Answer:
VW = 43.2
Step-by-step explanation:
First, we can see that VZ = 88 - 55 = 33.
Then by the Triangle Proportionality Theorem, we can write that:
Simplify:
Cross-multiply:
So:
Hi there!
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question - A 36-foot flagpole casts a 10 3/4 foot shadow, while the hospital nearby casts a 37 5/8 foot shadow. Find the height of the hospital
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if you correctly work this out the answer is:
The height of the hospital is 35 3/4 feet
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Have a nice day!
Answer:
oiie4546
Step-by-step explanation:
AREA OF A RECTANGLE IS 42 UNITS
Rectangle: Triangle:
A = L * W A = hb / 2
A = (x-8) * 6 A = (7(x-3)) / 2
A = 6x - 48 A = (7x - 21) / 2
Since the problem states that both rectangle and triangle have the same area.Then:
6x - 48 = (7x - 21) / 2
1) Eliminate the denominator 2 by multiplying both sides by 2.
2 * (6x - 48) = 2 * ((7x - 21) / 2)
12 x - 96 = 7x - 21
Find x. Transfer like numbers and change their signs.
12x - 7x = 96 - 21
5x = 75
5x / 5 = 75 / 5
x = 15
Substitute x by its value:
Rectangle: Triangle
A = (x-8) * 6 - A = (7(x-3)) / 2 Areas of both Rectangle
A = (15 -8 ) * 6 A = (7(15-3)) / 2 and Triangle is the same.
A = 7 * 6 A = (7 * 12) / 2
A = 42 units A = 84 / 2
A = 42 units
