Answer:
M is congruent to P, N is congruent to Q, and O is congruent to R.
Step-by-step explanation:
Congruent angles are angles with exactly the same measure.
Answer:
y = (-2/5)x - 2
Step-by-step explanation:
One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +: 5x - 2y = -6 becomes 2x + 5y = c. Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.
Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.
Then -4 = -2 + D, so that D = -2.
The desired equation is thus y = (-2/5)x - 2.
Check: Does this pass through (5, -4)? Is -4 = (-2/5)(5) - 2 true? Yes.
Is the slope -2/5 the negative reciprocal of 5/2? Yes, it is.
The percent increase in enrollment is 6 %
The operation used in first step is finding the difference between final value and initial value
<h3><u>Solution:</u></h3>
Given that This year, 1,272 students enrolled in night courses a a local college
Last year only 1,200 students enrolled.
To find: percent increase in the enrollment
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
<em><u>The percent increase is given as:</u></em>

Here initial value (last year) = 1200 and final value(this year) = 1272
Substituting the values in above formula,

Thus percent increase is 6 %
The second one is the only equivalent equation. Simply plug in each variable in each equation. And compare!
Answer:
x=2
ab=7
bc=5
Step-by-step explanation:
because you do
2x+3 = 4x+3
-3 -3
2x=4x
-2x -2x
x = 2
2x2+3
4+3
=7
4x2-3
8-3
=5