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3 years ago

Are the triangles similar? If they are write a similarity statement and give the scale factor.

Mathematics

1 answer:

uranmaximum [27]3 years ago

3 0

SAS stands for "side, angle, side" and means that we have two triangles where:

- the ratio between two sides is the same as the ratio between another two sides

- the angles betweet this sides are equal.

We have m∠U = m∠ R.

The ratio:

$12:18=\dfrac{12}{18}=\dfrac{12:6}{18:6}=\dfrac{2}{3}\\\\10:15=\dfrac{10}{15}=\dfrac{10:5}{15:5}=\dfrac{2}{3}$

<h3>Answer: The triangles are similar.</h3>

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Given the equation 2(3x − 4) = 5x + 6, solve for the variable. Explain each step and justify your process.

blagie [28]

2(3x-4) = 5x+6
First, expand the bracket.
6x-8=5x+6
Next, move the variables to the same side.
x-8=6
Move the -8 to the other side, change to +
x=6+8
x=14
Charlie’s solution is incorrect. When expanding the bracket, he changed the - to a +.

6 0

2 years ago

If a baseball player get a hit in 31% of his at-bats, what is the probability that he will

solong [7]

Given:

A baseball player get a hit in 31% of his at-bats.

To find:

The probability that he will get a hit 5 at-bats in a row.

Solution:

Since, a baseball player get a hit in 31% of his at-bats, therefore

Probability that he get a hit = $\dfrac{31}{100}$

= $0.31$

Now, the probability that he will get a hit 5 at-bats in a row is

$P=0.31\times 0.31\times 0.31\times 0.31\times 0.31$

$P=(0.31)^5$

$P=0.0028629151
$

Therefore, the required probability is $(0.31)^5$ and it can be written as 0.0028629151 .

3 0

3 years ago

A cube can be unfolded into the net shown below. Find the total

melisa1 [442]

Answer:

23.9 mm

Step-by-step explanation:

A cube can be unfolded into the net shown below. Find the total

surface area of the cube.

23.9 mm

7 0

3 years ago

Whats the sign of 23/45+(-23/45)

Ierofanga [76]

Answer:

it’s +

and it equals 46/45

Step-by-step explanation:

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4 years ago

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Train A travels 30 miles in 20 minutes at a constant speed. Train B travels 20 miles in 15 minutes at a constant speed. Redo Whi

krek1111 [17]

$\begin{gathered} \text{Train A}\Rightarrow\frac{30\text{ miles}}{20\text{ minute}}=1.5\text{ miles/minute} \\ \text{ Train B}\Rightarrow\frac{20\text{ miles}}{15\text{ minute}}=1.34\text{ miles/minute} \\ \text{The train A is going faster.} \end{gathered}$

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1 year ago