Answer:
Step-by-step explanation:
The sum of angle measures is ...
(7x +13)° +(83 -2x)° = 141°
5x +96 = 141 . . . . . collect terms, divide by °
5x = 45 . . . . . . . . . subtract 96
x = 9 . . . . . . . . . . . divide by 5
7x +13 = 7·9 +13 = 76 . . . . . find m∠J
m∠J = 76°
m∠K = 141° -76°
m∠K = 65°
Answer:
40+4.50x+112
16 shoes daily to make his goal
Step-by-step explanation:
to find how much shoes he would have to sell take away 40 from both sides of the equation which would leave you with 4.50x=72 next divide 4.50 out of both sides of the equation x=16 so he would have to sell 16 pairs of shoes a day to meet his goal
Answer:
c
Step-by-step explanation:
it's more a gut feeling
Answer:
Line M - neither
Line N - parallel
Line P - perpendicular
Line Q - neither
Step-by-step explanation:
If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.
If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.
Solve either equation for either variable. Since the second one has y on its own, the easiest choice is to solve that for y.
-5x + y = 13 ⇒ y = 5x + 13
Now substitute this into the other equation to eliminate y and rewrite it entirely in terms of x :
-3x + 3y = 3 ⇒ -3x + 3 (5x + 13) = 3
Simplify and solve for x :
-3x + 15x + 39 = 3
12x = -36
x = -3
Substitute this into either original equation to solve for y. Plugging x = -3 into the first equation would give
-3 (-3) + 3y = 3
9 + 3y = 3
3y = -6
y = -2
So the solution to the system of equations is (x, y) = (-3, -2).
