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
lions [1.4K]
3 years ago
8

The interior angles of a hexagon are x∘,(x+1)∘,(x+2)∘,(x+3)∘,(x+4)∘, and (x+5)∘. What is x?

Mathematics
1 answer:
Lorico [155]3 years ago
6 0
The sum of the exterior angles is 360 deg. Each interior angle is supplementary to its corresponding exterior angle, so

(180-x)^\circ+(180-x-1)^\circ+(180-x-2)^\circ+(180-x-3)^\circ+(180-x-4)^\circ+(180-x-5)^\circ=(1065-6x)^\circ=360^\circ

So you have

1065-6x=360\implies 6x=705\implies x=\dfrac{235}2=117.5
You might be interested in
32 is 40% of what number? please show working.
blagie [28]
32 40%
80 100


to find the answer, you do 32 times 100, the. divide that by 40 which equals 80
6 0
3 years ago
I NEED HELP <br> PLZZ HELP ASAP<br> i will mark you as brainiest
12345 [234]

Step-by-step explanation:

1+1=78

5 0
3 years ago
help me please!!!!!! I really need help
IRINA_888 [86]

Answer:

Part A: hx2=a

Part B: 5hours

Step-by-step explanation:

7 0
2 years ago
Question: How long does it take an investment to quadruple in value if it earns 4% simple interest per year?
Assoli18 [71]

Answer:

It takes 75 years for the investment to quadruple in value

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

4% simple interest per year, so I = 0.04.

Quadruple:

t when T = 4P.

The interest earned is:

T = E + P

4P = E + P

E = 3P

Now we find the time.

E = P*0.04*t

3P = P*0.04*t

0.04t = 3

t = \frac{3}{0.04}

t = 75

It takes 75 years for the investment to quadruple in value

7 0
3 years ago
A line has a slope of -8 and includes the points (-10, 0) and (-9, z). What is the value of Z?
Evgesh-ka [11]

Answer:

Step-by-step explanation:

Let L be the given line, then, with a slope of -8

L :  y = -8x + b

where b is to be determined from the included point A(-10,0).

Substitute point A in L to get

0 = -8 (-10) + b

solve to get

b = -80

therefore

L : y = -8x -80

Now substitute B(-9,z) in L

z = -8(-9) - 80 = -8

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the population of each place in BOTH scientific notation and standard notation?
    6·1 answer
  • State the property that is demonstrated: (3)(8) = (8)(3).
    13·1 answer
  • 3m2 + 2p2 − 15 when m = 3 and p = 10
    15·2 answers
  • You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost
    6·1 answer
  • A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. T
    7·1 answer
  • What will be the coordinates of the image of point b?
    12·2 answers
  • Guided Practice
    9·2 answers
  • Write an equation in point-slope form for the line that has the given slope m
    12·1 answer
  • You are planning a trip to Yellowstone National Park, and know that you can save money by driving
    12·1 answer
  • Jonathan’s age is one-third Belindas age now in 12 years time Belinda will be M years old
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!