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Shtirlitz [24]
2 years ago
12

What is WX? Explain your reasoning.

Mathematics
2 answers:
KengaRu [80]2 years ago
3 0

Answer:

180

Step-by-step explanation:

Solution 1: Any straight line is 180 degrees.

Solution 2: Angle WX=Angle YZW+ Angle YZX

Angle YZW=Angle YZX=90

Angle YZW+ Angle YZX=90+90=180

So Angle WX=180

Aleks04 [339]2 years ago
3 0

Answer:

Step-by-step explanation:

You can find WX if you know some special properties of special triangles:

1. A 45-45-90 triangle (a triangle with angle measures of 45°, 45°, and 90°) will have a 1:1:√2 ratio (the legs of the triangle are the same length and the hypotenuse is the length of any leg times √2)

2. A 30-60-90 triangle (a triangle with angle measures of 30°, 60°, and 90°) will have a 1:√3:2 ratio (the hypotenuse is twice the measure of the shorter leg, and the longer leg is √3 times the length of the shorter leg)

<em>For reference, a leg is a side on a right triangle that isn't the hypotenuse.</em>

In this picture, the first type of triangle is on the right, and the second type is on the left.

<h3>WZ</h3>

The shorter leg on the left triangle has a length of 10, and WZ is the longer leg. The longer leg is √3 times the shorter one, so WZ = 10√3

<h3>ZX</h3>

Both legs of a 45-45-90 triangle have the same measure, so ZX is 10.

Since WX is made up of WZ and ZX, it's length is the sum of both lengths.

{\rm WX} = 10\sqrt{3}+10

{\rm WX} \approx 27.321

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