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Viktor [21]
3 years ago
15

What similarity property, if any, can be used to show that the following two triangles are similar ?

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

A) SSS

Step-by-step explanation:

We have,

\frac{AC}{DF}=\frac{10}{15}=\frac{2}{3}\\\frac{AB}{DE}=\frac{12}{18}=\frac{2}{3}\\\frac{BC}{EF}=\frac{8}{12}=\frac{2}{3}\\\text{Thus,}\\\frac{AC}{DF}=\frac{AB}{DE}=\frac{BC}{EF}\\

Since the sides are in proportion, the two triangles are similar by the SSS test.

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The circumference of the bike tire above is 83.524 inches. What is the radius of the bike tire? (Use 3.14 for .) A. 262.27 in B.
Shtirlitz [24]

Answer:

Option <u>C. 13.3 in</u>.

Step-by-step explanation:

Here's the required formula to find the radius of the bike tire :

\longrightarrow{\pmb{\sf{C_{(Circle)} = 2\pi r}}}

  • C = circumference
  • π = 3.14
  • r = radius

Substituting all the given values in the formula to find the radius of the bike tire :

\begin{gathered} \qquad{\longrightarrow{\sf{C_{(Circle)} = 2\pi r}}} \\  \\ \qquad{\longrightarrow{\sf{83.524 = 2 \times 3.14 \times  r}}}  \\  \\ \qquad{\longrightarrow{\sf{83.524 = 6.28 \times  r}}} \\  \\ \qquad{\longrightarrow{\sf{83.524 = 6.28r}}} \\  \\  \qquad{\longrightarrow{\sf{r =  \frac{83.524}{6.28}}}} \\  \\ \qquad{\longrightarrow{\sf{r  =  13.3 \: in}}} \\  \\ \qquad  \star{\underline{\boxed{\sf{\red{r  = 13.3 \: in}}}}}\end{gathered}

Hence, the radius of bike tire is 13.3 inches.

\rule{300}{2.5}

6 0
2 years ago
Read 2 more answers
Please help me solve this
In-s [12.5K]

Step-by-step explanation:

Erase the dot points you already have. We are supposed to substitute those values in the right side of problem 1 into the function as x.

For example if x=-4

- ( - 4) + 5 = 9

If x=-2

- ( - 2) + 5 = 7

If x=0

0 + 5 = 5

- 2 + 5 =  3

- 4 + 5 = 1

So our point should be

-4,9

-2,7

0,5

-2,3

-4,1.

The range is all possible y values in a function. Since this is discrete and we are given the domain, our range will just be the y value of the points you graphed.

(9,7,5,3,1)

5 0
2 years ago
Match each compound inequality to the graph of its solutions on the number line.
jekas [21]
What are the Answer Choices?
3 0
2 years ago
Read 2 more answers
HELP ME OUT peps correct answers only
Elena L [17]

Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

<h3>What is the Subtraction Property of Equality?</h3>

In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.

To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.

If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.

The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

Learn more about subtraction property of equality on:

brainly.com/question/1601404

#SPJ1

6 0
2 years ago
A water dispenser has the capacity of 25,000 milliliters. What is the capacity in liters
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Since there are 1000 millilitres in 1 Liter. If we divide 25,000 by 1000 we get an answer of 25 Litres.

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3 years ago
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