Answer:
64 degrees
Step-by-step explanation:
Since the triangles are similar they have the same angle measures
![\frac{21}{14}= \frac{6}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B14%7D%3D%20%5Cfrac%7B6%7D%7B4%7D)
∠P = ∠S ∠R =∠U ∠Q=∠T
We know 2 of the angle measures: ∠S and ∠R, and since they are similar we know ∠P and ∠U
In triangles the sum of all angle measures is always 180 degrees, so we can solve for ∠Q with this formula
![A+B+C=180](https://tex.z-dn.net/?f=A%2BB%2BC%3D180)
![46+70+C+180](https://tex.z-dn.net/?f=46%2B70%2BC%2B180)
![116+C=180](https://tex.z-dn.net/?f=116%2BC%3D180)
subtract 116 from both sides
![C=64](https://tex.z-dn.net/?f=C%3D64)
Therefore ∠Q is equal to 64 degrees
The correct answer is 3.53
Answer:
(x+1)(x+8) When factoring squares whose squared coefficient is one the roots must add up to the coefficient of the slope and multiply out to the intercept value.
Here is how to work 2, 3 , and 4.