Answer:
(540-36π)km²
Step-by-step explanation:
First solve the area of the shaded triangle. 40 times 27 divided by 2 equals 540. Now subtract the area of the circle. The area of the circle is 36π because the radius is 6 and 6 squared times pi equals 36π. Finally subtract 36π from 540. The answer is (540-36π)².
Answer:
x = 4, y = 8
Step-by-step explanation:
If the triangles are congruent by the HL Theorem, it means that the hypotenuse and one leg of the right triangle are congruent to the corresponding one leg and hypotenuse of the other.
Thus;
2x - 5 = y - 5 (Eqn 1) and
y - 3 = x + 1 (Eqn 2)
Thus:
Rewrite equation 1
2x = y - 5 + 5
2x = y
Substitute y = 2x in equation 2.
y - 3 = x + 1 (Eqn 2)
2x - 3 = x + 1
Collect like terms
2x - x = 3 + 1
x = 4
Substitute x = 4 in equation 1
2x - 5 = y - 5 (eqn 1)
2(4) - 5 = y - 5
8 - 5 = y - 5
3 = y - 5
3 + 5 = y
8 = y
y = 8
Let the number be x.
Sum of 8 and the number = (8 + x) = 100
8 + x = 100
x = 100 - 8
x = 92.
The number is 92.
Answer:
x= 3x=17/4
Step-by-step explanation:
