Answer:
See explanation
Step-by-step explanation:
If 
then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so
and
Angles 1 and 3 are supplementary, so
Angles 2 and 4 are supplementary, so
By substitution property,
Hence,
Consider triangles APX and BPY. In these triangles:
- given;
- given;- - proven,
so 
by ASA postulate.
Congruent triangles have congruent corresponding sides, then
Therefore, triangle APB is isosceles triangle (by definition).
Answer:
$287.88
Step-by-step explanation:
Multiply 119.95 by 3.
You get <u>359.85</u>
Multiply that by 80% or 0.8
The answer is 287.88
F(x) = x^2 - 8x + 5
f(-1) = -1^2 - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 14 <==
-2x(4x² - 5x + 3) Distribute/multiply -2x into (4x² - 5x + 3)
(4x²)(-2x) - (5x)(-2x) + (3)(-2x)
-8x³ + 10x² - 6x
Your answer is the 3rd option
9514 1404 393
Answer:
360
Step-by-step explanation:
Sam obtains a "contribution margin" of $0.50 -0.25 = $0.25 per cookie. That will cover the cost of baking supplies when he sells ...
$90 / ($0.25/cookie) = 360 cookies
Sam needs to sell 360 cookies before he can start making a profit.
_____
If you like, you can find Sam's break-even point by equating revenue and cost. The is the number of cookies Sam must sell for a profit of 0, that is, for non-negative profit.
P = R - C
0 = R - C
R = C
0.50n = 90 +0.25n
0.25n = 90 . . . . subtract 0.25n
n = 90/0.25 = 360 . . . .divide by the coefficient of n
You may notice this is similar to our description above.
