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Mama L [17]
3 years ago
10

In an equilateral hexagon, four of the exterior angles each have a measure of x°. the other two exterior angles each have a meas

ure of twice the sum of x and 48. give the measures of the exterior angles in order from least to greatest.
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

A hexagon has 6 sides. Four of the exterior angle have an angle x. The other
two angles have angle 2(x + 48). Since rhe sum of the exterior angles of a
regular polygon equal 360 degrees.
 We have x + x + x + x + 2(x +48) + 2(x + 48) = 360
 4x + 2x + 2x + 96 + 96 = 360
 8x + 192 = 360
 8x = 360 - 192 
 8x = 168
 x = 21
 For the other two sides the angles are 2(21 + 48) = 138
 So we have 21, 21, 21, 21, 138, 138

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~**Will mark brainliest **~<br> For the correct answers to all three questions
aleksandr82 [10.1K]

a)

\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}

b)

\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}

c)

\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}

6 0
3 years ago
elie is now 4 times as old as her son. in 5 years time shes going to be 3 times as old as her son. how old is ellies son now?
tigry1 [53]

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

5 0
3 years ago
Which is the leastt common multiple for 3 and 9
postnew [5]

Answer:

9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
36 is 8 3/4% of what number?
irga5000 [103]

Answer:

28.8 or 28 8/10

Step-by-step explanation:

A percentage is out of 100. We have to convert 8 3/4 into a percentage. 8 3/4 can also be written as an improper fraction 35/4. Now we have to make the denominator 100. We already knoe that 4 multiplied by 25 equals 100, then we do the same to the numerator. 35 multiplied by 25 gets us to 125. Now we got 125/100. Now since we converted the fracrion into a percentage, now what we do is divide 36 by 125% and that will get you to 28.8 or 28 8/10.

To double check your answer, you can multiply 28.8 by 125% and you will get 36.

4 0
3 years ago
What is the least 1/5 0.22 or 19%
attashe74 [19]


1/5 = 0.20

0.22 = 0.22

19% = 0.19

so, 19% is the smallest

7 0
2 years ago
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