<h3>
Answer: -20</h3>
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Work Shown:
Let x be the location of E on the number line.
Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2
midpoint = (endpoint1 + endpoint2)/2
C = (E+F)/2
Plug in E = x, C = -8 and F = 4. Then solve for x
C = (E+F)/2
-8 = (x+4)/2
(x+4)/2 = -8
x+4 = 2(-8) .... multiplying both sides by 2
x+4 = -16
x = -16-4 .... subtract 4 from both sides
x = -20
The location of point E on the number line is -20
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As a check, lets add E and F to get E+F = -20+4 = -16
Then cut this in half to get -16/2 = -8, which is the proper location of point C
This confirms our answer.
so 4/5 of A is really 80% of A then.
since a whole A is 100% of A, 100% - 80% = 20%, A is being reduced by 20%, namely 1/5.
Answer:
6; 22; 20 (ft.)
Step-by-step explanation:
1) if the length of the each side are: n; 4n-2 and 4n-4, then the expression of the perimeter can be written: P=n+4n-2+4n-4 or P=9n-6.
2) if according to the condition perimeter is 48 (ft.), then
9n-6=P; ⇔ 9n-6=48; n=6.
3) if n=6, then the required lengths of the sides are:
n=6 (ft.);
4n-2=22 (ft.);
4n-4=20 (ft.)
w=37
2w+w+69= 180 knowing that all triangles add up to 180 form an equation
3w+69=180 combine like terms and subtract 69 from both sides
3w=111 divide by 3 from both sides
w=37
