Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
<u>Statements:</u> <u>Reasons:</u>
<u />
Given
Given
Vert. Angles Are Cong.
SAS Congruence
CPCTC
Answer: 64%
Step-by-step explanation:
The band needs $800 for new uniforms and of that, they only raised $512.
Set up a proportion
and plug everything you know in.
= 
Solve for x by cross multiplying and dividing.
512 × 100 = 51200
51200 ÷ 800 = 64
x = 64
The school band has raised 64% of their goal already.
Answer:
45 minutes is 3/4 of an hour, so find 3/4 of 12.
Divide 12 by 4 to get 1/4 of 12. That is 3.
3/4 is 3 of those, so multiply it by 3 to get 9.
So, she will have biked 9 miles.
We are given the expression x³ - 2y² - 3x³ + z⁴. We have to evaluate it at a given set of x, y, and z values. Before then, let's combine like terms.
x³ - 2y² - 3x³ + z⁴
= -2x³ - 2y² + z⁴ <-- by combining like terms
Now we evaluate for x=3 y=5 z = -3
= -2(3³) - 2(5²) + (-3⁴) <-- by putting in for x, y, z
= -2(27) - 2(25) + 81 <--- parentheses and exponents first in order of operations
= -54 - 50 + 81 <---- multiplication is next
= -4 + 81
= 77
Thus, we evaluate and it's 77.