Point Q is the circumcenter of triangle UWV.
This would have been a much easier problem if you had bothered to actually include a diagram. But given the description of the line segment lengths, you have a triangle with vertexes UWV and the points T, S, and R are bisectors of their respective sides. Point Q is the circumcenter of triangle UWV. One easy way to find the circumcenter of a triangle is to construct the perpendicular bisector of the triangle's sides and the point of intersection of those bisectors is the circumcenter.
Answer:
d & e
Step-by-step explanation:
I'm assuming by "same side interior angle" they mean consecutive interior angles. I'll attach a document explaining what that is.
Answer:
Just took the quiz and the correct answer was B. 200d + 150 - 75d > 1,000
Step-by-step explanation:
f(x) = x³ + 3x² - x - 3 = x²(x + 3) - (x + 3)
= (x² - 1)(x + 3) = (x + 1)(x - 1)(x + 3).
The roots of f(x) are x = -3, -1 and 1.
=> The new roots are x = -5, -3 and -1.
=> g(x) = (x + 5)(x + 3)(x + 1) = x³ + 9x² + 23x + 15.
Answer:
A
Step-by-step explanation:
The general form of compound growth formula is:
![F=P(1+r)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et)
Where
F is the future amount
P is the initial amount
r is the rate of growth in decimal
t is the time in years
In the problem, initially there is 825 quail, so
P = 825
The future amount is given as "Y", so we will replace "F" of formula by "Y"
The rate of growth in 13%. This converted to decimal is:
13/100 = 0.13
The time is 3 years, so t = 3
Now, we substitute and find the model equation:
![F=P(1+r)^t\\Y=825(1+0.13)^3\\Y=825(1.13)^3](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et%5C%5CY%3D825%281%2B0.13%29%5E3%5C%5CY%3D825%281.13%29%5E3)
Correct answer choice is A