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# Mathematics

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1. Triangle ABC is a right triangle with right angle at B.

AB=29cm

CB=38cm

What is the measure of C to the nearest degree?

2. Which equation correctly describes the relationship between the measure of inscribed angle and the measure of the intercepted arc in the figure?

Options- mPQR=360dg-m(arc)PR, mPQR=2(m arc PR), mPQR=1/2m(arc)PR, mPQR=m(arc)PR

3. In circle Q, what is the value of x?

Guest Apr 18, 2017
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1.

A

B         C

AB  = 29     CB  = 38

We can use the tangent inverse to find C

arctan ( 29/38)  =  C  ≈  37.35°

2.  mPQR=1/2m(arc)PR

3.  This iis a right triangle where the right angle intercepts the diameter......the sum of the other two angles  = 90...so...

x +  54  =  90

Subtract 54 from both sides

x = 36

CPhill Apr 18, 2017

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