Answer:
<h2>B. x + 4y = 7</h2>
Step-by-step explanation:
Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).
In △DEF , the length of the base, DF¯¯¯¯¯ , is
4a, and the height is 2b, so its area is
1/2×4a×2b = 4ab.
In △QRP , the length of the base, QR¯¯¯¯¯ , is
3a-a = 2a, and the height is b, so its area is 1/2×2a×b = ab .
Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
It's 6 because if you simplify 6 over 8 you get 3 over 4 because half of 6 is 3 and half of 8 is 4
<h2>Solving Quadratic Equations with the Quadratic Formula</h2>
<h3>Answer:</h3>
and 
<h3>Step-by-step Explanation: </h3>
Recall:
if we have a quadratic equation, 
, where 
, 
and 
are real numbers and 
, 
.
Given:
Solving for 
:
Solving with the positive value:
Solving with the negative value:
Answer:
The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.
Two lines are parallel if, at any point, the distance between these two lines is always the same.
Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)
Thus, these lines are not parallel.
Then the corresponding angles theorem can not be used here, and we have that:
∠9 ≠ ∠10
