Answer: 44°
Step-by-step explanation:
Measures of the angles of a triangle
= 180°
Therefore, 180 - 105 + 31 = 44°
To be parallel, all the equation needs is the same slope as y = 7x - 8. And to go through an x intercept of 4, all we need to do is make the equation equal -4 when you input 0 for y. Using this information, we can make this equation:
![7x=y-4](https://tex.z-dn.net/?f=7x%3Dy-4)
We can simplify this down by dividing by seven on both sides.
![x=1/7y-4/7](https://tex.z-dn.net/?f=x%3D1%2F7y-4%2F7)
And that is your answer!
<u>Given</u>:
Given that Brinson's family is going camping. Their tent is shaped like a rectangular pyramid.
The volume of the tent is 6000 cubic inches.
The area of the base of the tent is 1200 square inches.
We need to determine the height of the tent.
<u>Height of the tent:</u>
The height of the tent can be determined using the formula,
![V=\frac{1}{3}Bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBh)
where B is the area of the base and h is the height of the pyramid.
Substituting V = 6000 and B = 1200, we get;
![6000=\frac{1}{3}(1200)h](https://tex.z-dn.net/?f=6000%3D%5Cfrac%7B1%7D%7B3%7D%281200%29h)
![6000=400h](https://tex.z-dn.net/?f=6000%3D400h)
![15=h](https://tex.z-dn.net/?f=15%3Dh)
Thus, the height of the tent is 15 inches.
Answer:
2:5
Step-by-step explanation:
The ratio of pair of flip flop to pair of sneakers is 4:10 we simplify it to 2:5 by dividing both sides by 2
<h3>1) <u>What is the solution for the system of equations</u></h3>
-2x+y=2...(i)
y=4x-1...(ii)
substitute y in (i)
-2x+(4x-1)=2
-2x+4x-1=2
-2x+4x=2+1
2x=3
2x/2=3/2
x=3/2
replacing x in (ii)
y=4(3/2)-1
y=6-1
y=5
solution=(3/2,5)
<h3 /><h3>2) <u>Solve the system of equations.</u></h3>
x-y+z=6 ...(i)
4y+1=z ...(ii)
3y=2z...(iii)
from(ii),
z=4y+1
substitute z in (iii)
3y=2(4y+1)
3y=8y+2
3y-8y=2
-5y=2
-5y/5=2/5
y=-2/5
substitute y in (ii)
z=4(-2/5)+1
z=-3/5
substitute z and y in (i)
x-y+z=6
x=6+y-z
x=6+(-2/5)-(-3/5)
x=31/5
solution=(31/5,-2/5,-3/5)
<h3>
3) <u>What is the solution for the system of equations</u></h3>
-4x+y=-2 ...(i)
y+5=-6x...(ii)
from (i),
y=-2+4x
substitute y in (ii)
(-2+4x)+5=-6x
-2+4x+5=-6x
-2+5=-6x-4x
3=-10x
3/-10=-10x/-10
x=-3/10
substitute x in;;y=-2+4x
y=-2+4(-3/10)
y=-2-6/5
y=-16/5
solution=(-3/10,-16/5)