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tigry1 [53]
3 years ago
13

ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show all

work in order to receive credit!

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
<span>x = 9 Since ZP bisects â OZQ, that means that the measurements for â OZP and â PZQ are the same. So create an equation with their respective values set to each other. 8x - 9 = 5x + 18 Now solve for x 8x - 9 = 5x + 18 Subtract 5x from both sides 3x - 9 = 18 Add 9 to both sides 3x = 27 Divide both sides by 3 x = 9</span>
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Vladimir79 [104]

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Step-by-step explanation:

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For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

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Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

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