H = 72°
k = 18°
m = 54
The measure of angle C is 108°. Angle C is a vertical angle along angle m and its adjacent angle. Furthermore, angle m and its adjacent angle to the right are congruent.
So, the equation used to find angle m is 2x = 108.
n = 62°
I think that r = 108° because it should be congruent to f because they look like alternate exterior angles.
Then, angles r and p form a linear pair so they are equal to 180°.
Knowing that r = 108°, p must be 72°.
Angle q, its consecutive adjacent angle to the left to which it's congruent to, and angle p all form a linear pair. So, 72 + 2q = 180. By simplifying this, we'll have q = 54°.
In order to find angle l, we need to understand that a triangle's total sum of interior angles is 180°.
18 + 72 + x = 180
90 + x = 180
x = 90
So, the measure of angle L is 90°.
Answer:
-57
Step-by-step explanation:
![log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57](https://tex.z-dn.net/?f=log%20%5Cfrac%7B%20%7Bc%7D%5E%7B7%7D%20%7D%7B%20%7Ba%7D%5E%7B6%7D%20%7Bb%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20log%20%7Bc%7D%5E%7B7%7D%20%20%20-%20log%28%20%7Ba%7D%5E%7B6%7D%20%7Bb%7D%5E%7B2%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%20%3D%20log%20%7Bc%7D%5E%7B7%7D%20%20%20-%20%28log%20%7Ba%7D%5E%7B6%7D%20%2B%20%20log%7Bb%7D%5E%7B2%7D%20%29%5C%5C%20%20%5C%5C%20%20%3D%207%20%5C%3A%20log%20%7Bc%7D%20%20%20-%20%286%20%5C%3A%20log%20%7Ba%7D%2B%20%202%20%5C%3A%20log%7Bb%7D%29%5C%5C%20%20%5C%5C%20%20%3D%207%20%5C%3A%28%20-%209%29%20-%20%5B6%20%5C%3A%20%28%20-%205%29%2B%20%202%20%5C%3A%20%2812%29%5D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2063%20-%20%5B%20-%2030%20%2B%2024%5D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2063%20-%20%5B-%206%5D%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2063%20%2B%206%20%5C%5C%20%20%5C%5C%20%20%3D%20%20-%2057)
<h2>○=> <u>Correct option</u> :</h2>
<h3>○=> <u>Steps to derive correct option</u> :</h3>
Angle 1 and angle 3 are vertically opposite angles.
We know that :
▪︎ Vertically opposite angles are always equal.
Which means :
Angle 1 = Angle 3
Thus, the measure of angle 3 = 70°
▪︎Therefore, the correct option is (D) 70
Answer:
351.68 millimeters for the cylinder and 8 23/75 millimeters for the half circle.
Step-by-step explanation:
Volume Cylinder = 3.14(16)(7) = 351.68
Volume Half sphere = 2/3(3.14)(4) = 8 23/75
If you want both of them together just add up the two numbers.
