangle is reflected across the x-axis to result in △X'Y'Z' . Whic
ki77a [65]

Answer:

B

Step-by-step explanation:

Reflection is a transformation that preserves lengths.

Triangle XYZ, with side lengths XY = 7 in, YZ = 5 in, XZ = 4 in, is reflected across the x-axis to result in △X'Y'Z'.

This means that corresponding sides have the same lengths:

  • XY = X'Y' = 7 in;
  • XZ = X'Z' = 4 in;
  • YZ = Y'Z' = 5 in.

Find the perimeters of both triangles:

P_{XYZ}=XY+XZ+YZ=7+4+5=16\ in\\ \\P_{X'Y'Z'}=X'Y'+X'Z'+Y'Z'=7+4+5=16\ in

Hence, only option B is true.

8 0
3 years ago
Keith earns $37.00 in 4 hours. How much would he earn in 11 hours?
Leona [35]

Answer:

C

Step-by-step explanation:

37/4= 9.25

9.25*11 =101.75

7 0
2 years ago
Read 2 more answers
Consider the following equations and name the property of equality used to solve for the variable.
Anestetic [448]

Answer:

Subtraction property ; x = 3.25

Division property ; - 6

multiplication property ; - 125

Addition property ; 13

Step-by-step explanation:

A.)

x + 3.75 = 7

Using the subtraction property : subtract 3.75 from both sides

x + 3.75 - 3.75 = 7 - 3.75

x = 3.25

B. )

–3b = 18

According to the division property :

Divide both sides by - 3

-3b / - 3 = 18 / - 3

b = - 6

C.)

m/5 = - 25

Using the multiplication property :

m/5 * 5 = - 25 * 5

m = - 125

D.)

m – 4 = 9

Using the addition property :

Add 4 to both sides :

m - 4 + 4 = 9 + 4

m = 13

8 0
3 years ago
Lily needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3
iragen [17]
Answer
456.50=159 + 3.5x
OR
3.5x=456.50-159

Reason
456.50 is the total
159 is for the parts
3.5 is the number of hours

So to find the cost you have to find out how much it cost for the labor by subtracting the total cost from the cost of the parts. To find the cost of labor for each hour you have to divide the total cost of labor by the number of hours used to work on the computer
6 0
2 years ago
Read 2 more answers
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