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olganol [36]
3 years ago
11

What is the length of AB?​

Mathematics
2 answers:
kozerog [31]3 years ago
8 0

Answer: 6 units

Step-by-step explanation:

I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

galben [10]3 years ago
6 0

Answer:

AB = 38.64 m

Step-by-step explanation:

\cos \: 75 \degree =  \frac{10}{x} \\  \\ x =  \frac{10}{ \cos \: 75 \degree }   \\  \\ x = 38.637033052 \\  \\ x \approx \: 38.64

AB = 38.64 m

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It is given that the total measurement of the two angles combined would equate to 116°.

It is also given that m∠WXY is 10° more then m∠ZXY.

Set the system of equation:

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First, plug in "m∠2 + 10" for m∠1 in the first equation:

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Next, isolate the <em>variable</em>, m∠2. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10 from both sides of the equation:

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2(m∠2) = 116 - 10

2(m∠2) = 106

Next, divide 2 from both sides of the equation:

(2(m∠2))/2 = (106)/2

m∠2 = 106/2 = 53°

53° is your answer.

~

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