Answer:
M<1 80 by the corresponding angles postulate
Step-by-step explanation:
All exterior angles of n-gon always add up to 360°
To find the number of sides:
<h3>
Answer: 19 dimes</h3>
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Work Shown:
d = number of dimes
q = 32-d = number of quarters
$5.15 = 515 cents
10d+25q = 515
10d+25(32-d) = 515
10d+800-25d = 515
-15d+800 = 515
-15d = 515-800
-15d = -285
d = -285/(-15)
d = 19
There are 19 dimes. You can stop here if you want.
q = 32-d = 32-19 = 13
There are 13 quarters
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Check:
1 dime = 10 cents
19 dimes = 19*10 = 190 cents
1 quarter = 25 cents
13 quarters = 13*25 = 325 cents
total value = 190 cents + 325 cents = 515 cents = $5.15
The answer is confirmed.
Answer:
Type of angle - Obtuse
Key information - 180° - 82° = 98° (missing angle)
Equation -

Step-by-step explanation:
Let's solve for the missing angle first! 180° - 82° = 98°. 180 represents the total among the angles so we use 180 degrees.
then use the statement to solve for y and make it equal to 98°

= -12 subtract 12 from both sides
= 86 Now solve for y by dividing 86 ÷ 5
y = 17.2