The floor of the gazebo shown is a regular octagon. Each side of the floor is 8 feet, and the area is about 309 square feet. You
1 answer:
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Complete question is attached.
Answer:
B) 8
Step-by-step explanation:
In this question, KLMN ~ PQRS. This means they are similar shapes.
From the image, we could denote that:
KL ~ PQ
LM ~ QR
Given that:
KL = 12
PQ = 30
QR = 20
LM = x
To find x, let's use tge expression:
Cross multiplying, we have:
12 * 20 = 30x
240 = 30x
To find x, let's divide both sides by 30.
8 = x
x = 8
The correct option is option B.
Greetings!
To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin
To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
The Solution Is:
I hope this helped!
-Benjamin