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2 years ago

2. The length of XZ is 28 units. If XY = 2x + 2 and YZ = 9x – 7, what are the lengths of XY and

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

8 0

Answer:

XY = 8 and YZ = 20

Step-by-step explanation:

If XY and YZ are on the one line, we can write

XY + YZ = 28

(2x+2) + (9x - 7) = 28

2x+2 + 9x - 7 = 28

11x - 5 = 28

11x = 33

x = 3

XY = 2x+2 = 2*3 + 2 = 8

YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20

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NEED THESE ANSWERED ASAP SO I CAN GRADUATE THIS WEEK

babunello [35]

For this case we must solve each of the equations proposed:

A) $-6 (2s-1) = 30$

We apply distributive property to the terms within parentheses:

$-12s + 6 = 30$

Subtracting 6 from both sides of the equation we have:

$-12s = 24$

Dividing between -12 on both sides of the equation:

$s = \frac {24} {- 12}s = -2$

B) $-3m = -5 (m-8)$

We apply distributive property to the terms within parentheses:

$-3m = -5m + 40$

We add 5m on both sides of the equation:

$2m = 40$

Dividing between 2 on both sides of the equation:

$m = \frac {40} {2}\\m = 20$

C) $7 (2-g) = 49$

We apply distributive property to the terms within parentheses:

$14-7g = 49$

We subtract 14 from both sides of the equation:

$-7g = 35$

Dividing between -7 on both sides of the equation:

$g = \frac {35} {- 7}\\g = -5$

D) - $7 (3w + 4) = 14$

We apply distributive property to the terms within parentheses:

$-21w-28 = 14$

We add 28 to both sides of the equation:

$-21w = 42$

Dividing between -21 on both sides of the equation:

$w = \frac {42} {- 21}\\w = -2$

Answer:

$s = -2\\m = 20\\g = -5\\w = -2$

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