Answer:
106 degrees
Step-by-step explanation:
Sides AB and CD are equal in length and sides AD and BC are parallel to each other. This tells us that angles B and C are equivalent. Knowing this, we can set up the following equation to solve for x:
![4x+42=74+2x](https://tex.z-dn.net/?f=4x%2B42%3D74%2B2x)
Subtract both sides by 42
![4x+42-42=74+2x-42\\4x=32+2x](https://tex.z-dn.net/?f=4x%2B42-42%3D74%2B2x-42%5C%5C4x%3D32%2B2x)
Subtract both sides by 2x
![4x-2x=32+2x-2x\\2x=32](https://tex.z-dn.net/?f=4x-2x%3D32%2B2x-2x%5C%5C2x%3D32)
Divide both sides by 2
![\frac{2x}{2} =\frac{32}{2} \\x=16](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%3D%5Cfrac%7B32%7D%7B2%7D%20%5C%5Cx%3D16)
Now, to find angle ABC, or angle B, we can plug x back into its expression:
![4x+42\\= 4(16)+42\\=64+42\\= 106](https://tex.z-dn.net/?f=4x%2B42%5C%5C%3D%204%2816%29%2B42%5C%5C%3D64%2B42%5C%5C%3D%20106)
Therefore, the measure of angle ABC is 106 degrees.
I hope this helps!
Answer:
You would be correct if the interest is 20%
Sorry Fam I Tried Hope You Get The Answr Your Looking For!
Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)
so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288
so r = 5 and 3O = 288 + 360p and O = 96 + 120p
so one cube root is 5 (cos 96 + i sin 96)
Im a little rusty at this stuff Its been a long time.
Im not sure of the other 2 roots
sorry cant help you any more
Answer:
x ≈ 370
Step-by-step explanation: