To form a linear pair means that when added, they equal 180 degrees.
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle.
So ABC and CBD are both right angles
Answer:
Step-by-step explanation:
First, we will sum
and
Then, from that sum, we will SUBTRACT 
First, lets take the sum by combining like terms:
Now, lets do the subtraction:
This is the answer.
Answer: x = ± 11+√113 ;
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2
Step-by-step explanation:
x^2=11-2
Add two to both sides
x^2+2=11x-2+2
Simplify
x^2+2=11x
Subtract 11x from both sides
x^2+2-11x=11x-11x
Simplify
x^2-11x+2=0
<u><em>Hope this helps!</em></u>
Please write the full question, you wrote half of the question. If you could write the full one, I could probably be able to answer it
Answer:
d. 94.25 in²
Step-by-step explanation:
The area of this composite figure is the sum of the areas of a semicircle and a triangle. Each of those areas can be found using the appropriate formula:
semicircle: A = (π/2)r²
triangle: A = 1/2bh
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<h3>semicircle</h3>
The semicircle has a radius equal to half its diameter. The radius is (10 in)/2 = 5 in. Its area is ...
A = (3.14/2)(5 in)² = 39.25 in²
<h3>triangle</h3>
The area of the triangle with base 11 in and height 10 in is ...
A = 1/2bh
A = 1/2(11 in)(10 in) = 55 in²
<h3>total area</h3>
The area of the figure is the sum of the areas of the semicircle and triangle, so is ...
figure area = (39.25 in²) +(55 in²)
figure area = 94.25 in²
