Answer:
d = 3
Step-by-step explanation:
3.5d + 6.25 = 1 + 5.25d
5.25d - 3.5d = 6.25 - 1
1.75d = 5.25
d = 5.25 ÷ 1.75 = 3
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.
I'd say by rounding and similar techniques the answer is 468, though it doesn't say all the needed numbers.
Angle 3, 6, and 8 have the same measure as angle 1
Answer:
The sum of -8 and 3 is -5