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Goryan [66]
4 years ago
6

Suppose △ABC≅△DEF, m∠A=87°△ABC≅△DEF, m∠A=87°, and m∠E=56°m∠E=56°.

Mathematics
2 answers:
Free_Kalibri [48]4 years ago
3 0

If the trianles are congruent, the sum of three either angles would be equal to 180

so, 87+56+c = 180

c = 180-143

c = 37

SO OPTION C IS YOUR ANSWER....

irina [24]4 years ago
3 0
Your answer should be C 
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A chipmunk population is experiencing exponential growth with a population growth rate of 265 individuals/year, and a per capita
MAXImum [283]

Answer:

There are 1766 chipmunks in the population

Step-by-step explanation:

Number of individuals increasing per year = 265

Rate of increase = 0.15

Rate of increase = increase in number of individuals in a given population /total population

Substituting the given values, we get -

0.15 = (265/total population)

Total population = 265/0.15 = 1766

7 0
3 years ago
Determine the number of terms, n, given the geometric series -1 - 2 - 4 - 8 - ... and Sn=−31.
Gemiola [76]

Answer:

5

Step-by-step explanation:

We are given the geometric series:

-1, - 2, - 4, - 8.......

In the geometric series above, the common ratio = second term/first term = -2/-1

= 2

Where common ratio is greater than 1(r >1)

The sum of a geometric progression =

Sn = a(rⁿ -1)/r - 1

In the question we are asked to find the number of term = n

Sn = -31

a = -1

r = 2

Hence,

-31 = -1(2ⁿ - 1)/2 - 1

-31 = -1(2ⁿ - 1)

-31 = -2ⁿ + 1

2ⁿ = 1 + 31

2ⁿ = 32

2ⁿ = 2^5

n = 5

Therefore, the number of terms(n) = 5

3 0
3 years ago
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nikdorinn [45]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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3 years ago
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Please please help me with this please
ziro4ka [17]

Answer:

y + 20 = 9(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the lie

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 20) and (x₂, y₂ ) = (9, 79)

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Using (a, b) = (- 2, - 20), then

y - (- 20) = 9(x - (- 2)), that is

y + 20 = 9(x + 2)

4 0
4 years ago
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