Answer:
Using SAS they are congruent.
Step-by-step explanation:
E is the point where the diagonals AC and BD meet.
Side: AB = CD
Angle: ∠ABE = ∠EDC
Side: BE = DE
Hence by SAS theorem the two triangles are congruent.
<u>Answer:</u>
The correct answer option is c.
.
<u>Step-by-step explanation:</u>
We are given an expression
and we are supposed to simplify it.
We can also write
as
.
We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:
![\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B%283.-%5Cfrac%7B2%7D%7B3%7D%29%7D%20%7D%7Ba%5E%7B%283.%5Cfrac%7B2%7D%7B3%7D%29%7D%20%7D%5C%5C%5C%5C%5Cfrac%7B3%5E%7B-2%7D%7D%7Ba%5E2%7D%5C%5C%20%5C%5C%5Cfrac%7B1%7D%7B3%5E2a%5E2%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B9a%5E2%7D)
Therefore, the correct answer option is c.
.
Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.
21.5m
i think that may be the answer!!
hopefully this helped some?!!!
Answer:
a) ![\frac{72x^5}{9x^7}](https://tex.z-dn.net/?f=%5Cfrac%7B72x%5E5%7D%7B9x%5E7%7D)
b) ![=\frac{8}{x^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%7D%7Bx%5E2%7D)
c), Yes;![8x^2](https://tex.z-dn.net/?f=8x%5E2)
Step-by-step explanation:
Michael's Weight: ![72x^5](https://tex.z-dn.net/?f=72x%5E5)
Al's weight: ![9x^7](https://tex.z-dn.net/?f=9x%5E7)
a) Ratio of Michael's weight to Al's weight: ![\frac{72x^5}{9x^7}](https://tex.z-dn.net/?f=%5Cfrac%7B72x%5E5%7D%7B9x%5E7%7D)
b) This ratio simplifies to: ![\frac{8\times 9x^5}{9x^5\timesx^2}](https://tex.z-dn.net/?f=%5Cfrac%7B8%5Ctimes%209x%5E5%7D%7B9x%5E5%5Ctimesx%5E2%7D)
![=\frac{8}{x^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%7D%7Bx%5E2%7D)
c) Yes, If the exponent in each expression were negative, then we have:
Ratio of Michael's weight to Al's weight: ![\frac{72x^{-5}}{9x^{-7}}](https://tex.z-dn.net/?f=%5Cfrac%7B72x%5E%7B-5%7D%7D%7B9x%5E%7B-7%7D%7D)
This ratio simplifies to: ![8x^{-5--7}=8x^2](https://tex.z-dn.net/?f=8x%5E%7B-5--7%7D%3D8x%5E2)
The two ratios are not the same.