Answer:
<4 and <12
Step-by-step explanation:
When looking at Corresponding Angles, they need to be on opposite sides of a transversal. In this case, the answer is <4 and <12
Answer: A
<u>Step-by-step explanation:</u>
f(x) = x³ + 4x² + 7x + 6
possible rational roots are ±{1, 2, 3, 6}
Try x = -2
-2 | 1 4 7 6
<u>| ↓ -2 -4 -6</u>
1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0
The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.
a=1, b=2, c=3
The factors are:
![(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]](https://tex.z-dn.net/?f=%28x%20-%202%29%5Bx%20-%20%28-1%20%2B%20i%5Csqrt%7B2%7D%29%5D%5Bx%20-%20%28-1%20-%20i%5Csqrt%7B2%7D%29%5D)
Option B. From the parallelogram PQRS the value of y is given to be 30
<h3>How to solve for the value of y from the parallelogram</h3>
In order to get the value of y we have to use the formula
2y + 120 = 80
where the value 120 is the angle that is stated as 120 from the question
2y = 180 - 120
2y = 60
y = 60 / 2
y = 30
Hence the value of y = 30
We can go ahead to get the value of x as well
3x + 120 = 180
take the like terms
3x = 180 - 120
3x = 60
divide through by 3 to get x
60 / 3 = x
20 = x
Read more on parallelograms here: brainly.com/question/24056495
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