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2 years ago

Geometry 1.4 - Segment Addition Postulate & Midpoint

Mathematics

1 answer:

Roman55 [17]2 years ago

4 0

Answer:

Step-by-step explanation:

AB + BC = AC

14 + 3x-4 = 4x+4

Combine like terms

10 +3x = 4x+4

Subtract 3x from each side

10+3x-3x = 4x+4-3x

10 = x+4

Subtract 4 from each side

10-4 =x-4+4

6 =x

We want AC

AC = 4x+4 = 4*6+4 = 24+4 = 28

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Find the other endpoint of the line segment with the given endpoint and midpoint.

Shtirlitz [24]

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is $(\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2} )$

So, let $(x_{2} , y_{2} )$ be the coordinates of the endpoint you are looking for.

$x_{1} = -9$ and $y_{1} = 7$

$(\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} )$ = (10, -3)

$\frac{-9 + x_{2} }{2} = 10$ $\frac{7 + y_{2} }{2} = -3$

-9 + $x_{2}$ = 20 7 + $y_{2} = -6$

$x_{2} = 29$ $y_{2} = -13$

endpoint is (29, -13)

6 0

2 years ago

Geometry question!!

Mademuasel [1]

Answer:

GQ=25 units

Step-by-step explanation:

we know that

Point Q is the midpoint of GH

GH=GQ+QH and GQ=QH

GH=2GQ -------> equation A

we have

GH=5x-5

GQ=2x+3

substitute in the equation A and solve for x

5x-5=2(2x+3)

5x-5=4x+6

5x-4x=6+5

x=11

Find the length of GQ

GQ=2x+3

substitute the value of x

GQ=2(11)+3

GQ=25 units

4 0

3 years ago

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Lapatulllka [165]

Answer:

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In the formula v = u + at, v is the subject.

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To make 'u' the subject of the formula in v = u + at,

To make 't' the subject of the formula, v = u + at, ...

The volume of a cuboid is the product of length and breadth of the cuboid.

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3 years ago

There are 16 kilometers in 10 miles, about how many kilometers are in five miles?

Pavlova-9 [17]

I believe it would be 8 km in five miles. I hope this helped ^^

7 0

3 years ago

Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What

NikAS [45]

Answer:

<em>Charlie owns 9,315 ft2 of the land area</em>

Step-by-step explanation:

There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.

Mabel owns 26% of the land area, that is:

26*34,500 ft2 / 100 = 8,970 ft2

Adeline owns 47% of the land area, or:

47*34,500 ft2 / 100 = 16,215 ft2

The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2

Since the total area land is 34,500 ft2, Charlie owns:

34,500 ft2 - 25,185 ft2 = 9,315 ft2

Charlie owns 9,315 ft2 of the land area

4 0

2 years ago