Answer:
Option (1)
Step-by-step explanation:
By using triangle sum theorem in the given triangle,
(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°
(5x + 11x + 3x) - (7 + 4 - 1) = 180
19x - 10 = 180
19x = 190
x = 10
Therefore, (3x + 1)° = 30 + 1
= 30°
(11x - 4)° = 110 - 4
= 106°
(5x - 7)° = 43°
Therefore, Option (1) will be the correct option.
Answer:
x = -5 and x+1( consecutive integer) = -4
obviously x is smaller than the next integer
Step-by-step explanation:
Let the first integer be x
hence the consecutive integer is x +1
according to the give condition
x + 6(x + 1) = -29
x + 6x + 6 = -29
7x = -29 -6
7 x = -35
x = -35/7
x = -5
x + 1 = -5 + 1 = -4
GOOD LUCK FOR THE FUTURE! : )
Answer:
Then you don't change the sign.
Two like signs become a positive sign.
Two unlike signs become a negative sign.
Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of a horizontal line is equal to the y-coordinate of the point that passes through it
In this problem we have

This is a horizontal line (parallel to the x-axis)
The slope of this line is equal to zero
so
All points that pass through the line will have the same y-coordinate equal to -5
see the attached figure to better understand the problem
First, convert that into a y=mx+b form.
Move the x to the other side so y is the only thing on the left. Since you moved it to the other side of the equal sign, be sure to make that number negative (the opposite sign)
Now… you have 4y=-3x+28
Let’s get y by itself. Since you’re multiplying 4 and y, you divide everything by 4 to get your y.
That leaves you with y=-3/4x+7.
We are looking at slope, which is your m in the y=mx+b form.
That is -3/4. The answer is the last square.