I believe it’s the last one
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Answer:</h2>

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Step-by-step explanation:</h2>
For a better understanding of this problem, see the figure below. Our goal is to find
. Since:

and
is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

By Pythagorean theorem, for triangle NQP:

Applying Pythagorean theorem again, but for triangle MQN:

Answer:
C = pi * d = 2 * pi *r
Step-by-step explanation:
The circumference of a circle is the distance around the circle. It can be found by multiplying the diameter times pi.
C = pi * d
We can replace the diameter with twice the radius
C = pi * 2 * r = 2 * pi *r
Answer:
x=30, <A=60, <C=30
Step-by-step explanation:
A triangle always has its total angles added up to 180 degrees, so we can set up the following equation:
90+2x+x=180
90+3x=180
3x=90
x=30
Since x=30, this means <C is 30 degrees. For <A, it's twice as much as <C, so 2*30=60.
So x=30, <A=60, <C=30
Hope this helped!
Answer:
X = 4√3
Step-by-step explanation:
Using tangent-secant theorem
So,
X² = (4)(4+8)
X² = (4)(12)
X² = (48)
Taking sqrt on both sides
X = 4√3