Answer:
X = 11
X = 7
Step-by-step explanation:
Part 1:
The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE
158 ÷ 2 = 79
You need to find x so you're going to set your equation of (8x - 9) = 79
Then you're going to add 9 to both sides to get 8x = 88
Divide both sides by 8 to get x = 11
Part 2:
We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90
add 1 to both sides and our equation is (13x = 91)
Divide both sides by 13 and...
x = 7
Answer:
x=13,y=0
Step-by-step explanation:
We are given a system of equations
For equation 1,square all terms to reduce it
√x²+√y²=169
x+y=13
Make x the subject as required by the question to use substitution method
x=13-y
Plug x=13-y into eqn 2
3(13-y)+2y=39
39-3y+2y=39
39-y=39
y=39-39=0
Plug y=0 into equation 1
x+0=13
x=0
Answer:
Angle, 
Step-by-step explanation:
We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.
The attached figure shows the A frame. Let 
is the angle that the roof makes with the floor. So,
So, the angle of 70.4 degrees is the angle that the roof makes with the floor.
Answer:
4w + 9
Step-by-step explanation:
Area of rectangle = length x width (or base x height, depending on how you look at it).
It is given to you that:
Area = 8w + 18
Length = 2
Let: width = x
Plug in the corresponding terms with the corresponding words:
8w + 18 = 2x
Isolate the variable, x. Divide 2 from both sides of the equation:
(8w + 18)/2 = (2x)/2
x = (8w + 18)/2
w = (8w)/2 + (18)/2
w = 4w + 9
4w + 9 is the expression that represents the width of the rectangle.
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