Answer:
x = 14
Step-by-step explanation:
8x + 26 and 3x are adjacent angles on a straight line and sum to 180°, that is
8x + 26 + 3x = 180
11x + 26 = 180 ( subtract 26 from both sides )
11x = 154 ( divide both sides by 11 )
x = 14
Answer:
Step-by-step explanation:
8x + 26° + 3x = 180°
11x = 180 °- 26°
11x = 154°
x = 14
Answer:
-1/20
Step-by-step explanation:
For a graph like this you should make the gallons of gas on y-axis and the miles driven on the x-axis.
To find slope the formula is (y2-y1)/(x2-x1)
So in this case it is 2-4/40-0
-2/40
This reduces to -1/20
Answer: 880
Step-by-step explanation:
The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.
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Explanation:
Check out the diagram below. I have added x and y such that
x = base angle
y = vertex angle (located adjacent to center of polygon)
The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.
The two base angles x must add with the vertex angle y to get 180
(angle1)+(angle2)+(angle3) = 180
x+x+y = 180
2x+y = 180
2x+72 = 180
2x = 180-72
2x = 108
This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.
Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.
The value of diameter is,
⇒ d = 16 mm
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters.
Since, We know that;
Surface area of cylinder is,
SA = 2πrh + 2πr²
Here, We have;
SA = 256π
h = 8 mm
Hence, We get;
256π = 2π × r × 8 + 2π × r²
128 = 8r + r²
r² + 8r - 128 = 0
r² + 16r - 8r - 128 = 0
r (r + 16) - 8 (r + 16) = 0
(r - 8) (r + 16) = 0
r = 8 mm
Hence, The value of diameter is,
d = 2 x 8
d = 16 mm
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Answer:
I believe the answer is 32.