Ask question

Ask question

All categories

2 years ago

10

What is X? its just lines,

1 answer:

tresset_1 [31]2 years ago

8 0

Answer:

x= 8

Step-by-step explanation:
Angles ∠LPJ and ∠MPK are equal to each other

So ∠LPJ = $(3x+12)$

We can add angles ∠LPJ and angle ∠JPQ for a total of 90 degrees

Now with the below equation set up, you can solve for X.

$(3x+12)+(9x-18)=90$
$12x -6 = 90$
$12x = 96$
$x=8$

You might be interested in

Correct order of (1/2)2,0.75,2/3

katrin2010 [14]

Lowest to highest:

1/2 , 2/3 , 0.75 , 2

7 0

4 years ago

A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum, we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = $\frac{x^{2} }{16}$

For the equilateral triangle, the length of the side = $\frac{23 - x}{3}$

Area = $\frac{\sqrt{3} }{4} a^{2} = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}$

Total Area = $\frac{x^{2} }{16}$ + $\frac{\sqrt{3} }{36} (23-x)^{2}$

$\frac{dA}{dx} = \frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x)\\$

$\frac{d^{2}A }{dx^{2} } = \frac{1}{8} + \frac{\sqrt{3} }{18} > 0$ , therefore it is minimum

$\frac{dA}{dx} = 0 \\\\$

$\frac{x}{8} - \frac{\sqrt{3} }{18} (23 - x) = 0\\$

x = 10.00m

3 0

3 years ago

Read 2 more answers

Which graph represents exponential decay?

faust18 [17]

Answer:

d

Step-by-step explanation:

6 0

3 years ago

If you decided to build a ramp using the 1:16 slope - ratio requirement , what would be the length of the diagonal portion of th

oee [108]

I spent a lil time on it but I’ll let you know in a lil but if I have the answer:)

4 0

3 years ago

Read 2 more answers

Find the surface area of the prism

Bess [88]

Answer:

it would be 124mm

Step-by-step explanation:

you multiply the base x height

3 0

3 years ago