The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
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Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
The answere would be D because 2/5 x 60 =24
then it would be 60 - 24
=36
therefore Kira will have $36 left
:)
It’s 7 units to the left.
Answer:
x = -27 or 1
Step-by-step explanation:
Let z = x^(1/3). Then the equation becomes the quadratic ...
z^2 +2z -3 = 0
(z +3)(z -1) = 0
z = -3 or +1 . . . . values of z that make the factors be zero.
Then
x = z^3
so the two solutions are ...
x = (-3)^3 = -27
x = 1^3 = 1
Check the picture below
the triangles are similar, the angles are congruents then
so... just add them up, and divide by 2, or set them as rational