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Dmitry_Shevchenko [17]

3 years ago

9

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t

riangle

1 answer:

Lelechka [254]3 years ago

4 0

8cm and 8cm.

Espero que esta respuesta te ayude.

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Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated?

Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3. The length of the vertical segment of the triangle graphed is 2. Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3. This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1). This makes the horizontal segment 5 units long and the vertical segment 4 units long. This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 3. This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 4. This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0

3 years ago

What is the simplified form of the expression? HELP ASAP

galina1969 [7]

Answer:

$360$

Step-by-step explanation:

$\frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360$

6 0

2 years ago

Read 2 more answers

Solve for y in terms of x<br> 3(x – 7) + 7y = 10x

MAXImum [283]

Answer:

solve for y is y = x + 3

Solve for x is x = − 3 + y

Step-by-step explanation:

4 0

3 years ago

nikitadnepr [17]

Answer:

The value of x is $\frac{-2}{5}$ .

Step-by-step explanation:

Given expression is:

$\frac{2}{3}(x-2)=4x$

We have to solve this for x.

First we will multiply both sides of the equation by 3

$3*\frac{2}{3}(x-2)=4x*3$

2(x-2) = 12x

2x-4=12x

Now we will be subtracting 2x from both sides of the equation

2x-2x-4=12x-2x

-4=10x

10x=-4

Dividing both sides by 10

$\frac{10x}{10}=\frac{-4}{10}\\\\x=\frac{-2}{5}$

Hence,

The value of x is $\frac{-2}{5}$ .

8 0

3 years ago

Given f(x)=4x-6 and g(x)=8x+4 findthe value of x for which f(x)=g(x)

lana [24]

The value of "x" is $\frac{-5}{2}$

<em><u>Solution:</u></em>

Given f(x) = 4x - 6

g(x) = 8x + 4

<em><u>To find: value of x when f(x) = g(x)</u></em>

We can equate f(x) and g(x) as per given statement and solve for x

f(x) = g(x)

<em><u>Substituting the values of f(x) and g(x) in above expression,</u></em>

4x - 6 = 8x + 4

4x - 8x = 4 + 6

-4x = 10

On solving,

$x = \frac{10}{-4}\\\\x = \frac{-5}{2}$

Thus value of "x" is $\frac{-5}{2}$

4 0

3 years ago