Answers:
x = 6 and P = 128
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Explanation:
The tangents CT and CU are equal to each other. The rule is that tangent segments that meet at a common point are the same length.
Let's solve for x
CT = CU
3x = 18
x = 18/3
x = 6
Because CT = 18, this makes BC = BT+TC = 12+18 = 30
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For similar reasoning as mentioned earlier, we can say tangents BT and BV are the same length. This means BV = 12.
Segment CD = 52 and CU = 18, which makes UD = CD-CU = 52-18 = 34
From there, we can say segment DV = 34 also. This leads to BD = BV+VD = 12+34 = 46
Triangle BCD has the three sides
The perimeter is
P = sum of the three sides
P = (side1)+(side2)+(side3)
P = BC + CD + BD
P = 30+52+46
P = 82+46
P = 128
True. Is the answer because how else will the goverment get money for their tooperate.
The point that lies on the bisector of angle PQR in the diagram given is: point Y.
<h3>What is an Angle Bisector?</h3>
An angle bisector is a segment that cuts an angle into two equal parts.
From the image given, point Y lies directly opposite to vertex Q. Point Y divides angle PQR into equal parts.
Therefore, the bisector of angle PQR is: point Y.
Learn more about angle bisector on:
brainly.com/question/24334771
#SPJ1
Step-by-step explanation:
A.
![{8}^{ \frac{1}{3} } = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%202)
B.
![{8}^{ \frac{2}{3} } = { (\sqrt[3]{8}) }^{2} = {2}^{2} = 4](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%20%7B%20%20%28%5Csqrt%5B3%5D%7B8%7D%29%20%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%3D%204)
C.
![{16}^{ \frac{3}{4} } = { (\sqrt[4]{16} )}^{3} = {2}^{3} = 8](https://tex.z-dn.net/?f=%20%7B16%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%20%7B%20%28%5Csqrt%5B4%5D%7B16%7D%20%29%7D%5E%7B3%7D%20%20%3D%20%20%7B2%7D%5E%7B3%7D%20%20%3D%208)
