Answer:
117°
Step-by-step explanation:
Angle of straight line is 180°
Angles in a triangle add up to 180°
starting at right
180 - 101 = 79° at right side angle in triangle
now solving left side angle
180 - 38 - 79 = 63°
now solving x using left side angle, must add to 180°
x + 63 = 180°
x = 117°
6 times x (the variable) plus 14 so basically 6x+14
Answer:
D. 14
Step-by-step explanation:
4a+ b - 5
4(4) + 3- 5
16+ 3 - 5
19-5 +14
Answer: d = 1
Step-by-step explanation:
First distribute the 7 to each term of (6 + d) = 42 + 7d = 49 now subtract 42 from both sides which = 7d = 7. Divide by 7 = 7d/7 = 7/7 = d = 1
Answer:
Step-by-step explanation:
Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k
For the x coordinates:
C' = kC
x' = kx
-2 = k(-6)
-2 = -6k
Divide both sides by -6
k = -2/-6
k = 1/3
For the y-coordinates:
y' = ky
3 = 9k
Divide both sides by 9:
3/9 = 9k/9
1/3 = k
k = 1/3
Hence the scale factor of the dilation is 1/3