We have
<span>q^2 - 9 = (q + 3)(g - 3)
</span>q^2 - 9---------------> (q+3)(q-3)
therefore
(q+3)(q-3)=(q + 3)(g - 3)
(q-3)=(g - 3)
q=g
Whatever you do to one side you do to he other
Writing both in slope intercept form:
Line 1:
2x + 2y = 4 Subtract 2x
2y = -2x + 4 Divide both sides by 2
y = -x + 2
Line 2:
y = -x + 5
The lines have the same slope, -1, and different y-intercepts.
They are parallel lines
Answer:
Step-by-step explanation:
11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.
Make them equal to each other in an equation.
5x = x + 20
Subtract x from both sides.
4x = 20
Divide both sides by 4.
x = 5
12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:
x + x + 50 = 180
Combine like terms.
2x + 50 = 180
Subtract 50 from both sides.
2x = 130
Divide both sides by 2.
x = 65
Now make the base angle plus x equal 180, because they form a straight line.
65 + x = 180
Subtract 65 from both sides.
x = 115
13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.
x + x + 90 = 180
Combine like terms.
2x + 90 = 180
Subtract 90 from both sides.
2x = 90
Divide both sides by 2.
x = 45
