Answer:
Yes; the corresponding sides are proportional
Step-by-step explanation:
If two figures are similar, the lengths of their sides are proportional. This means if we set up a proportion with the sides we are given and cross-multiply, we get a true statement at the end of it.
Using the similarity statement ABCD~EFGH, we will compare AB to EF and BC to FG:
5/3 = 25/15
Cross multiply:
5(15) = 3(25)
75 = 75
We got a true statement, so the sides are proportional.
Answer:
2. 
3. 
Step-by-step explanation:
We add like terms together to simplify
2. 3x²-4x²= -x² -2x+5x= 3x 6+9= 15 all equal to -x²+3x+15
3. 2x²-3x²= -x² 6x-7x= -x 8+1=9 all equal to -x²-x+9
Answer:
see below
Step-by-step explanation:
A proportional relationship has a graph that <em>always goes through the origin</em>. This fact by itself eliminates all the wrong answers.
A slope of 2/3 means the rise is 2 for each horizontal run to the right of 3. The two given points are 2 vertical units and 3 horizontal units apart, demonstrating a slope of 2/3.
Answer:
32
Step-by-step explanation:
The formula needed to solve this question by hand is:
![x^{\frac{m}{n}} =\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D)
256^(5/8) = 8th root of 256^5
256^(5/8) = 8th root of 1280
<u>256^(5/8) = 32</u>
Hello from MrBillDoesMath!
Answer: +9
Discussion:
The opposite of a number is that number multiplied by -1. In our case the opposite number is (-1) * (- (abs(9))) = -1 * (-9) = +9
Thank you,
MrB