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Maru [420]
3 years ago
5

If B is the midpoint of AC, and AC=8x-20. Find BC AB=3x-1 Show all work

Mathematics
2 answers:
exis [7]3 years ago
6 0
First we know that:
AB+BC=AC
now , since B is the midpoint of AC, this means that AB=BC
therefore,
AB+BC=AC can also be written as
AB+AB=AC
3x-1+3x-1=8x-20
6x-2=8x-20
-2+20=8x-6x
18=2x
x=9

therefore:
AB=3(9)-1=27-1=26
AC=8(9)-20=52
BC=AB=26
lesantik [10]3 years ago
4 0

Answer:

BC=26

Step-by-step explanation:

we know that

AC=AB+BC -----> equation A

In this problem

B is the midpoint of AC

so

AB=BC ------> equation B

substitute equation B in equation A

AC=AB+AB ------> AC=2AB ------> equation C

we have

AC=8x-20

AB=3x-1

substitute the values in equation C and solve for x

8x-20=2(3x-1)

8x-20=6x-2

8x-6x=20-2

2x=18

x=9

Find AB

AB=3x-1=3(9)-1=26

Remember that

AB=BC

therefore

BC=26

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On a coordinate plane, a line has a negative slope

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3. A table has a length of 3.4 meters and a width of 1.5 meters. Mang Jose painted the to portion approximately 3.75 m². What wa
sergij07 [2.7K]

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#3

<u>What was the area left unpainted?</u>

  • 3.4*1.5 - 3.75 = 1.35 m²

Option D

#4

<u>How big is Ben's share?</u>

  • 998.50 - 18.6² = 652.54 m²

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<u>The area of a circular pool whose radius is 2 m:</u>

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What is the slope of the line that contains the pionts (2,3) (2,-4)​
Free_Kalibri [48]

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Step-by-step explanation:

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6 0
3 years ago
Select the polynomial that is a perfect square trinomial. 9x2 9x 1 36b2 − 24b 8 16x2 24x 9 4a2 − 10a 25.
alexgriva [62]

The polynomial that is a perfect square is 16x^2 + 24x +9. Option C shows the polynomial which is a perfect square.

<h3>What is square?</h3>

The square can be defined as a two-dimensional figure that has 4 equal sides.

Given are the equations of the areas of the polynomial.

Option C: 16 x^2 + 24x +9

We can write the above equation as,

(4x)^2 + 2 \times 4x \times 3 + (3)^2

(a+b)^2 = a^2 + 2ab+b^2

Here a = 4x  and b = 3, so

16x^2 + 24x+9 = (4x+3)^2

The simplification of the area of a polynomial is (4x+3)^2 which represents the area of a square.

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5 0
2 years ago
Hey I neee help with this I don’t understand for number 1 it’s w=? For number 2 it’s w=75 and for number 3 it’s w=26. Pls I need
mel-nik [20]

Answer:

<em>1. W = 50 ft</em>

<em>2. L = 110 m</em>

<em>3. L = 61 m</em>

Step-by-step explanation:

<u>Area of a Rectangle</u>

Given a rectangle of width W and length L, its area is calculated by the formula:

A = W.L

We are given three rectangle-shaped figures and are required to find different measures as explained below.

1. Length L=94 ft, Area = 4,700 square ft

We'll find the width by solving for W:

\displaystyle W = \frac{A}{L}

\displaystyle W = \frac{4,700}{94}

W = 50 ft

2. A=8,250 square m, W=75 m

We'll find the length by solving for L:

\displaystyle L = \frac{A}{W}

\displaystyle L = \frac{8,250}{75}

L = 110 m

3. A=1,586 square m, W=26 m

We'll find the length by solving for L:

\displaystyle L = \frac{A}{W}

\displaystyle L = \frac{1,586}{26}

L = 61 m

5 0
3 years ago
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