The supplement of < 72 has the same measure as < (4x + 8). Therefore, < (4x + 8) must equal 108°. We can establish the following equality statement to solve for x:
< (4x + 8) + < 72° = 180°
Combine like terms:
4x + 80 = 180°
Subtract 80 from both sides:
4x + 80° - 80° = 180° - 80°
4x = 100
Divide both sides by 4 to solve for x:
4x/4 = 100/4
x = 25
To verify whether the value of x is correct, substitute its value into the equality statement:
< (4x + 8)° + < 72° = 180°
< [4(25) + 8]° + < 72° = 180°
< (100 + 8)° + < 72° = 180°
< 108° + < 72° = 180°
180° = 180° (True statement. Therefore, the correct answer is x = 25).
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A, c, and d
plug in each x in the equation and it should equal the y value
Answer:
1.Yes
2.Yes
3.No
4.No
5.Yes
Step-by-step explanation:
Just plug in the values of x and y for each set of coordinates.
Example from the first one
4x=y
4(5)=20
20=20 True
make sure all are valid by plugging in the next set of coordinates
4(6)=24
24=24 True
4(7)=28
28=28 True
and so forth with each equation plug in the coordinates
It is definitely a reflection over the horizontal (x) axis, but i think the dilation is by 2
Answer:
The LCM, or least common multiple, of 6 and 8 is 24.
