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3 years ago

Find the measure of stv in the figure

Mathematics

2 answers:

antoniya [11.8K]3 years ago

7 0

UTV is a straight line, which equals 180 degrees.

This means both angles UTS and STV when added together must equal 180.

3q + 15q +18 = 180

Simplify:

18q +18 = 180

Subtract 18 from both sides:

18q = 162

Divide both sides by 18:

q = 162 / 18

q = 9

Now you have a value for q to solve the angle.

STV = 15q +18

Replace q with 9:

STV = 15(9) +18

Simplify:

STV = 135 + 18 = 153 degrees.

LUCKY_DIMON [66]3 years ago

5 0

Answer:

STV = 153 degrees

Step-by-step explanation:

180 - 18 = 162 (angles on a straight line equal 180 degrees)

3q + 15q = 162

18q = 162

q = 162 / 18

q = 9

STV = 15q + 18

= 135 + 18

= 153

Hope this helps!

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3 years ago

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

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Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

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Step-by-step explanation:

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For your friend, total cost = 2x+y+3z=76

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Required system:

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put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

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$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

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$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

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3 years ago

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