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3 years ago

Why are alternate exterior angles congruent?

Mathematics

1 answer:

zmey [24]3 years ago

4 0

Answer:

because they have straight lines and they are regular

Step-by-step explanation:

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Describe and correct the error in writing an equation of the line shown

Rudiy27

Answer:

$y = -\frac{3}{5}x+4$

Step-by-step explanation:

Given:

$(x_1,y_1) = (0,4)$

$(x_2,y_2) = (5,1)$

The attachment completes the question

From the attachment, the slope of the line was calculated as:

$m = \frac{1-4}{0-5}$

This step is inaccurate because the slope of a line is calculated using

$m = \frac{y_2-y_1}{x_2-x_1}$

Which gives

$m = \frac{1-4}{5-0}$

$m = \frac{-3}{5}$

$m = -\frac{3}{5}$

The line equation is then calculated using:

$y -y_1 = m(x - x_1)$

Substitute values for m, x1 and y1

$y - 4 = -\frac{3}{5}(x - 0)$

$y - 4 = -\frac{3}{5}(x)$

Open bracket

$y - 4 = -\frac{3}{5}x$

Make y the subject

$y = -\frac{3}{5}x+4$

6 0

3 years ago

What is the length of the hypotenuse of the triangle?

atroni [7]

Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

$h = \sqrt{ {p}^{2} + {b}^{2} }$

Put all values.

$h = \sqrt{ {24}^{2} + {10}^{2} }$

Simplify it.

$h = \sqrt{576 + 100}$

$h = \sqrt{676}$

Therefore, h= 26ft.

ANS: OPTION A.

Hope it helps....

3 0

3 years ago

Read 2 more answers

Find the base and height of a rectangle with vertices (-4,7), (-2,7), (-2,1), and (-4,1).

Salsk061 [2.6K]

Answer:

The height is 6 unit

The base is 2 units.

Step-by-step explanation:The given rectangle has vertices (–4, 7), (–2, 7), (–2, 1), and (–4, 1).

3 0

3 years ago

4n/5=84/15 i cannot figure out this math problem for my homework!

Vinil7 [7]

Okay so instead of dividing you will cross multiply.
4n(15)=84(5)
60n=420
420/60=7
Answer: n=7

4 0

3 years ago

Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwis

nikdorinn [45]

There are 2 chances out of 6 to win $3

Every 6 rolls you are expected to win $6

Every 3 rolls you are expected to win $3.

On average, even though it's impossible, every roll you would make $1.

6 0

3 years ago