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Murljashka [212]
3 years ago
14

If AB = 10, BD = 5, and DE= 12, what is the length of BC?

Mathematics
1 answer:
FrozenT [24]3 years ago
4 0

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

<u>Data</u>

  • AB = 10
  • BD = 5
  • DE= 12
  • Then, AD = 10-5 = 5

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

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Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

  • x₁= -2
  • y₁= -1
  • x₂= 3
  • y₂= 2

Substitute the values into the formula.

d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

6 0
3 years ago
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Steven, a tailor, got an order to make a blazer. The customer specifically asked him to save 5⁄6 of a foot of the given cloth to
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\frac{5}{6} - \frac{5}{12}

Since the fractions don't have the same denominator, we have to find the least common denominator.  Luckily, since 6 goes into 12 twice, we can convert \frac{5}{6} into \frac{10}{12}:

\frac{5}{6}( \frac{2}{2}) - \frac{5}{12} = \frac{10}{12} - \frac{5}{12}

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3 years ago
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jek_recluse [69]

Answer: -1 1/2 to -1: -1 1/3 and -5/4

-1 to -1/2: -2/3, -3/4, -6/7, -5/6

-1/2 to 0: -1/3 and -3/8

0 to 1/2: 1/5, 1/10, 3/12, 3/8, 3/7, 1/3

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Step-by-step explanation:

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