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NikAS [45]
3 years ago
6

An angle is 6 more than five times its supplement. Whats the measure of the largest angle?

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0
Complementary angles: two angles that add to 90°
Supplementary angles: two angles that add to 180° (x)

angle "y" : y= 5x+6
180= (5x+6) + x
180=6x+ 6
174=6x
x=29
180- 29= 151


Answer: 151°

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Find the sum of the measures of the interior angles of each of the following convex polygons: a pentagon, an octagon, a dodecago
TiliK225 [7]

Answer:

540^{\circ},\ 1080^{\circ},\ 1800^{\circ},\ 6840^{\circ},\ 9000^{\circ},\ 17640^{\circ}

Step-by-step explanation:

The sum of the measures of the interior angles of each convex n-sided polygon is always equal to

(n-2)\cdot 180^{\circ}.

1. A pentagon is 5-sided polygon, then the sum of the measures of the interior angles of pentagon is

(5-2)\cdot 180^{\circ}=540^{\circ}.

2. An octagon is 8-sided polygon, then the sum of the measures of the interior angles of octagon is

(8-2)\cdot 180^{\circ}=1080^{\circ}.

3. A dodecagon is 12-sided polygon, then the sum of the measures of the interior angles of dodecagon is

(12-2)\cdot 180^{\circ}=1800^{\circ}.

4. For 40-sided polygon the sum of the measures of the interior angles is

(40-2)\cdot 180^{\circ}=6840^{\circ}.

5. For 52-sided polygon the sum of the measures of the interior angles is

(52-2)\cdot 180^{\circ}=9000^{\circ}.

6. For 100-sided polygon the sum of the measures of the interior angles is

(100-2)\cdot 180^{\circ}=17640^{\circ}.

5 0
3 years ago
A car covers a distance of 200 m. If its velocity is 20 m/s, calculate the<br>time taken.​
DerKrebs [107]

Answer:

10 seconds

Step-by-step explanation:

Distance = 200 m

Velocity = 20m/s

Time =?

time =  \frac{distance}{velocity}  \\ time =   \frac{200m}{20m/s}  \\ time = 10 \: seconds

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
What is 4 2/3 ÷ 1 1/5
vodomira [7]

Answer:

3 8/9

Step-by-step explanation:

1.) Convert each fraction from a mixed number to a improper fraction (to do that multiply the denominator with the whole number then add the numerator, the improper fraction denominator will remain the same as the mixed number denominator):

14/3 ÷ 6/5

2.) Solve

a. To divide the fractions, Flip the reciprocal, and multiply the fractions

14/3 x 5/6

b. Check if you can reduce the numbers, which you can 14 and 6 can be both divided by 2:

7/3x5/3

c. Multiply fractions (simply by multiplying across):

35/9

3.) Simplify numbers into mixed fraction (or decimal):

3 8/9

3 0
4 years ago
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