You can rewrite radical form expressions by putting the expression to the power of 1/n, n depending on the radical. For example: sqrt2 = 2^(1/2) or cuberoot4= 4^(1/3). Vice versa with rational exponent equations: 5^(1/2) = sqrt5 or 3^4/3 = cuberoot3^4
First one.
Since the two angles are congruent through vertical angles theorem,
5x = 6x - 8
5x - 6x = -8
-x = -8
x = 8
Second one.
Use the 180° rule.
(8x - 2) + (2x + 2) = 180
8x - 2 + 2x + 2 = 180
8x + 2x + 2 - 2 = 180
10x = 180
x = 180 / 10
x = 18
Third one.
Vertical angle theorem.
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 40 / 2
x = 20
Answer:
<u>5/4</u>
Step-by-step explanation:
Given :
- tanθ = 3/4 = opposite/adjacent
Finding the missing side :
- The hypotenuse must be found
- √3² + 4²
- √25
- 5
Taking the sec ratio :
- secθ = hypotenuse/opposite
- secθ = <u>5/4</u>
Answer:
x = 3
Step-by-step explanation:


Step-by-step explanation:
<h2><u><em>
81/24</em></u></h2><h2><u><em>
= 27/8</em></u></h2>