The height of the trapezoid is
Explanation:
AKLM is a trapezoid.
The measurements of the trapezoid are AK=13, LM=14, KL=5, AM=20
We need to find the height of the trapezoid.
Let M' be a point on AM that is 5 units toward point A from M.
Let B be a point on AM such that KB⊥AM. Let x = AB; then BM' = 15 -x.
Using Pythagorean theorem, we have,
--------(1)
-----------(2)
Subtracting the two equations, we have,
Simplifying, we get,
Subtracting both sides of the equation by 225, we get,
Dividing by 30, we get,
Substituting in the equation , we get,
Thus, the height of the trapezoid is
0.23 rounded to the nearest tenth is .2
Answer:
y=1/4x+7
Step-by-step explanation:
Answer:
(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1
(-1 - 2/3) / (-1 -1) (answer both sides of the division side)
-5/3 / -2 (divide)
slope = 5/6 (the slope)
plug in values you know into point-slope form (y -y1) = m(x-x1)
y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )
y +1 = 5/6 (x +1) (use the distributive property)
y +1 = 5/6x+5/6 (subtract 1 from both sides)
y = 5/6x - 1/6 or B (this is the equation)
Step-by-step explanation:
I hope this helped :))