All categories

1 year ago

Find X, AB, BC, AC if B is the midpoint of AC

Mathematics

1 answer:

Artemon [7]1 year ago

7 0

Step-by-step explanation:

it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.

this is the same as "cut a pizza or a cake in half".

therefore, we know

10x + 1 = 8x + 13

2x + 1 = 13

2x = 12

x = 6

AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61

BC = AB but to control : 8×6 + 13 = 48+13 = 61

correct.

AC = AB + BC = 61 + 61 = 122

You might be interested in

What is the likelihood that the children in square 2 will have earlobes that are not attached?

notka56 [123]

Answer : 2/4 children will have earlobes that are not attached

4 0

3 years ago

Solve the inequality and graph the solution. −0.8b + 2.3 ≥ 8.7

zlopas [31]

The solution of the inequality is -8 ≥ b, and the correct graph is the one in option D.

"number line with a closed circle plotted at negative eight and arrow pointing left."

<h3>How to solve the inequality?</h3>

Here we have the inequality:

-0.8*b + 2.3 ≥ 8.7

And we want to solve this, to do so, we need to isolate the variable b in one of the sides of the inequality.

-0.8*b + 2.3 ≥ 8.7

2.3 - 8.7 ≥ 0.8*b

-6.4 ≥ 0.8*b

-6.4/0.8 ≥ b

-8 ≥ b

So the solution is the set of all numbers equal to or smaller than -8, then the correct graph will be the one described by D.

Learn more about inequalities:

brainly.com/question/24372553

#SPJ1

5 0

1 year ago

Jose worked n hours at 8.75 dollars per hour he made a total of $61.25 write an expression that represents the total number of h

Nitella [24]

Answer:

n = P/8.75

Step-by-step explanation:

Jose’s pay (P) depends on the number (n) of hours he works.

P = 8.75n Divide both sides by 8.75

n = P/8.75

=====

P = $61.25

n = 61.25/8.75

n = 7 h

Jose worked for 7 h.

8 0

3 years ago

Is 0.35 grater than 300 mL

Sveta_85 [38]

Answer:

yes

Step-by-step explanation:

yes

6 0

2 years ago

the volume, v of a sphere is given by its radius, r, in the formula v=4/3(pi)(r^3) what is the formula for the radius given the

MrMuchimi

R=(3V4Home: Kyle's ConverterKyle's CalculatorsKyle's Conversion BlogVolume of a Sphere CalculatorReturn to List of Free CalculatorsSphere VolumeFor Finding Volume of a SphereResult:
523.599radius (r)unitsdecimals -3 -2 -1 0 1 2 3 4 5 6 7 8 9 A sphere with a radius of 5 units has a volume of 523.599 cubed units.This calculator and more easy to use calculators waiting at www.KylesCalculators.com Calculating the Volume of a Sphere:

Volume (denoted 'V') of a sphere with a known radius (denoted 'r') can be calculated using the formula below:

V = 4/3(PI*r3)

In plain english the volume of a sphere can be calculated by taking four-thirds of the product of radius (r) cubed and PI.

You can approximated PI using: 3.14159. If the number you are given for the radius does not have a lot of digits you may use a shorter approximation. If the radius you are given has a lot of digits then you may need to use a longer approximation.

Here is a step-by-step case that illustrates how to find the volume of a sphere with a radius of 5 meters. We'll u

π)⅓

4 0

3 years ago