Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
=
, substitute values
=
( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
The names PNM and MPN are perfectly valid. The order of the letters doesn't matter. In fact, there are 6 ways to name this plane if we just use the 3 letters. If we include "plane Z", then there are 7 total ways to name the plane.
For some reason, your teacher wants P to be the third letter as s/he mentioned MNP and NMP. But again, the order doesn't matter.
Answer:
C
Step-by-step explanation:
You can rearrange the equation to make it: 4y=3x-2
The slope right now is 3,but that's not the answer
So you divide the whole equation by 4 (it will give you: y=3/4 x- 0.5
So from that you can see that the slope is 3/4, C
Answer:

Kelly is correct.
Step-by-step explanation:
One person is able to plant 4 trees
Let x be the number of people
y be the number of trees
The situation is represented by

5 people are able to plant 20 trees

So, the situation is represented by 
Hence, Kelly is correct.
Answer:
64
Step-by-step explanation:
the red height is 48 by pythagorean, and by 3:4:5 similarity x=64.