Answer:
4.5 ft
Step-by-step explanation:
Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,
18/x = 8/2
Let's solve for x as required.
We have,
18/x = 8/2
=>Cross multiply:
18 × 2 = 8 × x
36 = 8x
=>Divide both sides by 8
36/8 = x
4.5 = x
x = 4.5 ft
The first option is our answer = 4.5 ft
To make this a little clearer, let's give the pairs of inequalities the same denominator:
<span>Question 1:
</span>

?

First, apply the common denominator to the first fraction:

Do the same for the second:

Nest, compare the two fractions:

Therefore:

>

<span>
Question Two:</span>

?

Apply the common denominator to fraction one:

Fraction two:

Evaluate:

>

Therefore:
<span>
> 
</span>
Hope this helps!
Answer:
The answer to your question is: 30°
Step-by-step explanation:
Data
m∠ 1 = 5x
m∠ 3 = x - 24
Process
m ∠ 1 = m ∠ 3 because they are vertical angles
5x = x - 24
5x - x = 24
4x = 24
x = 24 / 4
x = 6
Angle 1 = 5(6)
= 30°
M = (y2 - y1)/(x2-x1)
= 2+5/-3-1
= 7/-4
= -7/4