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Ahat [919]
2 years ago
7

Construct an accurate copy of triangle DEF. Check that EF = 4.6 cm. ​

Mathematics
1 answer:
garri49 [273]2 years ago
7 0

Answer:

Angles on a straight line add up to 180°

Therefore, the interior angle D of the triangle = 180 - 150 = 30°

Draw a horizontal line of 8 cm - label DE.

Measure an angle of 30° from point D and draw a line.

Measure an angle of 90° from point E and draw a line.

These 2 lines will intersect at point F.

Erase the part of the lines that extend past the point of intersection.

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What does x equal in y=|x| when y=-3
Simora [160]
Replace all the variables that we know the value for.

-3 = |x|

Make to equations from this one.

-3 = x and -3 = -(x)

Solve the first one.

-3 = x
x = -3 <-- Switch it around

-3 = -(x)
-(x) = -3 <-- Switch it around
x = 3 <-- Divide both sides by -1

So, there are two possible answers, -3 and 3.
4 0
3 years ago
What are the vertices of A'B'C if ABC is dilated by a scale factor of 2?
malfutka [58]

The vertices of A'B'C' if A(0, 10), B(8, 6), C(4, 2) is dilated by a scale factor of 2 are;

  • C. A'(0, 20), B'(16, 12), C'(8, 4)

<h3>Which method can be used to find the vertices of A'B'C'?</h3>

Given that triangle ABC is dilated by a scale factor of 2, we have;

A'B' = 2 × AB

A'C' = 2 × AC

B'C' = 2 × BC

Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5

Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5

Length of BC = √((8-4)^2 + (6-2)^2) = 4•√2

By multiplying the given coordinates by the scale factor, we have;

A' = 2 × (0, 10) = (0, 20)

B' = 2 × (8, 6) = (16, 12)

C' = 2 × (4, 2) = (8, 4)

A'B' = √((16-0)^2 + (12-20)^2) = 8•√5

A'C' = √((8-0)^2 + (4-20)^2) = 8•√5

B'C' = √((16-8)^2 + (12-4)^2) = 8•√2

Therefore when we have;

A'(0, 20), B'(16, 12), C'(8, 4), we get;

  • A'B' = 2 × AB
  1. A'C' = 2 × AC
  2. B'C' = 2 × BC

The correct option is therefore;

  • C. A'(0, 20), B'(16, 12), C'(8, 4)

Learn more about finding the distance between points on the coordinate plane here:

brainly.com/question/7243416

#SPJ1

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Two separate single-factor anovas provide exactly the same information that is obtained from a two-factor analysis of variance.
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Algebra question please helppp
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Step-by-step explanation:

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