Answer:
x=12
Step-by-step explanation:
Since AB=BD, they have equal length. 15x+4=2x+160, 13x=156, x=12
Answer:
sss is all sides are the same length, in the same order, and if they both have those side they are congruent. sas is two sides that are connected by an angle, and if the sides connected by that angle match the other triangle then they will be congruent
Step-by-step explanation:
Answer: The post office is 32 feet tall.
Step-by-step explanation:
We set up a proportion : 10ft/15ft = xft/48ft
In this equation "x" is the height of the post office. After setting up a proportion with the size of the buildings on the top (numerator) and the shadows of each building on the bottom (denominator) we cross multipy to get our equation to find x. We then divide both sides of the equation by 15 to get our answer.

Hello!

y = 2x³ + ax² - x + 3
Find the derivative using the power rule:
y' = 6x² + 2ax - 1
Substitute in the given slope and x value to solve for a:
3 = 6(1)² + 2(1)a - 1
3 = 6 + 2a - 1
4 = 6 + 2a
-2 = 2a
a = -1