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zhannawk [14.2K]
3 years ago
7

1) what is the value of x ?

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

a). x = 9

b). m∠ABC = 27°

c). m∠CBD = 153°

Step-by-step explanation:

1). Property of linear pair of angles states, "sum of linear pair of angles is 180°"

3x + (15x + 18) = 180°

18x + 18 = 180

18x = 180 - 18

18x = 162

x = 9

2). m∠ABC = 3x°

                   = 3×9

                   = 27°

3). m∠CBD = (15x + 18)°

                  = (15×9 + 18)°

                  = (135 + 18)°

                  = 153°

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<h3>What are inverse equations?</h3>

Inverse equations are the opposite of an original equation

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A population of squirrels on an island has a carrying capacity of 350 individuals. If the maximum rate of increase is 1.0 per in
TiliK225 [7]

Answer:

The population growth rate is <u>59</u> squirrels per year.

Step-by-step explanation:

Given:

A population of squirrels on an island has a carrying capacity of 350 individuals. If the maximum rate of increase is 1.0 per individual per year and the population size is 275.

Now, to find the population growth rate.

Carrying capacity (K) = 350.

Maximum rate (r_{max}) = 1.0 per individual per year.

Population size (N) = 275.

Now, to get the population growth rate we put formula:

\frac{dN}{dT}= r_{max}\frac{K-N}{K}N

\frac{dN}{dT}=1.0\times \frac{350-275}{350}\times 275\\\\\frac{dN}{dT}=1.0\times \frac{75}{350}\times 275\\\\\frac{dN}{dT}=1.0\times 0.214\times 275\\\\\frac{dN}{dT}=58.85.

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Therefore, the population growth rate is 59 squirrels per year.

6 0
2 years ago
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