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
sleet_krkn [62]
3 years ago
15

How do I do this Q11

Mathematics
1 answer:
SashulF [63]3 years ago
5 0
Look at one of the vertices of the heptagon where two squares meet. The angles within the squares are both of measure 90 degrees, so together they make up 180 degrees.

All the angles at one vertex must clearly add up to 360 degrees. If the angles from the squares contribute a total of 180 degrees, then the two remaining angles (the interior angle of the heptagon and the marked angle) must also be supplementary and add to 180 degrees. This means we can treat the marked angles as exterior angles to the corresponding interior angle.

Finally, we know that for any convex polygon, the exterior angles (the angles that supplement the interior angles of the polygon) all add to 360 degrees (recall the exterior angle sum theorem). This means all the marked angles sum to 360 degrees as well, so the answer is B.
You might be interested in
What is the probability of flipping a coin 7 times and getting heads 5 times? Round your answer to the nearest tenth of a percen
N76 [4]
For a fair coin,
Probability of a head, P(H) = 1/2 = 0.5
Probability of a tail , P(T) = 1/2 = 0.5
The number of possible outcomes is small enough to simply list the outcome:
The possible outcomes of flipping a coin 7 times and getting heads 6 times are these 7 possibilities:
THHHHHH
HTHHHHH
HHTHHHH
HHHTHHH
HHHHTHH
HHHHHTH
HHHHHHT
The probability of EACH of the above outcomes is
= (0.5)(0.5)(0.5)(0.5)(0.5)(0.5)(0.5)
= (0.5)⁷
Since there are 7 possibilities and since the probabilities of every outcome is identical, the probability of rolling the 7 outcomes is,
= 7 x probability of each outcome
= 7 x (0.5)⁷
= 0.5468
= 5.468%
= 5.5% (nearest tenth)
6 0
3 years ago
The table shows the approximate population of Virginia for 5 years. If the trend continues, which could
frutty [35]

Answer:

It is C

Step-by-step explanation:

6 0
3 years ago
How to find the inverse of h(x) = 3/ -x - 2 List steps.
PtichkaEL [24]
To find the inverse,

First, you would have to switch the domain and range. In other words, swap x and y:

h(x) = 3/ -x-2
y = 3/ -x-2
x = 3/ -y-2

Then, when you have this, simply solve for y:

x = 3/-y-2
x (-y-2) = 3/-y-2 (-y-2)
x(-y-2) /x= 3 /x
-y-2 = 3/x
-y = 3/x + 2
 y = -3/x -2

So the inverse would be
 h⁻¹(x)= -3/x -2
7 0
4 years ago
Which word in the sentence does the adjective modify? The people listened closely to the lively speech. A. people B. closely C.
umka2103 [35]
"lively" modifys "speech"
7 0
4 years ago
Yoko needs 300 copies of her resume printed. Dakota Printing charges 19.50$ for the first 200 copies and 9$ for every 100 additi
enyata [817]

Answer:

29.79 should be the answer

Step-by-step explanation:

200 copies 19.50 + 9.00 for 100 copies = 28.50 + 4% = 29.79

7 0
3 years ago
Other questions:
  • If line EF biscects <CEB, m<CEF=7x+21 and m<FEB=10x-3, find the measure of <DEB
    6·1 answer
  • Landon used a semicircle,a rectangle,and a right triangle to form the figure shown
    10·1 answer
  • (2×4)×7=2×(7×4) what property does this demonstrate
    14·2 answers
  • 15 meters is equal to which 2 of the following
    7·2 answers
  • (14x + 30)<br> z<br> (5x + 66)
    8·1 answer
  • What is are the steps to do 6 divided by 74.4
    15·1 answer
  • $9500 in an account that pays 9% interest compounded each year. Assume that no withdrawals are made from the account.
    6·1 answer
  • What is the 8th term of the geometric sequence with this explicit formula ?
    7·1 answer
  • What does 7/3 look like?
    5·1 answer
  • 1. -3(2x + 1) - 4x + 45
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!