Answer:
C
Step-by-step explanation:
A. First two rectangles are dilations because
B. Second two rectangles are dilations because
C. Third two rectangles are not dilations because
D. Fourth two rectangles are dilations because
What is the solution set of this inequality? 8(x-5)-3x>/= -20
1 answer:
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Answer: and
Step-by-step explanation:
First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":
(1)
Then, we are told "he sum of the two numbers is 18":
(2)
At this point we have our system of equations and now we are able to find the values of and
.
So, let's begin by isolating from (2):
(3)
Substituting (3) in (1):
(4)
Finding :
(5) This is the value of
Substituting (5) in (1):
(6)
Finding :
(7)
(8) This is the value of
Answer:
m<7 = 139°
Step-by-step explanation:
Given:
m<3 = (3x + 11)°
m<2 = (4x + 1)°
Required:
m<7 = ?
SOLUTION:
Given that l and m are parallel lines, m<3 and m<2 are alternate interior angles.
Alternate interior angles are congruent. Therefore:
m<3 = m<2
(substitution)
Solve for x
Divide both sides by -1
Find m<2:
m<2 = (4x + 1)
Plug in the value of x
m<2 = 4(10) + 1 = 40 + 1
m<2 = 41°
Find m<7:
m<2 + m<7 = 180° (consecutive interior angles are supplementary)
41° + m<7 = 180° (substitution)
m<7 = 180 - 41 (subtracting 41 from each side)
m<7 = 139°