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neonofarm [45]
3 years ago
10

The image shown has two triangles sharing a vertex:

Mathematics
2 answers:
Vika [28.1K]3 years ago
8 0

Answer:

40°.

Step-by-step explanation:

We can see from the diagram (in the comments) that ∠UWV and ∠XWZ are vertical angles; this is because they are opposite angles that share only a vertex.  

We can also see that both of these angles are 90°.

This gives us two angle measures of triangle WXZ, 50 and 90.  We know that the sum of the measures of the angles of a triangle is 180°; this gives us

180-(50+90) = 180-140 = 40° for the angle.

ZanzabumX [31]3 years ago
6 0
So you know that the sum of angles in a triangle is 180°. 
You know two of the angles in triangle WXZ. The two angles are angle WXZ, which is 50° and angle XWZ, which is 90°. 

Now you can calculate angle WZX, by: 
180-50-90=40°.
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Solution, solve\:for\:x,\:\left|3x+8\right|-9=-5\quad :\quad x=-4\quad \mathrm{or}\quad \:x=-\frac{4}{3}

Steps:

\left|3x+8\right|-9=-5

\mathrm{Add\:}9\mathrm{\:to\:both\:sides},\\\left|3x+8\right|-9+9=-5+9

\mathrm{Simplify},\\\left|3x+8\right|=4

|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a,\\3x+8=-4\quad \quad \mathrm{or}\quad \:\quad \:3x+8=4

3x+8=-4,\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides},\\3x+8-8=-4-8,\\\mathrm{Simplify},\\3x=-12,\\\mathrm{Divide\:both\:sides\:by\:}3,\\\frac{3x}{3}=\frac{-12}{3},\\\mathrm{Simplify},\\x=-4

3x+8=4,\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides},\\3x+8-8=4-8,\\\mathrm{Simplify},\\3x=-4,\\\mathrm{Divide\:both\:sides\:by\:}3,\\\frac{3x}{3}=\frac{-4}{3},\\\mathrm{Simplify},\\x=-\frac{4}{3}

Combine\:the\:ranges,\\x=-4\quad \mathrm{or}\quad \:x=-\frac{4}{3}

\mathrm{The\:Correct\:Answer\:is\:No\:They\:Are\:Not\:Correct}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

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Step-by-step explanation:

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Step-by-step explanation:

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