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Lapatulllka [165]
3 years ago
15

Find x if: - B is between A & C; -AB = x + 5; -BC = 2(x-3); and -AB ~= BC

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

The value of x = 11

Step-by-step explanation:

Given

  • B is between A and C.
  • AB = x+5
  • BC = 2(x - 3)
  • {\displaystyle {\overline {AB} ≅ {\displaystyle {\overline {BC}

Determining the value of x

As B is between A and C, so

{\displaystyle {\overline {AB} ≅ {\displaystyle {\overline {BC}

as

  • AB = x+5
  • BC = 2(x - 3)

so

x + 5 = 2(x-3)

x+5 = 2x-6

2x-x = 5+6

x = 11

Therefore, the value of x = 11

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A 2-gallon container of window cleaner costs $13.20. What is the price per quart?
Salsk061 [2.6K]
Answer: 1.65

4 quarts are in one gallon
2gallons = 8 quarts

13.20/8= 1.65 :)
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3 0
2 years ago
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SUPER ULTRA MEGA IMPORTANT QUESTION!!!! IF YOU CAN ANSWER THIS CORRECTLY I WILL GIVE YOU 100 POINTS BUT IF YOU DON'T ANSWER IT C
Serggg [28]

Answer:

Angie=x

Susan = x+3

Rebecca = 3(x+3)

Total = 5x+12

If Angie has 4  then the  total is 32

Step-by-step explanation:

Angie has x games

Susan has 3 more games than Angie has

Susan = x+3

Rebecca has 3 times more games than Susan

Rebecca = 3Susan

We know Susan has x+3  so replacing it in

Rebecca  = 3 (x+3)

The total number of games is Angie + Susan + Rebecca

                                                  x      + x+3           +  3(x+3)

                Distributing the 3

                                                x + x+3    + 3x+9

               Combining like terms

                                              5x+12

The total number of games is

                                        5x+12


If Angie has 4 games, x=4

The total number of games is 5(x)+12

                                                  5*4+12

                                                   20+12

                                                   32



7 0
4 years ago
10÷(2x) when x= -5/4
Vladimir [108]

Answer:

-4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

10 ÷ (2x)

x = -5/4

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    10 ÷ (2(-5/4))
  2. Multiply:                               10 ÷ -5/2
  3. Divide:                                  -4
6 0
3 years ago
Read 2 more answers
What is the value of x
Crank

Answer:

Step-by-step explanation:

Looking at the diagram,

Line DT is parallel to line line BM, therefore, triangle DHT is similar to triangle BHM. This means that

DH/DB = TH/MH

DH = 15 + 6 = 21

TH = 9 + x

Therefore

(9 + x)/21 = 9/6

Cross multiplying, it becomes

6(9 + x) = 21 × 9 = 189

54 + 6x = 189

Subtracting 54 from the left hand side and the right hand side of the equation, it becomes

6x + 54 - 54 = 189 - 54

6x = 135

Dividing the left hand side and the right hand side of the equation by 6, it becomes

6x/6 = 135/6

x = 22.5

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Answer:

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4)d= 4.8 ft

5)e= 9.6 yd

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