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
Varvara68 [4.7K]
2 years ago
5

Please answer and use statement reason

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

You might be interested in
What is the greatest fraction you can make using the digits 4, 7, and 9?
wel

Answer:

  (7^9)/4 = 40,353,607/4

Step-by-step explanation:

Assuming each digit is used once and exponentiation is allowed, the largest numerator and smallest denominator will result in the largest fraction.

__

If other functions, such as factorial are allowed, then there might need to be a limit on the number of times they are applied. For example,

  (7!)^(9!)/4 has about 1 million digits

something like ...

  ((7!)^(9!))!/4 has many more digits than that

and you can keep piling on the factorial symbols to any desired depth.

6 0
3 years ago
How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3​
Ne4ueva [31]

Answer:The experimental probability of rolling a 3 is 1/30 greater than the theoretical probability of rolling a 3.

Step-by-step explanation:i did the test and got it right

6 0
2 years ago
Read 2 more answers
Please if anyone could help me with this questions??
Stels [109]

Answer:

Question 5

a)Simple Interest = Nu 450, Total Amount = Nu 6,450

b)Simple Interest = Nu 250, Total Amount = Nu 12,750

c)Simple Interest = Nu 2,880, Total Amount = Nu 10,880

Question 6

The amount of commission Mindu earned was Nu 4,750

Step-by-step explanation:

Question 5

Simply Interest formula is given as

I = P × R × T

Total Amount = P + I

Where

P = Principal

R = Rate

T = Time in years

I = Interest

a) P = Principal = Nu 6000

R = Rate = 15% = 0.15

T = Time = 6 months , converting to years = 6/12 months = 0.5years

I = Interest = 6000 × 0.15 × 0.5

I = Nu 450

Amount = P + I

= Nu 6000 + Nu 450

= Nu 6,450

Simple Interest = Nu 450, Total Amount =Nu 6,450

b) P = Principal = Nu 12,500

R = Rate = 8% = 0.08

T = Time = 3 months , converting to years = 3/12 months = 0.25 years

I = Interest = 12,500 × 0.08 × 0.25

I = Nu 250

Amount = P + I

= Nu 12,250 + Nu 240

= Nu 12,750

Simple Interest = Nu 250, Total Amount =Nu 12,750

c) P = Principal = Nu 8000

R = Rate = 12% = 0.12

T = Time = 3years

I = Interest = 6000 × 0.12 × 3

I = Nu 2,880

Amount = P + I

= Nu 8000 + Nu 2,880

= Nu 10,880

Simple Interest = Nu 2,880, Total Amount = Nu 10,880

Question 6

We are told in the question that each month:

If sales are up to Nu 75,000, = Mindu earns 3% commission

If sales are over Nu 75,000 = Mindu earns 5% commission

Last month, Mindu has sales of Nu 95,000

Since his sales was above Nu 75,000 he earns a 5% commission

Therefore, the amount he earned as commission is calculated as:

Nu 95,000 × 5%

= Nu 4,750

Therefore, the amount of commission Mindu earned was Nu 4,750

3 0
3 years ago
A set of headphones takes 5 minutes to charge up to 3 hours play. What is the unit rate?
Burka [1]

Answer:

1.666667 headphones per hour (simplify this)

Step-by-step explanation:

divide the top and bottom by 3 and you should get your answer

4 0
2 years ago
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year. She earned $299 in interest before closi
mestny [16]

Answer:

Your answer is 4 Years!

7 0
3 years ago
Other questions:
  • The number of pages read by two students each day for 5 days are listed in the table. Which statements are true about the data s
    7·2 answers
  • Write log4 14 as a logarithm of base 3.
    11·1 answer
  • Write an expression that has four terms. Your expression should have three different variables and a constant
    7·1 answer
  • Which expression can be used to find the area of the
    8·1 answer
  • Choose the correct proportions.
    11·2 answers
  • Find the greatest common factor of 12 and 16. The expression that can be used to find the GCF is 2×2 because you... A. multiply
    7·1 answer
  • A snail travels 3 feet in one hour. In each subsequent hour, the snail travels three-fourths the distance it traveled in the pre
    7·2 answers
  • Identify the vertex
    13·1 answer
  • Earned 60 points on his last test if there were 75 possible points what was his percent grade ?
    13·1 answer
  • 5.3N + 7.25 = 70.85 what is N
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!