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3 years ago

If l is parallel to m, find the value of each missing variable.

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

Answer:

x = 26; l = 137; m = 137

Step-by-step explanation:

If the lines are parallel, that means the measurements are too. As such, equal the two expressions together

5x + 7 = 8x - 71

add 71 to both sides

5x + 7 + 71 = 8x - 71 + 71

-71 and +71 cancel each other out

5x + 78 = 8x

subtract 5x from both sides

5x - 5x + 78 = 8x - 5x

5x - 5x cancels each other out

78 = 3x

divide both sides by 3

3x ÷ 3 = 1x which can also be written as just x

78 ÷ 3 = x

26 = x

plug in this x value into both expressions to find variables l and m

5(26) + 7

130 + 7

137

8(26) - 71

208 - 71

137

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The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i

dalvyx [7]

Answer:

r=3x

Step-by-step explanation:

The Volume of a Cone

The volume of a cone of radius r and height h is:

$\displaystyle V=\frac{1}{3}\pi hr^2$

We are given the volume of a cone is

$V=3\pi x^3$

Equating:

$\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3$

Multiplying by 3:

$\pi hr^2=9\pi x^3$

Simplifying by pi:

$hr^2=9 x^3$

Since h=x:

$xr^2=9 x^3$

Dividing by x:

$r^2=9 x^2$

Taking square roots:

$r=\sqrt{9 x^2}=3x$

Thus: r=3x

5 0

2 years ago

Read 2 more answers

Please I need this ASAP so can someone helpppppp

iris [78.8K]

AC = 8.9
BC = 6.5
(90% angle)
8.9 x 6.5 = 57.85
57.85/2 = 28.925
Area of ^ABC = 28.925 cm squared

DE = 55.1
55.1/ 11.02 = 5
DEF is 5 times as big as ABC
DF = 44.5
FE = 32.5
44.5 x 32.5 = 1446.25
1446.25/2 = 723.125
I am not positive but I believe DEF = 723.125 cm squared
Good Luck on the Test!! :D

7 0

3 years ago

What is 6x(13-6) =7 squared?

Novay_Z [31]

6 × (13 - 6) = 42, not 7, but 7² is 49 and 42² is 1,764.
I hope this helps!

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3 years ago

Read 2 more answers

For what value of x must ABCD be a parallelogram? asap please!!

pochemuha

Parallelogram so
CD = AB
18x - 5 = 15x + 4
3x = 9
x = 3

answer
x = 3

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