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Blababa [14]
2 years ago
14

∠A and ∠B are complementary angles. If m∠A is 30∘, what is the measure of ∠B?

Mathematics
1 answer:
solong [7]2 years ago
3 0

Answer:

60

Step-by-step explanation:

90-30 = 60

Remember, Complementary angles always = 90°

Supplementary always equals 180°

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To determine what apartment renters want, the manager randomly surveyed eight renters in each of the six buildings in the comple
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Two thirds is equal to 66.666666 etc. percent so 64 is pretty close to 66 so I would consider it right.
4 0
3 years ago
A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
2 years ago
Tim and Tom are painters. Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint is s
antiseptic1488 [7]
This is the concept algebra.
Volume of of paint that is required to paint  large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
The volume of the next crate to be painted will be 2x cubic units.
Hence the amount of paint required to paint the crate will be:
(volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate)
=(2x)/(x)×a
=2a liters
To paint the new crate 2a liters of oil is needed.
5 0
3 years ago
Write a system of linear equations for the graph below.​
sp2606 [1]
<h2>Answer:</h2>

We need to determine the equation of both lines first.

  • Line 1: <em>y = -2x + 3</em>
  • Line 2: <em>y = -1/3x - 2</em>

Now that we know the equations, we can set up a system of equations for this graph where both equations are in standard form.

Line 1:

y = -2x + 3\\\\2x + y = 3

Line 2:

y = -\frac{1}{3}x - 2\\\\\frac{1}{3}x + y = -2

<em>Final answer:</em>

2x + y = 3\\\frac{1}{3}x + y = -2

5 0
3 years ago
Read 2 more answers
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