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Ymorist [56]
3 years ago
13

 The sum of the measures of the exterior angles of a regular 5-gon, one at each vertex, is __________ the sum of the measures of

the exterior angles of a regular 9-gon, one at each vertex.
less than 
equal to
greater than
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0
The exterior angles of a regular pentagon has a measure of 360-108= 252 degrees

the sum of these exterior angles will be 5*252=1260 degrees 

a regular nonagon (9-gon) has the exterior angles measure of 360 -140 = 220 degrees 

the sum of these exterior angles of a nonagon will be equal 9*220=1980 degrees 

so from these result that 

the sum of the measures of the exterior angles of a regular 5-gon is less than the sum of the measures of the exterior angles of a 9-on 

hope this will help you 
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Bill planted 647 tulip bulbs in his flower garden.He had to plant the bulbs in rows of 20.how many rows was bill able to plant?w
Angelina_Jolie [31]

Answer:

please pretty please mark brainlist

Step-by-step explanation:

number of plants = 647

number of plants in 1 rows = 20

number of rows =

647 ÷ 20 = 32 and remainder = 7 =>

647 = 32 × 20 + 7 =>

647/20 =

(32 × 20 + 7) / 20 =

32 + 7/20 =

32 7/20

5 0
3 years ago
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0
3 years ago
5. Mr. Rodriguez invests $2,000 in a savings plan. The savings account pays an annual interest rate of 5.75% on the amount he pu
slamgirl [31]

Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

Principal = $2000

Rate = 5.75%

Time = 10

Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

4 0
3 years ago
PLEASE HELP ASAP
Lena [83]
Multiplication is when you times two different numbers together where its negative or postive(you can multiple pretty much anything together)but combining like terms are number or letters thats the same. For instance, say if i have 4x+7-2x+3, i would combine each term that has something in common with it,like, 4x and 2x because both has X and i will combine 7 and 3 because those two are regular numbers and does not have an X like the others. I Hope That helps!
5 0
4 years ago
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the
nignag [31]

Answer:

Step-by-step explanation:

Given data:

Circumference of the base of the cone = 24in.

Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in

Surface area l = pie x radius ( slant height + radius)

= 3.142 x 6 (20 + 6)

= 3.142 x 6 (26)

= 3.142 x 156

= 490.152in^2

7 0
4 years ago
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