If "a" and "b" are two values of x-coordinate, and "m" is the midpoint between them, it means the distance from one end to the midpoint is the same as the distance from the midpoint to the other end
... a-m = m-b
When we add m+b to this equation, we get
... a+b = 2m
Solving for m gives
... m = (a+b)/2
This applies to y-coordinates as well. So ...
... The midpoint between (x1, y1) and (x2, y2) is ((x1+x2)/2, (y1+y2)/2)
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Jennifer had (x1, y1) = (-4, 10) and (x2, y2) = (-2, 6). So her calculation would be
... midpoint = ((-4-2)/2, (10+6)/2) = (-6/2, 16/2) = (-3, 8)
Brandon had (x1, y1) = (9, -4) and (x2, y2) = (-12, 8). So his calculation would be
... midpoint = ((9-12)/2, (-4+8)/2) = (-3/2, 4/2) = (-1.5, 2)
Since we know the polygons are similar, the side length ratio of each side must be equal.
13/5 = x/10
Multiply both sides by 10
x = 26
That's your answer. Have a nice day! :)
Answer:
28
Step-by-step explanation:
What you do is add up 42 and 76, then you subtract that from 180, because all triangles add up to 180. the subtracted amount is what z equals. Then since its a straight line you know it adds up to 180. You add z (62) and 90 because its a right angle. then you subtract 180 by 152 to get 28.
brianliest pls
Answer:
(4,-10)
Step-by-step explanation:
You set them equal to each other.
You get x=4
Sub in 4 for one of the equations
y=-10
20x - 30y = -50 ⇒ 20x - 30y = -50
x + 2y = -1 ⇒ <u>20x + 40y = -20</u>
<u>-70y</u> = <u>-30</u>
-70 -70
y = ³/₇
20x - 30(³/₇) = -50
20x - 12⁶/₇ = -50
<u> + 12⁶/₇ + 12⁶/₇
</u> <u>20x</u> = <u>47¹/₇
</u> 20<u /> 20<u>
</u> x = 2⁷/₂₀
(x, y) = (2⁷/₂₀, ³/₇)
