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Vladimir79 [104]
3 years ago
6

The sum of the measures of two complementary angles exceeds the difference of their measures by72°. Find measure of the smaller

angle
Mathematics
1 answer:
weqwewe [10]3 years ago
3 0

Answer: 18


Step-by-step explanation:

this is because complementary angles add up to 90 degrees so you would just subtract 72 from 90 to get your answer :)

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PLEASE HELP! due tmr! <br><br> 24<br> 26<br> 55<br> 99
SVETLANKA909090 [29]

Answer:

99°

Step-by-step explanation:

Internal Angles of triangles ALWAYS add up to 180°

So, 180° is our total.

We can form an equation. <em>x° + 55° + (4x - 5)° = 180</em>°

We can remove the brackets to form; <em>x° + 55° + 4x° - 5° = 180°</em>

We can get rid of the like terms by either <em>adding </em>or <em>subtracting </em>them.

<em>x° + 4x° + 55° - 5° = 180°</em>

<em>5x° + 50° = 180°</em>

We can then subtract 50° from both sides.

<em>5x° = 180° - 50°</em>

<em>5x° = 130°</em>

We then make x the subject and divide both sides by 5°

x = 26

x was our unknown so where there is x we put 26

The angle on the far left is simply 26°

The other angle, (4x-5)° becomes (4(26) - 5)°

If you simplify that, you get (104-5)°

Hence the last angle was 99°

If you want to ensure that your answer is correct, simply add the angles. They <u><em>should always</em></u> add up to 180° if you're working with a triangle

55° + 26° + 99° = 180°

7 0
3 years ago
Read 2 more answers
Mia went for a long bike ride. She rode 10.25 kilometers each hour for 4.25 hours. How far did Mia travel on her bike ride?
Art [367]

Answer:

43.5625 kilometers

Step-by-step explanation:

hi!

To solve this problem, you have to take note of the important information which is:

- 10.25 km/hour

- 4.25 hours

- how far did she travel?

To answer the question, you need to take Mia's hourly rate (10.25 km PER hour) and multiply that by how many hours she rode her bike for (4.25) which equals 43.5625 kilometers

10.25*4.25 = 43.5625 kilometers

I hope this helped :)

6 0
2 years ago
HELP ME!!! I WILL MARK AS BRAINLY
borishaifa [10]

Answer:

4

Step-by-step explanation:

We can see from the two marked points the coordinates are: (2, 8) and (4, 16)

That means the rise (vertical change) is 16 - 8 = 8 units. And the run (horizontal change) is (4 - 2) = 2 units.

Therefore slope = rise/run = 8/2 = 4.

4 0
3 years ago
What is the answer to this system of equations? 2x - 3y= 21 and -6x + 2y = 7.
allsm [11]

answer:

x = - 9/2

y = -10

Step-by-step explanation:

make both equations look like y =

2x-3y=21 -> -3y= -2x+21 -> y = (-2x+21)/-3 -> y = 2/3x - 7

-6x + 2y = 7 -> 2y = 6x + 7 -> y = 3x + 7/2

now make the equations equal to each other (since they both equal y)

get x

2/3x - 7 = 3x + 7/2

-7 -7/2 = 3x - 2/3x

-14/2 -7/2 = 9/3x - 2/3x

-21/2 = 7/3x

(3/7) -21/2 = x

x = (3/7) -21/2

x = - 63/14

x = - 9/2

put it back in an equation to get y

y = 3x + 7/2

y = 3(-9/2) + 7/2

y = -27/2 + 7/2

y = -20/2

y = - 10

brainly.com/question/12203001

5 0
1 year ago
Make x the subject of the formula<br> y =square root ax + b
natita [175]

~~~~~y=\sqrt{ax+b}\\\\\implies y^2 = ax+b\\\\\implies y^2 -b = ax\\\\\implies x = \dfrac{y^2 -b}a

7 0
2 years ago
Read 2 more answers
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