Answer:
![\boxed {\boxed {\sf m \angle G = 63}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20m%20%5Cangle%20G%20%3D%2063%7D%7D)
Step-by-step explanation:
The angles in a triangle add to 180 degrees.
We are given triangle EFG. There are 3 angles: m∡E = 5x+6, m∡F = 4x-6, and m∡G = 5x-2.
The sum of these three angles must equal 180. Set up an equation and solve for x.
![(5x+6)+(4x-6)+(5x-2)= 180](https://tex.z-dn.net/?f=%285x%2B6%29%2B%284x-6%29%2B%285x-2%29%3D%20180)
Combine like terms on the left side.
![(5x+4x+5x) + (6 + -6 -2) = 180](https://tex.z-dn.net/?f=%285x%2B4x%2B5x%29%20%2B%20%20%286%20%20%2B%20-6%20-2%29%20%3D%20180)
![14x -2 = 180](https://tex.z-dn.net/?f=14x%20-2%20%3D%20180)
Solve for x. 2 is being subtracted from 14x. The inverse operation of subtraction is addition. Add 2 to both sides.
![14x-2+2=180+2 \\14x=182](https://tex.z-dn.net/?f=14x-2%2B2%3D180%2B2%20%5C%5C14x%3D182)
x is being multiplied by 14. The inverse operation of multiplication is division. Divide both sides by 14.
![\frac {14x}{14} = \frac{182}{14}](https://tex.z-dn.net/?f=%5Cfrac%20%7B14x%7D%7B14%7D%20%3D%20%5Cfrac%7B182%7D%7B14%7D)
![x= \frac{182}{14}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B182%7D%7B14%7D)
![x=13](https://tex.z-dn.net/?f=x%3D13)
Find the measure of angle G. Substitute x into the original expression.
![m \angle G =5x-2](https://tex.z-dn.net/?f=m%20%5Cangle%20G%20%3D5x-2)
![m \angle G = 5 (13)-2\\m\angle G = 65-2 \\m\angle G = 63](https://tex.z-dn.net/?f=m%20%5Cangle%20G%20%3D%205%20%2813%29-2%5C%5Cm%5Cangle%20G%20%3D%2065-2%20%5C%5Cm%5Cangle%20G%20%3D%2063)
The measure of angle G is 63 degrees.
Answer:-12/5
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
the equation of a vertical line parallel to the y-axis is
x = c
where c is the value of the x-coordinate the line passes through
here the line passes through (3, 2 ) and (3, - 4 )
both points have an x-coordinate of 3, hence
equation of line is x = 3
Answer:
The answer to your question is a) 4/12 b) 5/12
Step-by-step explanation:
Data
Lettuce = 1/12
Carrots = 3/12
Corn = 4/12
Red radishes = ?
a)
The total of the garden is 12/12
Red radishes = 12/12 - 1/12 - 3/12 - 4/12
= 12/12 - 8/12
= 4/12
4/12 of the garden are red radishes.
b)
Corn of lettuce = 1/12 + 4/12
= 5/12
5/12 of the garden are corn or lettuce.
Answer:
y=-9/2, x=7
Step-by-step explanation:
You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:
25+4y=x
Now plug 25+4y in for x in the second equation
3(25+4y)-2y=30
75+12y-2y=30
75+10y=30
10y=-45
y=-9/2
Plug this into the first equation:
25-x=-4(-9/2)
25-x=18
x=7