Answer:
m<1 = 48°
m<2 = 132°
m<3 = 132°
m<5 = 48°
Step-by-step explanation:
Given:
m<4 = 48°
Required:
m<1, m<2, m<3, and m<5
Solution:
m<1 = m<4 (alternate exterior angles are congruent)
m<1 = 48° (substitution)
m<2 = 180° - (m<1) (linear pair theorem)
m<2 = 180° - 48° (substitution)
m<2 = 132°
m<3 = m<2 (alternate interior angles are congruent)
m<3 = 132° (substitution)
m<5 = m<4 (corresponding angles are congruent)
m<5 = 48° (substitution)
Answer:
Step-by-step explanation:
100%
Answer:
A.
Step-by-step explanation:
Divide how many roses they use by how many is in each: 882/3=294. They sell 294 vases :)
Answer:
C
Step-by-step explanation:
To figure out which pairs lie on -2x+4y = 16, we can plug the x and y values into the equation to see if they work. We need all pairs of x and y values in a table to work for the answer to be correct
A)
x=-4, y=2
-2x+4y = -2 * (-4) + 4 * (2) = 8 + 8 = 16. This works. Note that two negatives multiplied together make a positive, and 4*2 = 8
x=0, y=8
-2x + 4y = -2 * (0) + 4 * (8) = 0 + 32 = 32. This does not work, as 32 is not 16. Note that anything multiplied by 0 is 0
B)
x=8, y=0
-2x+4y = -2 * (8) + 4 * (0) = -16. This is not equal to 16. Note that a negative multiplied by a positive is still a negative
x=2, y=3
-2x + 4y = -2 * (2) + 4 * (3) = -4 + 12 = 8. This is not equal to 16.
C)
x=0, y=4
-2x + 4y = -2 * (0) + 4 * (4) = 0 + 16 = 16. This works
x=4, y=6
-2x + 4y = (-2)* (4) + 4 * (6) = -8 + 24 = 16. This works. As both pairs of values in the table works, this is the correct answer. Nevertheless, we can check D to make sure.
D)
x=-2, y=5
-2x+4y = -2 * (-2) + 4 * (5) = 4 + 20 = 24. This is not 16
x=-8, y=0
-2x+4y = -2 * (-8) + 4 * (0) = 16. This works, but the other pair does not work, so D is incorrect
