All categories

3 years ago

Use the figure to write the segment addition postulate, write an equation and solve for x.

Mathematics

1 answer:

Alenkinab [10]3 years ago

4 0

Answer:

5. x = -1

6. x = 2

Step-by-step explanation:

5. AB = 5

BC = 2x + 6

AC = x + 10

AB + BC = AC (segment addition postulate)

5 + 2x + 6 = x + 10 (substitution)

Collect like terms

5 + 6 + 2x = x + 10

11 + 2x = x + 10

2x - x = - 11 + 10

x = -1

6. AB = 9x + 7

BC = -3x + 20

AC = 39

AB + BC = AC (segment addition postulate)

(9x + 7) + (-3x + 20) = 39 (substitution)

Solve for x

9x + 7 - 3x + 20 = 39

Collect like terms

9x - 3x + 7 + 20 = 39

6x + 27 = 39

Subtract 27 from both sides

6x + 27 - 27 = 39 - 27

6x = 12

Divided both sides by 6

6x/6 = 12/6

x = 2

You might be interested in

3.3x10^-3 in standard notation

const2013 [10]

First you do the exponents so 10^-3 is:

1/10^3 (change it so it is not a negative exponent, so make it its reciprocal)

1/(10*10*10) = 1/1000 = 0.001

4 0

3 years ago

19. A cross section of a water trough is in the shape of trapezoid with bases measuring 4 m and 12 m. what is the length of the

ludmilkaskok [199]

Given:

The bases of trapezoid measuring 4 m and 12 m.

To find:

The median of the trapezoid.

Solution:

The median of the trapezoid is the average of its bases.

$\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}$

The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:

$\text{Median}=\dfrac{4+12}{2}$

$\text{Median}=\dfrac{16}{2}$

$\text{Median}=8$

Therefore, the correct option is C.

5 0

3 years ago

What is a theoretical temperature at which the motion of all atoms and molecules stops; the coldest possible temperature? *

svetoff [14.1K]

B is the answer
Mark as brainlessness

5 0

3 years ago

Seven subtracted from the quotient of a number and 2 is -6

Pachacha [2.7K]

N/2 -7 = -6

add 7 to both sides;
n/2 -7+7 = -6+7

n/2 = 1
multiply both sides by 2 ( or divide by 1/2 ) in order to get n by itself.

n/2 * 2/1 = 1 * 2/1

n = 2

5 0

2 years ago

Read 2 more answers

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie

svetlana [45]

Answer:

radius = 5 in

Step-by-step explanation:

Using the formula for calculating the area (A) of a circle

A = πr² ( r is the radius )

here A = 78.5, hence

3.14r² = 78.5 ( divide both sides by 3.14 )