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IgorLugansk [536]
3 years ago
8

What is the value of x? Please show the steps

Mathematics
1 answer:
nordsb [41]3 years ago
6 0
Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have

\dfrac{2x-1}{3x}=\dfrac9{15}

(This is the same equation that you have, it's just rearranged.)

Multiply both sides by 3x and 15.

15\times3x\times\dfrac{2x-1}{3x}=15\times3x\times\dfrac9{15}
15(2x-1)=3x\times9

Now you can solve for x.

30x-15=27x
3x=15
x=5
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Y = 4x – 18<br> y = -5x +9
adelina 88 [10]

Answer:

(3, -6)

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 4x - 18

y = -5x + 9

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                           4x - 18 = -5x + 9
  2. [Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9
  3. [Addition Property of Equality] Add 18 on both sides:                                   9x = 27
  4. [Division Property of Equality] Divide 9 on both sides:                                  x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [1st Equation]:                                                                           y = 4(3) - 18
  2. Multiply:                                                                                                             y = 12 - 18
  3. Subtract:                                                                                                            y = -6
5 0
2 years ago
Read 2 more answers
Katie uses 2/3 of a cup of ice cream for each ice cream sundae that she makes.for a party she makes 5 sundaes. write a multiplic
Blababa [14]
2/3 x 5/1 equals 10/3 
4 0
3 years ago
Read 2 more answers
Scale each ratio or rate up or down to determine the unknown term
balu736 [363]
D) 1•x=5, 1•5=5 8•5=40, the answer is 40/5 CDs

E) 3/3=1, 26.25/3= 8.75. The answer is 1/8.75

F) 10/10=1, 120/10= 12. The answer is 1/12

G) 2•x=12, 2•6=12, 120•6= 720. The answer is 12/720

Hopefully this helped
5 0
2 years ago
Ill mark brainliest pl pls help me
blondinia [14]

Answer:

1. e

2. c

Step-by-step explanation:

1. e. table

The question displays a table that organizes the data

2. c

When you compare the x and y values of a relationship, in this case the b and t variables, you use a ratio.

8 0
2 years ago
Write the equation of the line that passes through (-1, 11) and (3, -5)
Genrish500 [490]

Answer:

y= -4x+7

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line first.

gradient =  \frac{y1 - y2}{x1 - x2}

Using the above formula,

m =  \frac{11 - ( - 5)}{ - 1 - 3}  \\ m =  \frac{11 + 5}{ - 4}  \\ m =  \frac{16}{ - 4}  \\ m =  - 4

Susbt. m= -4 into the equation:

y= -4x +c

Subst. a coordinate to find c.

When x=3, y= -5,

-5= -4(3) +c

-5= -12 +c

c= 12 -5

c=7

Thus the equation of the line is y= -4x +7.

8 0
3 years ago
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