Answer:
20
Step-by-step explanation:
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Answer:
since they are alternate exteriors, we put a equal sign
2x+78=5x+15
next we subtract 78 on both sides
2x+78-78=5x+15-78
2x=5x-63
then we subtract 5x on both sides
2x-5x=5x-5x-63
-3x=-63
after that we divide -3 on both sides
-3x/-3=-63/-3
and the answer is
x=21
Step-by-step explanation:
X is 50. The lengths of the radii extending out from the center to the chords are the same length, therefore, the chords are the same distance from the center and have the same measure.
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =

AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)
Answer:
Step-by-step explanation:
Divide 157 by 8 to see how many groups there are.
157/18=8r13. So you can round up to 9 groups of riders as there is a max of 18 at a time.