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den301095 [7]
3 years ago
9

Find its x-coordinate.

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

2.5

Step-by-step explanation:

The formula to find the midpoint of a line segment: (\frac{1}{2}x_{1} + \frac{1}{2}x_{2}, \frac{1}{2}y_{1} + \frac{1}{2}y_{2})

<u><em>Where:</em></u>

x_{1} = -5\\x_{2} = 10\\y_{1} = 9\\y_{2} = 8

1) Substitute the values into the midpoint formula.

(\frac{1}{2}*-5 + \frac{1}{2}*10, \frac{1}{2}*9 + \frac{1}{2}*8)

2) Solve it.

= (-2.5 + 5, 4.5 + 4)

= (2.5, 8.5)

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Find the value of x that makes Triangle DEF~ triangle XYZ.
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Answer:

x = 4

Step-by-step explanation:

DE / XY = EF / YZ

5 / 10 = 2x-1 / 14

cross-multiply:

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3 years ago
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Answer:

Brandon

Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball 75 times for  550 yards, and Pete has 42 carries for 380 yards.

TO FIND: Who runs farther per carry.

SOLUTION:

Total yards traveled by Brandon =550\text{yards}

No. of times ball carried by Brandon =75\text{ times}

Average yards per carry for Brandon =\frac{\text{total yards traveled}}{\text{number of times ball carried}}

                                                              =\frac{550}{75}

                                                              =\frac{22}{3}\text{ yards per carry}

                                                              =7.33\text{ yards per carry}

Total yards traveled by Pete =380\text{ yards}

No. of times ball carried by Pete =42\text{ times}

Average yards per carry for Pete =\frac{\text{total yards traveled}}{\text{number of times ball carried}}

                                                       =\frac{380}{42}

                                                       ≅ 9\text{ yards per carry}

As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.

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