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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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3 0
3 years ago
The function f(x) = x is translated such that the function describing the translated graph is g(x) = (x + 5)' + 2. Where
Tresset [83]

Answer:

  (-5, 2)

Step-by-step explanation:

  g(x) = f(x -h) +k

is a translation of f(x) h units to the right and k units upward. Here, we seem to have h=-5 and k=2. That means the point (0, 0) has been translated 5 units to the left (to -5) and 2 units upward (to 2).

The translated location of (0, 0) is (-5, 2).

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We assume we're to ignore the apostrophe (') in the equation for g(x).

8 0
2 years ago
Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, d
Allushta [10]

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

7 0
3 years ago
I need help with 1 and 2
oee [108]
1) -149, -1; -148, -2; -147, -3
2) No, according to the commutative property of addition, it does not matter the order they are put in.

Hope this helps!
6 0
3 years ago
Read 2 more answers
An online music club sells songs for $.95each plus a $1.95monthly fee for the service. If Maria’s total monthly bill was $14.30,
aksik [14]
First you would subtract the monthly fee from the total bill
14.30 - 1.95 = 12.35
Maria spend $12.35 on songs, to find out how many songs, you divide that by $.95
12.35 \div .95 = 13
Maria bought 13 songs this month.
5 0
3 years ago
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