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3 years ago

Explain the difference between complementary and supplementary angles.

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Answer:

Step-by-step explanation: Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees. One way to avoid mixing up these definitions is to note that s comes after c in the alphabet, and 180 is greater than 90.

Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary. But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180° .

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Using Postulates and/or Theorems, determine whether ABC~AXY.

Xelga [282]

Answer:

They are not similar

Step-by-step explanation:

To see whether the triangles are similar or not we can compare their side lengths:

AB = 24

AX = 6

AX/AB = 1/4 is the ratio now let's compare this to AY/AC

AY/AC = 10/25 if we simplify this the result will be 2/5 as we can see the side lengths are not proportional so the triangles are not similar.

4 0

3 years ago

Add. 5/6 + 2 3/4 in simplest form.

Deffense [45]

okay so you would first turn everything into fractions 2 3/4= 11/4 + 5/6

next you would change the denominators so they match 11/4 x 6 = 66/24

5/6 x 4 = 20/24

so then you would add 66/24 + 20/24 = 88/24 = 11/3

11/3 is your answer

hope this helps!

7 0

4 years ago

20 POIINNTSS FOR FAST ANSWERRRR

Anton [14]

Answer:

https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.826722.html

Step-by-step explanation:

go to this website, hope you understand it.

4 0

2 years ago

Read 2 more answers

6. Find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel

prisoha [69]

<h3>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</h3>

$y = \frac{5}{4}x + 13$

Solution:

Given that,

We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8

The equation of line in slope intercept form is given as:

y = mx + c

Where "m" is the slope of line

From given,

-5x + 4y = 8

Rearrange to slope intercept form

4y = 5x + 8

$y = \frac{5x}{4} + \frac{8}{4}\\\\y = \frac{5x}{4} + 2$

On comparing the above equation with slope intercept form,

$m = \frac{5}{4}$

We know that, slopes of parallel lines are equal

Therefore, slope of line parallel to the line -5x + 4y = 8 is:

$m = \frac{5}{4}$

$\text{Substitute } m = \frac{5}{4}\ and\ (x, y) = (-8, 3) \text{ in eqn 1}$

$3 = \frac{5}{4} \times -8 + c\\\\3 = -10 + c\\\\c = 13$

Substitute c = 13 and m = 5/4 in eqn 1

$y = \frac{5}{4}x + 13$

Thus the equation of line in slope intercept form is found

6 0

3 years ago

A tree is 3ft tall casts a shadow that is 2ft long . Find the length of the shadow that a 6ft tree casts?

Alex17521 [72]

Answer:

The length of the shadow is 4ft long.

Step-by-step explanation:

6ft divided by 3ft equals 2ft. Then, multiply 2ft by 2ft equals 4ft long.

6 0

4 years ago