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Travka [436]
3 years ago
5

Solve for x x= ?? Hlp pls

Mathematics
2 answers:
zloy xaker [14]3 years ago
7 0

Answer:

x = 2.2

Step-by-step explanation:

From the figure, we see that

Δ ABC

is similar to

Δ ADE

So we can say that the corresponding sides are proportional (ratio is equal).

From the similarity statement, we can say:

AB corresponds to AD

BC corresponds to DE

AB = 10

AD = 10 + 1 = 11

BC = 2

DE = x

Now, we can write ratios and solve:

\frac{AB}{BC}=\frac{AD}{DE}\\\frac{10}{2}=\frac{11}{x}\\10x=2*11\\10x=22\\x=\frac{22}{10}\\x=2.2

The value of x is 2.2

Helga [31]3 years ago
6 0

Answer:

x = 2.2

Step-by-step explanation:

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Answer:

\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
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Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle V_P = 2x^3 - 6x^2 + 8x<em />

<em />\displaystyle V_C = 27x^3<em />

<em />

<u>Step 2: Find Combined Volume</u>

  1. [Set up] Add:                                                                                                     \displaystyle V_P + V_C = V_{P + C}
  2. Substitute in variables:                                                                                    \displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x
  3. Combine like terms:                                                                                        \displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x
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