Answer:
∠ 4 = 117°
Step-by-step explanation:
∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then
∠ 4 = 180° - 63° = 117°
Step-by-step explanation:
Any lines that are parallel to each other have the same slope (coefficient of x is the same)
In this case, y = 2x + c.
Since it includes the point (0, 1), the y-intercept is 1 and that is c itself.
Hence, the equation of the parallel line is y = 2x + 1.
Let s be the measure of the measure of the sides of the square such that its area is s². From the conditions above, the length of the rectangle is s + 5 and its width is 0.5s. The area of the rectangle is (s+5)(0.5s)
s² = (s + 5)(0.5s)
The value of s is 5. Thus the dimension of the rectangle in w x h is 2.5 x 10.
Angle AOB + angle BOC = angle AOC
7x + 30 + 9x + 42 = 104
16x = 104 - 72
16x = 32
x = 2 degrees
Angle BOC = 9x + 42 = 18 + 42 = 60 degrees
Answer:
k = -10
Step-by-step explanation:
-9 + k/10 = -10
-10/10 = -1
-9 + -1 = -10
k = -10