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aleksandrvk [35]
3 years ago
10

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

Mathematics
2 answers:
Rom4ik [11]3 years ago
4 0

Answer:

24 units is right i took the test

Step-by-step explanation:

Sladkaya [172]3 years ago
3 0

Answer:

24 units

Step-by-step explanation:

From the description:

  • angle D measures a degrees
  • opposite to angle D is side EF
  • side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

sin(a) = 4/5

From definition:

sin(a) = opposite/hypotenuse

Replacing:

4/5 = EF/DE

EF = (4/5)*DE

EF = (4/5)*30 = 24 units

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Iteru [2.4K]

Answer:

5x3-6x2-4x+7...(a)

Step-by-step explanation:

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1. Write the equation of the line parallel to y = 7x – 5 and going through the point (4,31).
densk [106]

Answer:

y=7x+3

Step-by-step explanation:

Hi there!

We are given the equation y=7x-5 and we want to find the equation of the line that is parallel to it, and contains the point (4,31)

First, let's find the slope of y=7x-5, since parallel lines have the same slopes

The line y=7x-5 is written slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since 7 is in the place of where m is, the slope of the line is 7

It's also the slope of the line parallel to it.

We can substitute 7 as m into the formula y=mx+b for our new line:

y=7x+b

Now we need to find b

Since the equation will pass through the point (4, 31), we can use it to solve for b; substitute 31 as y and 4 as x

31=7(4)+b

Multiply

31=28+b

Subtract 28 from both sides

3=b

Substitute 3 as b

y=7x+3

Hope this helps!

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