Answer:
Step-by-step explanation:
Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .
(3x + 10)° = 70°
3x = 60°
x = 20
QUESTION 1
The given logarithmic expression is

We rewrite
in the index form to base 4.
This implies that;

We now apply the power rule:
.

Recall that logarithm of the base is 1.


QUESTION 2
The given logarithm is;
![\log_2(\sqrt[5]{32})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B32%7D%29)
![\log_2(\sqrt[5]{2^5})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B2%5E5%7D%29)
This is the same as;



Answer:
Step-by-step explanation: I just answered for you?
Answer:
Isosceles.
Step-by-step explanation:
Two equal sides.
7, 7, and 5
An isosceles triangle can be drawn in many different ways. It can be drawn to have two equal sides and two equal angles or with two acute angles and one obtuse angle.
Answer:
1608.5 cm³
Step-by-step explanation:
Use the cylinder volume formula, V =
r²h
If the diameter is 16 cm, then the radius is 8 cm.
Plug in the radius and height into the formula, and solve:
V =
r²h
V =
(8)²(8)
V =
(64)(8)
V = 1608.5
So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³