Answer:70 degrees and 150 degrees
Step-by-step explanation: The angles of a quadrilateral add up to 360. So the sum of the two angles is 360 - (55+ 85) = 220.
After that you can model the sum of the angles with an equation:
7x + 15x = 220
22x = 220
x = 10
then you plug in x for each angle 7(10) = 70 and 15(10) = 150
We can say that ‘0’ is also a rational number since it can represent it in many forms of 0/1, 0/2, 0/3, etc. So yea it is hope this helped!
Answer:
D. ![\sqrt[3]{5^7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%5E7%7D)
Step-by-step explanation:
The formula for this conversion is:
![a^\frac{x}{n}=\sqrt[n]{a^x}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7Bx%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Ex%7D)
Substitute the values you currently have.
![5^\frac{7}{3}=\sqrt[n]{a^x}](https://tex.z-dn.net/?f=5%5E%5Cfrac%7B7%7D%7B3%7D%3D%5Csqrt%5Bn%5D%7Ba%5Ex%7D)
Since we know that
a = 5
x = 7
n = 3
Fill the square root with this.
![5^\frac{7}{3}=\sqrt[3]{5^7}](https://tex.z-dn.net/?f=5%5E%5Cfrac%7B7%7D%7B3%7D%3D%5Csqrt%5B3%5D%7B5%5E7%7D)
D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.
C
is wrong as well. The triangles might be similar, but they are more. They are congruent.
B
You don't have to prove that. It is given on the way the diagram is marked.
A
A is your answer. The two triangles are congruent by SAS
