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2 years ago

Solve for x. what are the measures of the two angles shown? show your work

Mathematics

1 answer:

mojhsa [17]2 years ago

4 0

Answer:

x = 34

Step-by-step explanation:

This is a straight line so the sum of angles must be 180°

4x + 20 + x - 10 = 180 add like terms

5x + 10 = 180 subtract 10 from both sides

5x = 170 divide both sides by 5

x = 34

To calculate each angle we replace x with the value we found

4x + 20 ➡ 4×34 + 20 = 156

x - 10 ➡ 34 - 10 = 24

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Harman [31]

Answer:

if it was 50% off the cost would be $145.64

Step-by-step explanation:

291.29 / 1/2= 145.64

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2 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

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3 years ago

What is the answer to this inequality 84 is no less than 7 times a number k

lyudmila [28]

84 is no less than 7 times K, 84 divided by 7= 12,

K=12

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3 years ago

Read 2 more answers

Every day Amy travels 30 miles one-way to work. The park-and-ride where she catches the train is 5 miles from her home. The aver

sukhopar [10]

Answer:

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3 years ago

Draw a line that connects each table to the correct graph

stealth61 [152]

Answer:

For number 1, you draw a line to the middle graph

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Step-by-step explanation:

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If this has helped you, please mark this answer as brainliest

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3 years ago

Solve for x. what are the measures of the two angles shown? show your work​

Solve for x. what are the measures of the two angles shown? show your work