1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zhenek [66]
3 years ago
10

Number 3 I don’t understand it

Mathematics
1 answer:
yuradex [85]3 years ago
5 0
The measures of complementary angles add up to 90 degrees. Angles A and B therefore add up to 90 degrees.

To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.

m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°

5x - 10 = 90
5x = 100

x = 20

Then, plug the value of x back into each expression to find the measures of angles A and B.

m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°

m∠A = 65°

m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°

m∠B = 25°

You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.

65° + 25° = 90°
You might be interested in
A movie theater is holding a contest for people who are in line before 10 p.m. The people who are within three places of the 99
pav-90 [236]

Answer:

|x-99|<3

Step-by-step explanation:

|x-99|<3

4 0
3 years ago
What is the number nearest to 10000 which is exactly divisible by 3, 4, 5, 6, 7, and 8?.
Tems11 [23]

10080 is the number nearest to 10000 that is divisible by 3, 4, 5, 6, 7, and 8.

Divisibility is being able to divide a number evenly and result to a whole number. Divisibility rules are set of rules to test if one number is divisible by another without doing much computation.

#1: divisibility by 2

A number is divisible by 2 if its last digit is even.

# 2: divisibility by 3:

A number is divisible by 3 if the sum of its digits is divisible by 3.

# 3: divisibility by 4

A number is divisible by 4 if the number represented by its last two digits is divisible by 4.

#4: divisibility by 5

A number is divisible by 5 if its last digit is 0 or 5.

# 5: divisibility by 6

A number is divisible by 6 if it is divisible by both 2 and 3.

# 6: divisibility by 7

Double the last digit and subtract it from a number made by the other digits. The result must be divisible by 7.

#7: divisibility by 8

A number is divisible by 8 if the number represented by its last three digits is divisible by 8.

#8: divisibility by 9

A number is divisible by 9 if the sum of its digits is divisible by 9.

# 9: divisibility by 10

A number is divisible by 10 if its last digit or the digit in the ones place is 0.

To get the number nearest to 10000 that is divisible by 3, 4, 5, 6, 7, and 8, consider first the numbers that are divisible by 5(numbers ending in 5 or 0) and narrow it down to numbers ending in 0 since numbers ending in 5 is not divisible by 2, thus making it indivisible by 6.

The process goes on by narrowing the list by checking its divisibility by 3, 4, 7 and 8.

To know more about divisibility rules, visit brainly.com/question/9462805.

#SPJ4

7 0
1 year ago
Is line BC parallel to DE? Choose the best justification.
Aleksandr [31]

Answer:

C

Step-by-step explanation:

The last one.

Hope this helped!

5 0
3 years ago
(03.05 LC) The graph of a function f(x) is shown below: graph of line segment going through ordered pairs negative 3, negative 4
Aleks [24]

Answer:

−3 < x ≤ 1

Step-by-step explanation:

The domain of a function is the set of x-values.

In this graph, the open circle at (-3, -4) means the segment goes back up to this point but this point is not part of the segment itself.

The closed circle at (1, 2) means this is the endpoint and part of the segment.

This means the x-values range from almost -3 up to and including 1; this gives us the inequality

−3 < x ≤ 1

4 0
3 years ago
Read 2 more answers
The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Su
valentinak56 [21]

Answer:

25 mpg

Step-by-step explanation:

We have a set of values 19, 21, 22, 28  and 18  

The average (which is the mean of the set of values )  is :

19 + 21 + 22 + 28 + 18 = 21.6 mpg   out of the government requirement

So we need a value such as the mean become at least 25 mpg

We have to solve the equation:

(19+21+22+28+ x)/ 5  = 25

 (90 + x ) /5  = 25       ⇒   90 + x = 125   ⇒   x = 35 mpg

If we get the mean of the set of values including 35 we have:

(19 +21+ 22+ 28 + 35 ) / 5   =  25 mpg  government requirement

7 0
3 years ago
Other questions:
  • HEEEELP!!!!! 30 POINTS! Conjecture: Points A, B, and C are noncollinear. Is this conjecture true? No, points A and B lie on the
    8·1 answer
  • What's...factorise: 25x²-y²?
    10·1 answer
  • Cindy works two jobs to make ends meet. Both jobs pay her an hourly wage. At the first job, Cindy earns $6.50 per hour. At the s
    7·1 answer
  • 3 + 2(2x + 8) = 1 is equivalent to
    13·1 answer
  • How do you imagine that you will use statistics in your Pharmacy Technician career?
    7·2 answers
  • According to the graph, the __________________ is 57-43.
    11·1 answer
  • Inscribed angles math lib <br> Need help with number 2 , 3 , and 4 thank you!!!
    14·2 answers
  • In a grocery store, a $25 case of toilet paper is labeled, "Get a 25% discount." What is the discount? What is the sale price of
    10·1 answer
  • John plans to practice piano at least 2 1 2 212 hours this weekend. If he practices 1 1 6 116 hours on Saturday and 1 1 4 114 ho
    15·1 answer
  • Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!