Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
Answer:
Order 2.
Step-by-step explanation:
The area of the given composite figure is 34 square feet
<h3>Area of rectangle</h3>
Area of the rectangle = length * width
<h3>Get the area of the given composite figure</h3>
For the composite figure shown:
Area = (8*3) + (2 * 5)
Area = 24 + 10
Area = 34 square feet
Hence the area of the given composite figure is 34 square feet
Learn more on area of rectangle here: brainly.com/question/25292087
66 square inches
Area of rectangle plus area of triangle
The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.
<h3>What is the Area of a Triangle?</h3>
Area of a triangle = 1/2(bh)
Given the dimensions of the flag as the following:
base (b) = 18 in.
height (h) = √(41² - 9²) = 40 in.
Area of the flag = 1/2(18)(40) = 360 in.²
Cost of material needed = (360)(0.15) = $54
Learn more about area of a triangle on:
brainly.com/question/9030437
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