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Levart [38]
3 years ago
5

The sum of seven angles of an octagon is 132 degrees each. Find the measure of the eighth angle.

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

the sum of the angles in an ngon (a polygon with n sides) is (n-2)*180

so an octagon has 8 sides and has a sum total of (8-2)*180=1080 degrees

if each of 7 angles is 132, then 1080=?+7*132

1080=?+924

156=?

the 8th angle is 156 degrees

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Ten slips of paper labeled from 1 to 5 are placed in a hat. The first slip of paper is not replaced before selecting the second
vagabundo [1.1K]

Answer:

1/10

Step-by-step explanation:

There are two numbers less than 3 (1 and 2), and one number greater than 4 (5).

When the first slip is drawn, there are five slips in the hat, so the probability of a number less than 3 is 2/5.

When the second slip is drawn, there are four slips in the hat, so the probability of a number greater than 4 is 1/4.

Therefore, the total probability is (2/5) (1/4) = 1/10

6 0
3 years ago
Question 1 of 25
padilas [110]
I believe it’s 11n -4 -40
5 0
2 years ago
An adult and 5 children rent a skates. it costs $4 per adult for skates and a total of $16
Elenna [48]

Answer:

$2.20 per child

Step-by-step explanation:

16-4=11

11/5=2.2


3 0
3 years ago
HELP! ASAP!<br> What is the measure of ∠A?<br><br><br> What is the measure of ∠B?
olganol [36]
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

3 0
3 years ago
Read 2 more answers
Solve the triangle. Round your answers to the nearest tenth.
wel

Answer:

m∠A ≈ 43°

m∠B ≈ 55°

mBC ≈ 20

Step-by-step explanation:

Law of Sines: \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Step 1: Find m∠B

\frac{29}{sin82} =\frac{24}{sinB}

Step 2: Solve for ∠B

29sinB = 24sin82°

sinB = 24sin82°/29

B = sin⁻¹(24sin82°/29)

B = 55.038°

Step 3: Find m∠A

180 - (55.038 + 82)

180 - 137.038

m∠A = 42.962°

Step 4: Find BC

\frac{29}{sin82} =\frac{BC}{sin42.962}

Step 5: Solve for BC

29sin42.962° = BCsin82°

BC = 29sin42.962°/sin82°

BC = 19.9581

4 0
2 years ago
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