The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:

First side = x

Second side = x + 10

Third side = x + 10 + 10 = x + 20

Forth side = x + 30

Fifty side = x + 40

Therefore,

x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500

5x + 100 = 500

5x = 500 - 100

5x = 400

x = 400/5

x = 80

Therefore, the lengths will be:

First side = x = 80cm

Second side = x + 10 = 80 + 10 = 90cm

Third side = x + 20 = 80 + 20 = 100cm

Forth side = x + 30 = 80 + 30 = 110cm

Fifty side = x + 40 = 80 + 40 = 120cm

8 0

3 years ago

2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0

zlopas [31]

Answer:

$x = 4$

Step-by-step explanation:

Let's solve:

$2(2−2x)=−3x$

Step 1: Simplify both sides of the equation.

$2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x$

Step 2: Add 3x to both sides.

$−4x+4+3x=−3x+3x \\ −x+4=0$

Step 3: Subtract 4 from both sides.

$−x+4−4=0−4 \\ −x=−4$

Step 4: Divide both sides by -1.

$\frac{ - x}{ - 1} = \frac{ - 4}{ - 1}$

Therefore, the answer will be x = 4.

5 0

3 years ago

Find the Domain and range of each relation. <br> 1. Q= {(3,4), (-4,1), (2,5), (-4,1), (0,0)}

zimovet [89]

Answer:

Step-by-step explanation:

domain is all ur x values.....

domain = { -4,0,2,3}....u only have to write them once if they repeat

range is all ur y values....

range = { 0,1,4,5}

7 0

3 years ago