Answer:
<h2>x= -2</h2>
Step-by-step explanation:
![8x - 3 = - 19](https://tex.z-dn.net/?f=8x%20-%203%20%3D%20%20-%2019)
Collect like terms and simplify
![8x = - 19 + 3 \\ 8x = - 16](https://tex.z-dn.net/?f=8x%20%3D%20%20-%2019%20%2B%203%20%5C%5C%208x%20%3D%20%20-%2016)
Divide both sides of the equation by 8
![\frac{8x}{8} = \frac{ - 16}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%7D%7B8%7D%20%20%3D%20%20%5Cfrac%7B%20-%2016%7D%7B8%7D%20)
Simplify
![x = - 2](https://tex.z-dn.net/?f=x%20%3D%20%20-%202)
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
This construction called a pencil of lines. That figure can have 3,4,5.... any number of straights lines. The main rule is their common point. And it looks like spokes of a wheel. Here you can find a lot of vertical angles and rays.