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4 years ago

Find the value of X.

Mathematics

2 answers:

pychu [463]4 years ago

3 0

Answer:

Solution,

Theorem:

The angle bisector theorem states that if a ray bisects an angle of a triangle,then it divides the opposite side into two segments that are proportional to other two sides.

By the theorem,

$\frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3$

hope this helps...

Good luck on your assignment..

svetlana [45]4 years ago

3 0

Answer:

x = 3 :)

Step-by-step explanation:

(24 / (9x - 9)) = (32 / (6x+6))

24 (6x + 6) = 32 (9x - 9)

144x +144 = 288x - 144

-144x = -432

x = (-432 / -144)

x = 3

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Find the area of the shaded region. Round your answer to the nearest tenth.

Anestetic [448]

Answer: 2.5 or 2 1/2.

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3 years ago

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KengaRu [80]

Answer:

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5 0

3 years ago

Ryan flew from Wiley Post to Ponca City and back. Ryan maintained an average rate of 450 mph going to Ponca City and an average

Reil [10]

The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
               d             r            t
there       d           450         t
back        d           400        1-t

Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.

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3 years ago

A puppy store has a puppy that weighs 72 ounces how many pounds does it weigh 1 pound = 16 ounces

tresset_1 [31]

4.5 pounds

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1. we know that 1 pound is 16 ounces.

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72 ÷ 16 = 4.5

Use that answer and multiply it by the number of pounds per 16 ounces.

You get 4.5 pounds.

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4 years ago

Lin spent 5/6 hour on math homework and 1 3/4 hours on science homework how many hours in all did she spend on homework for both

Alenkinab [10]

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4 years ago