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Natasha_Volkova [10]
3 years ago
12

The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perim

eter. (desperate need of help)

Mathematics
1 answer:
qaws [65]3 years ago
7 0

Answer:

write the expression for the perimeter of the 1st rectangle 6x

write the expression for the perimeter of the 2nd rectangle 4x + 30

write the equation 6x = 4x + 30

x= 15

perimeter = 90

Step-by-step explanation:

The perimeter is adding up all the sides of the rectangle.

So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.

Therefore, the perimeter is

2x + x + 2x + x

or

6x

Similarly with the second rectangles:

(x+12) + (x+3) + (x+12) + (x+3)

Combine like terms

x + x + x + x + 12 + 3 + 12 + 3

4x + 30

Set these two equal to each other because the two perimeters are equal

6x = 4x + 30

Subtract 4x on both sides

2x = 30

Divide by 2 on both sides

x = 15

Check:

6(15) = 4(15) + 30

90 = 60 + 30

90 = 90

The common perimeter is

6*15 = 90 units

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Find the midpoint of segment JP, given J(-4,6) and P(-12,-2).
grin007 [14]

Answer:

The answer is

<h2>( - 8 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  ,  \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J(-4,6) and P(-12,-2)

The midpoint is

<h3>M = ( \frac{ - 4 - 12}{2}  ,  \:  \frac{6 - 2}{2} ) \\  = ( -  \frac{16}{2} ,  \:  \frac{4}{2} )</h3>

We have the final answer as

<h3>( - 8 , 2)</h3>

Hope this helps you

6 0
3 years ago
In the figure below, a shaded polygon, which has equal sides and equal angles, is partially covered with a sheet of blank paper.
Zepler [3.9K]

Answer:

The polygon has 9 sides ⇒ D

Step-by-step explanation:

This is a tricky question

∵ The shaded figure is a quadrilateral

∴ The sum of the measures of its angles is 360

∵ Its angles are <u>x, y, and two vertices of the polygon</u>

∵ All angles of the polygon are equal in mesures

∴ x + y + m of 2 vertices = 360°

∵ x + y = 80

→ Substitute the value of x + y above by 80

∴ 80 + m of 2 vertices = 360

→ Subtract 80 from both sides

∴ m of 2 vertices = 280

→ Divide the two sides by 2

∴ m of 1 vertex = 140°

∴ The measure of each angle of the polygon is 140°

<em>The sum of the measures of the </em><em>interior angle and the exterior angle</em><em> at any vertex of the polygon is </em><em>180°</em>

∵ m of interior ∠ + m of exterior ∠ = 180° ⇒ at any vertex

∴ 140 + m of exterior ∠ = 180°

→ Subtract 140 from both sides

∴ m of exterior ∠ = 40°

∴ The measure of each exterior angle is 40°

<em>The </em><em>sum </em><em>of the measures of the </em><em>exterior angles</em><em> of any polygon is </em><em>360°</em>

∵ The measure of each exterior angle of the given polygon is 40°

∴ The number of the angles of the polygon = 360 ÷ 40 = 9

∵ The number of the angles of the polygon = the number of its sides

∴ The polygon has 9 sides

4 0
2 years ago
Help please???!!!!?!!!!??!!?!!!!!!!!
Alexeev081 [22]

Answer:

b,c,f

Step-by-step explanation:

a is -8

b 8

c 8

d -8

e 1-

f 8

g -8

h -8

5 0
2 years ago
Which expression is equal to (7 times 2)times 2
Lady bird [3.3K]
The answer is 28. 7x2=14 and then 14x2=28. Remember PEMDAS
7 0
3 years ago
I've done the sketch but am unsure as what my next steps should be?
Grace [21]

Answer:

you gotta see whats up with it

Step-by-step explanation:

7 0
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