Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1.
units
units
units
units, then

2.
and
are right angles - given
3.
two right angles are always congruent.
4.
by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Answer:
- 6x² - 2x + 1
Step-by-step explanation:
Given
(2x³ - 4x² - 3x + 5) + (- 2x³ - 2x² + x - 4)
Both parenthesis are distributed by 1 thus just remove them
= 2x³ - 4x² - 3x + 5 - 2x³ - 2x² + x - 4 ← collect like terms
= - 6x² - 2x + 1
Answer:
It takes 2.8 seconds for the ball to fall 215 ft.
Step-by-step explanation:
We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.
Setting up the equation.
The motion equation is given by

We can replace there s = 215 ft to get

Solving for the time t.
From the previous equation we can move all terms in one side to get

At this point we can solve for t using quadratic formula.

where a, b and c are the coefficients of the quadratic equation

So we get

Replacing on the quadratic formula we get

Using a calculator we get

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.
We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.
1 peso = 0.053 dollars.
x pesos = 400 US dollars.
1/x = 0.053 / 400 Cross multiply
400 * 1 = 0.053 x Divide by 0.053
400/0.053 = 0.053*x / 0.053
7547.17 pesos which rounded is
Answer: 7547 pesos