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maxonik [38]
3 years ago
7

Find the measure of an exterior angle of a decagon

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0

\bf \textit{sum of all exterior angles in a polygon}\\\\n\theta =360~~\begin{cases}n=\textit{number of}\\\qquad sides\\\theta =angle~in\\\qquad degrees\\[-0.5em]\hrulefill\\n=10\end{cases}\implies 10\theta =360\implies \theta =\cfrac{360}{10}\implies n=36

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Can someone please explain how to solve it ?? ​
Alik [6]

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

4 \times 2

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

3 \times 2

add both equations and you get

(4 \times 2) + (3 \times 2)

The answer is 14cm! Don't forget to label. ;)

8 0
3 years ago
The slant height is 8 inches and the diameter is 8 inches, what
Lynna [10]

Answer:

150.85inches

Step-by-step explanation:

TSA of cone= πr(r+l)

= 22/7×4(4+8)

= 150.85inches

4 0
3 years ago
A coin is tossed 20 times. It lands on heads 9 times. What is the P(H) according to your experiment? Write your answer as a frac
Mama L [17]

Answer:

\frac{9}{20}=0.45=45%

Step-by-step explanation:

Probability is found by first forming a fraction where the numerator represents the number of desired outcomes and the denominator represents the total number of outcomes.  In this case, the desired outcomes is the amount of times the coin lands on heads (9) and the total outcomes is the number of times the coin is tossed (20):

\frac{9}{20}

Divide numerator by denominator to get a decimal: 9÷20= 0.45

Multiply the decimal by 100 to get a percent: 0.45 x 100 = 45%

8 0
3 years ago
An angle measures 42 less than its complementary angle. What is measure of each angle?
yaroslaw [1]
First angle = x
Second angle = x - 42
Sum both complementary angles = 90

x+x-42=90
2x=132
x=66⁰    -  First angle
x-42=66-42=24 
24⁰ - Second angle
6 0
3 years ago
A certain paint is sold in both 1-gal cans and 1-qt cans. The gallon can cost $13 and the quart can cost $5. How much more do yo
Komok [63]

Answer:

8% or 80%

Step-by-step explanation:

$13.00 - $5.00 = $8.00

4 0
3 years ago
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