Answer:

Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

Since we know their equations, substitute:

Solve for x. Combine like terms on the left:

Subtract 9 from both sides:

Divide both sides by 9:

So, the value of x is 9.
We want to find A. So, let's use the equation for A:

Substitute 9 for x:

Add:

So, the measure of A is 17°.
Answer:

Step-by-step explanation:
-(4x+6)<2(5x+9)+2x
Distribute:
-4x-6<10x+18+2x
Combine like terms on either side:
-4x-6<12x+18
We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.
Add 4x on both sides:
-6<16x+18
Subtract 18 on both sides:
-24<16x
Divide both sides by 16:
-24/16<x
This implies:
x>-24/16
Reduce:
x>-3/2
x>-1.5
So in an interval notation this is
.
<u>Answer:</u>

<u>Step-by-step explanation:</u>
The formula for volume of a cylinder is as follows:

where:
• r = radius (? cm)
• h = height (7 cm).
Substituting the values into the formula:

Now solve for
:
⇒ 
⇒ 
⇒ 
Answer:
84 - c
Step-by-step explanation:
The correct expression would be 84 - c
Answer: The measure of angle 3 is 50 degrees.
Step-by-step explanation:
We know that angle 2 is 130 degrees.
Angle 1 and angle 2 are verticle angles which means that they are across and equal to each other.
So angle 1 and angle 2 are 130 degrees.
Add up both angle 1 and angle 2, 130 + 130 = 260.
Now, all of these angles add up to be 360 degrees in total as they make a circle and there are 360 degrees in one.
Subtract 260 from 360, 360 - 260 = 100.
Since both angle 3 and angle 4 are also verticle angles we need to split the 100 degrees evenly, 100 ÷ 2 = 50.
So, angle 3 is 50 degrees.