The main formula is E = sum Work,
or the work is W= FxAB=E
so AB= E/F = 126/ 14 = 9m
First, we circumscribe a rectangle about the parallelogram as shown in the figure. The size of this rectangle is 10 by 6 clearly.
Between the rectangle and the parallelogram 4 triangles are formed, 2 by 2 congruent. We are going to remove the area of these 4 triangles from 60 (the area of the rectangle) and thus get the area of the parallelogram.
Note that one of the triangles has side lengths 4; 4. Thus, the area of this triangle is (4*4)/2=16/2=8 (square units.)
Each of the other two non-congruent triangles to the above have sides of length 6;2, so the area of each is (6*2)/2 =6 (square units.)
Thus, the area of the parallelogram is 60-8-8-6-6=60-16-12=60-28=32 (square units.)
Answer: 32 (square units.)
Answer:
Step-by-step explanation:
so for the triangles in 7) they angles are the same in each, that's what the lines are saying, that they are the same angles, and because the angle are the same, the triangles are just a scale of each other we can say that the X side is just a ratio of the other triangle , or
= 
now just solve for X
*
=
*
x = 120/6
x=20
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for the triangles in 8) same thing
= 
*
=
*
X = 
X = 2
Answer:
Hi!
Step-by-step explanation:
The first thing you want to do is open up a graphing calc of your choice. For the sake of this problem, I'll be using the Desmos calc. You're gonna type in your equations into the calculator (look through attachments). You should then get two lines.
Ask yourself: Are these parallel, perpendicular, or neither.
In this case, they are parallel.
Hope this helps <3