Answer:
X = 67°
Step-by-step explanation:
The sum of every triangle’s interior angles is 180°. First subtract the given angle, 23°, from 180°. This equals 157°. Next you can see that one of the triangle’s angles has a right angle mark. This mark means it’s a right angle and all right angles are 90°. Take 157° and subtract 90°. This equals 67°. This means the remaining angle equals 67°.
-x - y = 8
2x - y = -1
Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.
-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y
So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.
2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5
Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.
-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3
So our solution set is
(-3, -5)
That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.
Answer:
Far left: constant of proportionality= 3.4
Middle: q=12----COP=3
Far right: COP=4----not proportional
Not sure its A but use this http://www.mathpapa.com/algebra-calculator.html
Answer:
Yes you did good job
Step-by-step explanation:
