Answer:
29
Step-by-step explanation:
Since all triangles have to add up to 180, we can do the sum of the two angles we know minus 180. 90+61=151, 180-151=29
So your answer would be 29
<u>1 + 4x = -5 + 7x</u>
1st step: you need to move 4x to the right and -5 to the left so that all the x's are in one place. 4x will be negative and -5 will be positive when you move them. So it will be:
1+5=7x-4x
2nd step:
3x=6
3rd step: you need to divide both sides into 3, because it is the common divisor.
x=2
<h2>
To sum up:</h2>
<em>1 + 4x = -5+7x</em>
<em>7x - 4x = 1 + 5</em>
<em>3x = 6</em>
<h2>
<em>x = 2</em></h2>
You can try to memorize the summary. However, it is better to understand the solution as a whole.
Answer:
a = -4
b = 3
c = 6
Step-by-step explanation:
x^2 + 8x = 38
We take the coefficient of the x term
Divide by 2 and then square it
8/2 =4
4^2 = 16
Add 16 to both sides
x^2 +8x + 16 = 38 + 16
x^2 +8x +16 = 54
Take b/2 and use it in the the (x+b/2)^2
(x+4)^2 = 54
Take the square root of each side
sqrt((x+4)^2) = ± sqrt(54)
x+4 = ± sqrt(54)
Subtract 4 from each side
x+4-4 = -4 ± sqrt(54)
x = -4 ± sqrt(54)
Simplify the square root
x = -4 ± sqrt(9*6)
x = -4 ± sqrt(9) sqrt(6)
x = -4 ± 3 sqrt(6)
Answer:
x = 0
Step-by-step explanation:
Q(1, 2 ) and Q1(- 1, 2 ) are both 1 unit from the y- axis
Q is 1 unit to the right of the y- axis and Q1 is 1 unit is 1 unit to the left of the y-axis, thus
The y- axis is the mirror line with equation x = 0
