Hi, thank you for posting your question.
This problem can be solved through ratio and proportion which can be applied to similar triangles like that shown in the figure. By ratio and proprotion,
MP/MN = MB/MA
81.9/67.2 = x/(67.2-32)
Thus, x = 42.9
Answer:
x = 43
Step-by-step explanation:
x = 98 - 55
<u>x = 43</u>
Answer:

Step-by-step explanation:
Hi there!
Since we are given the slope and the y-intercept of the line, we can very easily identify the equation of the line.
Slope-intercept:
y=mx+b
Plug in the values:

Thus,
is the equation of the line.
Hope it helps! Enjoy your day!
~Just a teen willing to help others :)

I think the scale factor of one block to the arrangement would be 1/9, since the arrangement contains 9 blocks.
So if the length at the top is 12 cm, the length of the bottom of a trapezoid would be 12(1/9) = 4/3
Since we know that each trapezoid holds 3 equilateral triangles, the length of each side and the top of the trapezoidal would be 4/3 x 1/2 = 2/3 cm
The sum of the angles must equal 360 degrees, and because they are made of equilateral triangles, you know that each angle of the triangle must be 60 degrees. So the bottom two angles of the trapezoid are each 60 degrees, and the top two are 360- 120 = 240 divided by 2 angles = 120 degrees each.