1. These angles are complementary, which means that they add up to 90 degrees.
x + 73 = 90
x = 17 degrees
2. These angles are supplementary, which means that they add up to 180 degrees.
x + 118 = 180
x = 62 degrees
Hope this helps!! :)
Answer:
Keri spent $2.94 and Keri now has $27.73.
Step-by-step explanation:
$2.38+$0.56= $2.94
$30.67-$2.94=$27.73
Answer:
we might be starting it again soon
Step-by-step explanation:
Im in 7th and I might need help!!
Answer:
Step-by-step explanation:
I think it’s x=-9
Answer:
r = (ab)/(a+b)
Step-by-step explanation:
Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).
Using the Pythagorean theorem, we can write the relation ...
((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2
a^2 +2ab +b^2 -4r(a+b) +4r^2 = 4r^2 +b^2 -2ab +a^2
-4r(a+b) = -4ab . . . . . . . . subtract common terms from both sides, also -2ab
r = ab/(a+b) . . . . . . . . . divide by the coefficient of r
The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).
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The graph in the second attachment shows a trapezoid with the radius calculated as above.