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Citrus2011 [14]
3 years ago
12

Find the value of x in the triangle shown below. 13 5 X

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

A. x = 12

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>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing side.

<u>Step 2: Identify Conversions</u>

Leg <em>a</em> = <em>x</em>

Leg <em>b</em> = 5

Hypotenuse <em>c</em> = 13

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

  1. Substitute:                    x² + 5² = 13²
  2. Isolate <em>x</em> term:              x² = 13²- 5²
  3. Exponents:                   x² = 169 - 25
  4. Subtract:                       x² = 144
  5. Isolate <em>x</em>:                       x = 12
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Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
Mrac [35]

Since molly's solution tally's with the given solution, hence <em>Molly's solution is correct.</em>

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​

This partial product can also be solved as shown below:

93 \times 51 = (90+3)\times (50+1)

Applying the distributive law:

93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743

Since molly's solution tally's with the given solution, hence <em>Molly solution is correct.</em>

Learn more about partial product at: brainly.com/question/24716925

5 0
3 years ago
4(a + 2) = 14 – 2(3 – 2a)<br><br> –2<br><br><br> –1<br><br><br> no solution<br><br> all real numbers
Ray Of Light [21]

All real numbers.

\boxed{TRUE}

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

Expand: 4(a+2)=4a+8

Expand again: 14-2(3-2a)=4a+8

4a+8=4a+8

You subtract by 8 from both sides of an equation.

4a+8-8=4a+8-8

Simplify.

4a=4a

Then, subtract by 4a from both sides of an equation.

4a-4a=4a-4a

Finally, simplify.

4a-4a=0

0=0

True

All real numbers is the final answer.

Hope this helps you!

Have a nice day! :)

4 0
3 years ago
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4 years ago
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Answer:

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7 0
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