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3 years ago

Find the measure of ∠C.

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Answer:

C = 20

Step-by-step explanation:

The sum of the angles of a triangle is 180

73+87+c =180

Combine like terms

160 +c = 180

subtract 160 from each side

160+c-160 = 180-160

C = 20

victus00 [196]3 years ago

4 0

Answer:

the answer is 20/c

Step-by-step explanation:

first add the two angle degrees and then subtract by 180

73+87

160

180-160

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3 years ago

Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth

antoniya [11.8K]

Answer:

The perimeter of the polygon is $P=14.47\ units$

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

$d=\sqrt{(0-3)^{2}+(3+1)^{2}}$

$d=\sqrt{25}$

$dXY=5\ units$

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

$d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}$

$d=\sqrt{20}$

$dYZ=4.47\ units$

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

$d=\sqrt{(-2-3)^{2}+(-1+1)^{2}}$

$d=\sqrt{25}$

$dXZ=5\ units$

step 4

Find the perimeter

P=XY+YZ+XZ

$P=5+4.47+5=14.47\ units$

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3 years ago

Vera is an ecologist who studies the change in the bear population of Siberia over time. The relationship between the elapsed ti

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Answer:

Every year, the bear population shrinks by a factor of 2/3 .

Explanation:

The concrete question and the function or data were omitted.

I found the complete question on the internet. Please, find attached the picture with the complete question

You must complete the sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.

Thus, the goal is to interpret the rate of change in an exponential model.

The exponential model is:

$N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t$

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population shrinks by a factor of 2/3 .

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