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Umnica [9.8K]
3 years ago
10

Complete the following sentence:Trianlge ACB is similar to __ ____________

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Answer:

Triangle ACB is similar to Triangle DEF by SAS Similarity Theorem

see the explanation

Step-by-step explanation:

we know that

The <u>SAS Similarity Theorem</u>, states that: If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, then the triangles are similar.

In this problem

Angle B and Angle F are congruent

∠B≅∠F

The corresponding sides are

BC and FE

and

AB and DF

Verify if the ratios are proportional

\frac{BC}{FE}=\frac{AB}{DF}

substitute the given values

\frac{24}{16}=\frac{12}{8}

1.5=1.5 -----> is true

therefore

Triangles ACB and DEF are similar by SAS Similarity Theorem

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Help<br> Find the volume of this cone.<br> Use 3 for TT.
natima [27]

Answer:

180ft^{3}

Step-by-step explanation:

Volume of a cone:

V=\pi r^{2} \frac{h}{3}

Take \pi as 3, as mentioned in the question

'r' is 'radius' ⇒ {diameter is given so divide by 2: 12/2 = 6}

'h' is 'height'

V=(3)(6)^{2} (\frac{5}{3} )

V=(3)(36)(\frac{5}{3} )

V=108(\frac{5}{3} )

{multiply 108 with 5 and then divide the answer by 3}

V=108 × 5

V=540

V=540/3

V=180ft^{3}

3 0
3 years ago
Read 2 more answers
Needed help with this question!
In-s [12.5K]
A) is 2x
b) is x^{3}
c) is -2x

I think these are correct.
log_{10}1000^{x] = log_{10}10^{2x}=2x
I did similar things to get other answers
1000^{log_{10}x} = 10^{3log_{10}x}=10^{log_{10}x^{3}}=x^{3}
5 0
3 years ago
A $50 watch was marked up to $60. What is the markup rate? Is it an increase or decrease?
makvit [3.9K]

It's increasing cause it's going higher if it's decreasing it's going lower

3 0
3 years ago
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Cual es el resultado de truncar a milésimos (3 decimales) 2/7 cuando lo convertimos a número decimal
Whitepunk [10]

The value of 2/7 expressed as a truncated decimal to the nearest thousandth is 0.286

Rational numbers are numbers written as the ratio of two integers. For example, the fraction 2/7 given is a rational number.

Expressing 2/7 as a decimal number will give;

2/7 = 0.2857142... (It gave repeated decimal values)

Truncating the repeating decimal to the nearest thousandth means writing the decimal to 3 decimal places

0.2857142 = 0.286 (to the nearest thousandth)

Hence the value of 2/7 expressed as a truncated decimal to the nearest thousandth is 0.286

Learn more here: brainly.com/question/24643812

4 0
3 years ago
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what are two decimals with thousandths that would give 0.2 when rounded to the nearest tenth and 0.20 when rounded to the neares
egoroff_w [7]
Ur answer it 0.04 bc u would take the 0.2•0.20=0.04
3 0
3 years ago
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