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Bad White [126]
3 years ago
11

Points A, B, C, and D are collinear and positioned in that order. Find the length indicated 7) Find BC if BC = 2x + 4, AD = 28,

CD = 3x - 2, and AB = 3x + 2. 8) Find BD if BD = -7 + 3x, AB = 2x - 14, AC = 2x - 3, and CD = 9.
Mathematics
1 answer:
belka [17]3 years ago
7 0

Answer:

  7)  BC = 10

  8)  BD = 20

Step-by-step explanation:

7) The segment addition theorem tells you ...

  AB +BC +CD = AD

  (3x+2) +(2x+4) +(3x-2) = 28

  8x +4 = 28 . . . . collect terms

  8x = 24 . . . . . . . subtract 4

  x = 3 . . . . . . . . . divide by 8

  BC = 2x+4 = 2(3) +4

  BC = 10

__

8) AB +BD = AC +CD

  (2x -14) +(-7 +3x) = (2x -3) +(9)

  5x -21 = 2x +6

  3x = 27

  x = 9

  BD = -7 +3x = -7 +3(9)

  BD = 20

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174

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2 years ago
The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

Answer: 2929 π  inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

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Now it comes from 12 to 33 o'clock=  1.45 hour so,

Tip of minute hand moves= 2020 π inch  x 1.45

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5 0
2 years ago
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e
Alona [7]

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

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Then the point has a linear speed of

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5 0
3 years ago
Can someone please help me!
Alina [70]

Answer:

84

Step-by-step explanation:

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8 0
3 years ago
Please answer also if you answer this one please answer my other one it basically the same
lianna [129]

Answer:

D is the correct answer.

Step-by-step explanation:

<em>Step 1: Write the data</em>

Total number of songs = 100

Total ratio = 1

Total percentage = 100%

Ratio of jazz songs = 1/4

Percentage of jazz songs = 1/4 x 100 = 25%

Ratio of pop songs = 1 - 1/4 = 3/4

Percentage of pop songs = 3/4 x 100 = 75%

<em>Step 2: Match the statement.</em>

The correct statement is D; 25% are Julian's songs are jazz because 1/4 = 25/100 and 75% are pop because 3/4 = 75/100.

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5 0
3 years ago
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