Answer:
x = 4
Step-by-step explanation:
6x - 8 = 4x
<em>subtract 4x from both sides of the equation</em>
6x - 4x -8 = 4x - 4x
2x - 8 = 0
<em>add 8 to both sides of the equation</em>
2x - 8 + 8 = 0 + 8
2x = 8
<em>divide both sides of the equation by 2</em>
2x/2 = 8/2
x = 4
To find the slope, you use the slope formula (m):
and plug in the two points
(-3, 4) = (x₁, y₁)
(2, -1) = (x₂, y₂)

[two negatives cancel each other out and become positive]


m = -1 The slope is -1

From Left side:


NOTE: sin²θ + cos²θ = 1






Left side = Right side <em>so proof is complete</em>
Answer:
Step-by-step explanation:
we are being told that each square is one unit. so, look at peak to peak and count the units.
1,2,3,4,5,6,7
From peak to peak is 7 units, so the period is 7
The perimeter of the pentagon with apothem of 5cm is 28.87cm
<h3>How to calculate the perimeter of a pentagon</h3>
The sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
Learn more on perimeter of pentagon here: brainly.com/question/11484726