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Semmy [17]
3 years ago
12

How to do proportional triangles

Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer: If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

Step-by-step explanation:

You might be interested in
A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the
BigorU [14]

Answer:

A

Step-by-step explanation:

The complete question is as follows:

" A study reports that 75 percent of young adults in a county get their news from online sources. A sociologist believes that the percentage is actually greater than 75 percent. The sociologist will select a random sample of young adults from around the county to interview. Which of the following is the most appropriate method for investigating the sociologist’s belief? "

Options:-

A one-sample zz-test for a difference in population proportions

A one-sample zz-test for a sample proportion

A one-sample zz-test for a population proportion

A two-sample zz-test for a difference in population proportions

A two-sample zz-test for a difference in sample proportions

Solution:-

- First we need to determine how many samples are to be taken. Since we have the same population for young adults for a both null and alternate hypothesis there is no need of " two -sample test". So one - sample test is sufficient to make a conclusion.

- Next to test the claim of sociologist we need to understand the nature of claim itself. The claim made is not "definitive" or in other words doe not points the exact value of the proportion but rather makes a "comparative" claim that is larger than what the report states.

- The second and third options both test definitive claims while option A tests the comparison ( difference ) in population proportion.

7 0
4 years ago
What are the solutions of x^2 - 2x + 10 = 0?<br><br> ​
dybincka [34]

Answer:

C. x = 1 + 3i or x = 1 - 3i

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>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

<u>Algebra II</u>

  • Imaginary Roots: √-1 = i

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 2x + 10 = 0

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

a = 1

b = -2

c = 10

<u>Step 3: Find roots</u>

  1. Substitute [Quad Formula]:                    x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}
  2. Exponents:                                              x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}
  3. Multiply:                                                   x=\frac{2\pm\sqrt{4-40} }{2}
  4. Subtract:                                                  x=\frac{2\pm\sqrt{-36} }{2}
  5. Factor:                                                     x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}
  6. Simplify:                                                   x=\frac{2\pm6i }{2}
  7. Factor:                                                     x=\frac{2(1\pm3i) }{2}
  8. Divide:                                                     x=1\pm3i
5 0
3 years ago
A circle has a radius of 5.5 inches. Give an exact answer for for area in terms of pi. Find a approximate area using pi= 3.14.
Arisa [49]

Answer:

94.985

Step-by-step explanation:

The equation for the area of pie is A = pie r squared, so all you have to do is go 3.14 times 5.5 squared which is 94.985

5 0
3 years ago
Read 2 more answers
Please no link! need question answered as soon as possible
ira [324]

\huge\bold{Given :}

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

\huge\bold{To\:find :}

The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

We know that,

\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = \frac{112° }{2}

➪ x° = 56°

\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}

\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆

3 0
3 years ago
Use the image below to answer the following question:
nikdorinn [45]

Answer:

The ratios are both identical. (4 over 5 and 4 over 5)

Step-by-step explanation:

Th picture below represent the image you are referring.

sin x = opposite / hypotenuse

opposite side = 4

hypotenuse = 5

sin x° = 4/5

cos y° = adjacent/hypotenuse

adjacent = 4

hypotenuse = 5

cos y° = 4/5

The ratios are both identical (4 over 5 and 4 over 5)

6 0
3 years ago
Read 2 more answers
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