A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.
B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.
C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89
Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees
Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
The answer will be neither 58 nor 302 58 Both 58 and 302 or just 302
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements,
, is given by:
![G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}](https://tex.z-dn.net/?f=G%20%3D%20%5Csqrt%5Bn%5D%7Bn_1%20%5Ctimes%20n_2%20%5Ctimes%20...%20%5Ctimes%20n_n%7D)
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.

Thus:

We find the square of each side, so:


Simplifying both sides by 17:



The value of a is 18.
A similar example is given at brainly.com/question/15010240
Answer:29503.49
Step-by-step explanation: