Answer:
(a) x = 30°
(b) mRS = 30°
mST = 120°
mTU = 120°
mUR = 90°
Step-by-step explanation:
(a) In the picture attached, the diagram is shown.
Given that m arc RS = x, from the ratios:
m arc ST = 4x
m arc TU = 4x
m arc UR = 3x
The addition of the four arcs must be equal to 360°, then:
x + 4x + 4x + 3x = 360°
12x = 360°
x = 360°/12 = 30°
(b) m arc RS = x = 30°
m arc ST = 4x = 4*30° = 120°
m arc TU = 4x = 4*30° = 120°
m arc UR = 3x = 3*30° = 90°
Answer:
#10) What is the rate of change of y with
respect to x of the table?
B.-5
Answer:
The bottom is 11
The median is 12
Step-by-step explanation:
The median is the average of the top and bottom
(13+ 2x-3) /2 = 4x-16
Combine like terms
(10+2x)/2 = 4x-16
Divide by 2
5+x = 4x-16
Subtract x from each side
5+x-x = 4x-16-x
5 = 3x-16
Add 16 to each side
5+16 = 3x-16+16
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
The bottom is 2x-3 = 2*7-3 = 14-3 = 11
The median is 4x-16 = 4*7-16 = 28 -16 = 12
15/7
5/2
2.54
2.7
That’s the order from least to greatest
