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Sphinxa [80]
3 years ago
14

The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?

Mathematics
1 answer:
Crank3 years ago
3 0
2x + 100 = 5x + 55
3x = 45
x = 15

2(15) + 100 = 130

180-130 = 50

so angle 2 is 50 degrees

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0
3 years ago
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Use mental math to find the difference.<br> 532-116
ExtremeBDS [4]

Answer:

416

Step-by-step explanation:

4 0
2 years ago
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1/2x-2 <br> One half multiply negative 2
sattari [20]

Answer:

Step-by-step explanation:

11

5 0
2 years ago
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Can someone please help me as soon as possible!
Elena-2011 [213]
Ed = 96 but switch the numbers
6 0
3 years ago
Don’t know how to solve, help ?
yawa3891 [41]
I believe the answer is 88 because the 120 will create a straight angle which is 180. Then you do 180-120=60. This is the measure I the left angle. Now your answer will be 88
8 0
2 years ago
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