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blondinia [14]
2 years ago
13

One supplementary angle is 15 degrees less than twice the other. Find the measure of the two supplementary angles.

Mathematics
1 answer:
o-na [289]2 years ago
5 0

Hey there!

To find our answer, we need to set up a <u><em>system of equations. </em></u>Remember, <u><em>supplementary angles</em></u> equal 180 degrees when combined. We will call one of our angles A and the other one B. Let's set it up below! :)

A=2B-15 (one angle is 15 degrees less than twice the other)

A+B=180

We need to find one of our variables. To do this, we only put one variable in the equation. But how, there are two variables in both equations! Well, as you can see, we see the A is equal to 2B-15, so we can take 2B-15 and put it into the second equation in place of A because it is equal to A, and then we will only have Bs and we can solve for it. This method is known as solving systems of equations with <u><em>substitution.</em></u>

Let's solve with substitution!

2B-15+B=180

3B-15=180              We combine our Bs.

3B=195              We add 15 to both sides.

B= 65                We divide both sides by three.

Now, we need to find what A is, but this will be really easy to do! If you remember, our angles are supplementary, so when you combine them, we will get 180, as you can see in our second equation in our first system of equations. So, we simply subtract 65 from 180.

180-65=115

Our two angles are 65° and 115°.

We can also check this with the original problem.

If you double 65, we have 130. Then, if we subtract 15, we have 115. Systems of equations are a pretty awesome way to figure this out!

I hope this helps! Have a great day!

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kupik [55]
Using inductive reasoning, the best answer from the given shapes is:
B) In a parallelogram, consecutive angles are supplementary.
7 0
3 years ago
The base of a triangle exceeds the height by 3 cm if the area is 170 cm² what is the length of the base and the height of the tr
Strike441 [17]

Hey there!!

How do we find the area of a triangle?

Ans - Formula = ( 1 / 2 ) ( base ) ( height )

In the question, it states the base exceeds the height by 3 cm

Let's take the height as ' x '

The, the base of the triangle would be ' x + 3 '

It's area = 170 cm²

Let' get this into an equation :

( 1/2 ) ( x ) ( x + 3 ) = 170

... ( x / 2 ) ( x + 3 ) = 170

... ( x² + 3x / 2 ) = 170

Multiplying by 2 on both sides

... x² + 3x = 340

Subtract 340 on both sides

... x² + 3x - 340 = 0

We can write this as

... x² - 17x + 20x - 340 = 0

... x ( x - 17 ) + 20 ( x - 17 ) = 0

... ( x + 20 ) = 0

... ( x - 17 ) = 0

... x = -20

... x = 17

As the value can not be in negatives, we take x as 17

The value of height = 17 cm

The value of the base = 20 cm

Hope my answer helps!!


6 0
3 years ago
Read 2 more answers
(x+y+2)(y+1) &lt;--- Please help,will mark brainly
kifflom [539]

Answer:

y^2+xy+x+3y+2

Step-by-step explanation:

first of all we have to multiplies the y in the second bracket for all numbers in the first bracket.

so we have:

xy+y^2+2y

now we have to do the same with 1

x+y+2

now we have to unite the two solutions

xy+y^2+2y+x+y+2

at least we have to added up the similar terms (that have the same literal part)

y^2+xy+x+3y+2

6 0
3 years ago
(14-8) × (15-4) <br> Use the order of operations to find the value of each expression
stepan [7]

Answer:

66

Step-by-step explanation:

PEMDAS (parenthesis is first)

14-8=6

15-4=11

then you multiply

6 times 11 equals 66

5 0
3 years ago
Read 2 more answers
Help??
julsineya [31]
You would use the equation 

F+V=E+2
3 0
3 years ago
Read 2 more answers
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