The measure of angle XYZ in the parallelogram is: 71°.
<h3>What are the Opposite Angles of a Parallelogram?</h3>In a parallelogram, the angles that are opposite each other are congruent.
Find m∠XWZ using the triangle sum theorem:
m∠XWZ = 180 - m∠WXZ - m∠WZX
m∠XWZ = 180 - 81 - 28
m∠XWZ = 71°
m∠XWZ = m∠XYZ [opposite angles are congruent]
m∠XYZ = 71°
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Answer:
Given equations:
<u>Make x the subject in equation 1</u>:
<u>Substitute this into equation 2</u>:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)
Martin will earn $350 for 28 hours of work.
Step-by-step explanation:
Given,
Amount earned in 7 hours = $87.50
Ratio of time to amount earned = 7:87.50
Let,
x be the amount earned in 28 hours.
Ratio of time to amount earned = 28:x
Using proportion;
Ratio of time to amount earned :: Ratio of time to amount earned
Product of mean = Product of extreme
Dividing both sides by 7
Martin will earn $350 for 28 hours of work.
Keywords: ratio, proportion
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