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Alisiya [41]
3 years ago
8

What is the value of x? 40" X 55 O A. 85° O B. 105° O c. 75° D. 95°

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
3 0

Answer:

A. 85°

Step-by-step explanation:

By interior angle sum theorem of a triangle.

x = 180° - ( 40° + 55°)

x = 180° - 95°

x = 85°

REY [17]3 years ago
3 0

Answer:

A. 85

Step-by-step explanation:

Youd do 40+55 and that equals 95 and then since a triangle qdds up to 180 degrees, 180-95=85

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X + 3 = 8
x = 8 - 3
x = 5 <=
3 0
4 years ago
what is the approximate percent increase when the population of a town increases from 12089 to 15025? round the amounts to the n
bulgar [2K]
The rate of increase is
\frac{15025}{12089}\approx1.242865

The percent of increase is then
(1.242865-1)*100\%=0.242865*100\%=24.2865\%
6 0
3 years ago
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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
dsp73

Answer:

The required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, a_2=10,a_3=5,a_4=2.5,a_5=1.25

r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}

The common ratio of GP is 1/2.

r=\frac{a_2}{a_1}

\frac{1}{2}=\frac{10}{a_1}

a_1=20

The first term of the sequence is 20.

The formula for sequence is

a_n=a(r)^{n-1}

Where a is first term and r is common difference.

The required sequence is

a_n=20(\frac{1}{2})^{n-1}

The formula for rate of change is

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The average rate of change from n = 1 to n = 3 is

m=\frac{f(3)-f(1)}{3-1}

m=\frac{5-20}{3-1}

m=\frac{-15}{2}=-7.5

Therefore the required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

8 0
4 years ago
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Land needs to order supplies for the upcoming month. Her
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60 of each item

Step-by-step explanation:

5 boxes of pencils, 6 boxes of markers, 15 boxes of notebooks, 10 boxes of erasers, and four boxes of folders

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4 years ago
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Express 240 as a product of prime factors.
Sholpan [36]

Answer:

240 = 2 x 2 x 2 x 2 x 3 x 5 or 2^4x3x5

Step-by-step explanation:

               240

              /      \

            2      120                     (240 = 2 x 120)

                   /      \

                 2       60                 (120 = 2 x 60)

                        /      \

                      2       30            (60 = 30 x 2)

                             /      \

                           2       15       (30 = 2 x 15)

                                  /      \

                                3        5

6 0
3 years ago
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