Answer:
x = 19
Step-by-step explanation:
x + (x + 4) + (3x - 9) = 90°
Combine like terms
5x - 5 = 90
Add 5 on both sides
5x = 95°
Divide 5 on both sides
x = 19
Correct answer A) x+4y=8 , represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .
<u>Step-by-step explanation:</u>
Here we have to identify Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .Let's find out:
A) x+4y=8
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Let's check if line has an y-intercept of 2 i.e. at x=0 value of y is 2 :
⇒ 
⇒ 
⇒ 
Hence , Correct option!
B) x=(-.25y+2)
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Incorrect option!
C) 4x+y=2
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Incorrect option!
D) y=-4x+8
Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :
⇒ 
⇒ 
⇒ 
Incorrect option!
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64
Steps:
(x-2)=4x
Pretend that there is a one in front of x-2
1(x-2)=4x
Multiply the bracket by 1
x-2=4x
Move x to the other side .Whenever you move a number or letter the sign changes.
x-x-2=4x-x
-2=3x
Divide by 3 for -2 and 3
-2/3=3/3 x
x=-2/3
Check answer by using substitution method
(-2/3-2)=4(-2/3)
(-2/3-6/3)=-8/3
-8/3=-8/3
Answer is -2/3
x6+50=320
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x6=50-50=320-50
x6=270
x6/6=270/6
x=45
So this person is spending $45 a month.