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4) 
Multiply by 2 on both sides
3m + 15 = 45
Subtract both sides by 15
3m = 30
Divide both sides by 3
so m = 3
5) 
Multiply both sides by 8
168 = q + 35
Subtract both sides by 35
q = 133
6) 
Subtract 14 from both sides
multiply by -11 on both sides
4x = 572
Divide both sides by 4
x= 143
7) 
Add 6 on both sides
Multiply both sides by 5
3c = 75
Divide both sides by 3
c = 25
8) 
Subtract both sides by 17
Multiply both sides by -2
t = -52
9) 
Multiply both sides by -7
42= 5p + 2
subtract 2 from both sides
40 = 5p
Divide both sides by 5
so p = 8
Answer:
Step-by-step Turn 7 into a fraction
3/5 ÷ 7/1
Use the recipricle and multiply
3/5 x 1/7
Multiply across
3/35
And that's it! :)
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as
h1/s1 = h2/s2
where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree
Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
Answer:
The line given is equal to y=-x+7 (Through rearranging)
To find the new line, we substitute the given coordinates (5,8) in the equation without the given y-intersect (+7):
-8=-5+c
c=-3
The line parallel to x+y=7 that passes through the point (5,-8) is y=-x-3
Answer:
There are 5 faces, 5 vertices, and 8 edges, so all of that together is 18
