Answer:
x = 5/2
Step-by-step explanation:
4x - 1/2 = x +7
4x - 1/2 - x = 7
4x - x = 7 + 1/2
3 x = 15/2
x = 5/2
Answer from Gauthmath
Answer:(-4,0)
Step-by-step explanation:
Given
Point A (6,-4)
Reflection of Point A about line y=-2 is
A' (6,0)
If any Point is reflected about any line y=constant then its x coordinate remains same
Now reflection of Point A' about x=1 is
A'' (-4,0)
If any point is reflected about line x=constant then its y coordinate remains same
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
61, 63, 67,71,73,79,81,83