Answer: X equals 8
Step-by-step explanation: figure OUTD is a rectangle. Each angle in a rectangle measures 90 degrees. Therefore we can derive the value of angle X by the following expression;
(7X + 2) + 4X = 90
7X + 2 + 4X = 90
11X + 2 = 90
Subtract 2 from both sides of the equation
11X = 88
Divide both sides of the equation by 11
X = 8.
Answer:
5
Step-by-step explanation:
700-35w=450+15w
Subtract 15 from -35
700-50w=450
Subtract 700 from 450
-50w=-250
divide -250 by -50w
answer is 5
Consider the given equation:

Cross multiplying in the given equation, we get

Applying distributive property which states
, we get


Adding '4' on both the sides, we get


Subtracting '10n' from both the sides of the equation, we get


Dividing by '-8' in both the sides of the equation, we get

Therefore, the value of 'n' is -1.
The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.
The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.
<h3>What is a scaled model?</h3>
A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.
First, divide the original measurements by the scaled ones. We get
1500 ft. ÷7.5 ft = 200
600 ft. ÷ 3 ft. = 200
Now, divide tennis courts actual dimensions by 200. That is
120 ft. ÷ 200 = 0.6 ft
60 ft. ÷ 200 = 0.3 ft
Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.
To learn more about scale factor visit:
brainly.com/question/22312172.
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Answer:
C
Step-by-step explanation:
The area of triangles is 1/2 x b x h.
Plug them in!
1/2 x 24 x 35
Simplify.
12 x 35
420 square inches