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Ira Lisetskai [31]
2 years ago
15

Find the value of x. (Picture attached.)

Mathematics
1 answer:
Svet_ta [14]2 years ago
5 0

Here, triangle AEN and ALG are similar.


We know that the ratio of corresponding sides of two similar triangles are equal. So,

\frac{21}{42} =\frac{2x-9}{(2x-9)+(x+7)}\\\\\frac{1}{2} =\frac{2x-9}{3x-2}\\\\ 3x-2=4x-18\\\\-2+18=4x-3x\\\\16=x\\\\x=16\\

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Find the function G defined by G(x) =5x+3 find G(-1)
Nostrana [21]

Answer:

G(-1) = -2

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

<u>Algebra I</u>

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

G(x) = 5x + 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function G(x)]:                                                                         G(-1) = 5(-1) + 3
  2. Multiply:                                                                                                             G(-1) = -5 + 3
  3. Add:                                                                                                                   G(-1) = -2
7 0
3 years ago
Read 2 more answers
What is the unit rate of change of 8 units in d with respect to 3 units in t
sertanlavr [38]

Answer:

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
5^2 + [15-4(3 1/5)] -15.4<br> And you have to show your work Bc the dang teacher is strict
kotykmax [81]

Answer:

I think the answer is 11.8

Step-by-step explanation:

25+ [ 15- 4 x 16/5] - 15.4

25 +[ 15- 4/1 x 16/5] - 15.4

25+ [ 15 - 20/5 x 16/5] - 15.4

25 +[ 15 -  64/5] - 15.4

25+ [ 15/1 - 64/5] - 15.4

25+ [75/5 - 64/5] - 15.4

25+ 11/5 - 15.4

25+ 2.2 - 15.4

27.2 - 15.4

11.8

4 0
3 years ago
What is the solution of (8x-8)^3/2=64<br>Edit; the answer is x=3
Talja [164]

I guess since you have the correct answer there that you need to know how to get it. Start by rewriting that exponent as a radical. It would look like this: \sqrt{(8x-8)^3}=64. The first step is to undo that square root by squaring both sides. That will give you this: (8x-8)^3=4096. Next we have to undo that cubing by taking the cubed root of both sides, leaving us with this: 8x-8=16. We add 8 to both sides to get 8x = 24 and x = 3.

6 0
3 years ago
The straight line L has equation y = 2x - 5
Aleksandr-060686 [28]

Answer:

slope of perpendicular line - m = -1/2

passing through (-2,3)

thus,

y-3 = -1/2 (x+2)

or y = -1/2x +2

7 0
3 years ago
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