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3 years ago

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.

Mathematics

1 answer:

Blababa [14]3 years ago

6 0

Answer:

1 is 2x45

2 is x348

3 is x78

4 is x89

Step-by-step explanation:

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The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th

vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by $P(t)=1.394(1.006)^t$

To find the derivative you need to:

$\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t$

To find the population growing at the start of 2014 we say t = 0

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year$

To find the population growing at the start of 2015 we say t = 1

$P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year$

To convert billion to million you multiple by 1000

$P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year$

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3 years ago

Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered wi

Mrrafil [7]

Answer:

Step-by-step explanation:

Remarks

The given angle is an exterior angle.
It's value is 46 degrees.
An exterior angle is the sum of the two remote angles. (A remote angle is one that is not supplementary to the given exterior angle.

Solution

46 = <u + <t
<t = 29
46 = <u + 29 Subtract 29 from both sides.
46 - 29 = <u
<u = 17 degrees

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3 years ago

What is the resluf of convertig 14 inches into centimeters? Remember that 1 inch =2.54 centimeters.

stich3 [128]

multiply 14 x 2.54

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melisa1 [442]

This what it should look like. did you need the steps or no ?

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2 years ago

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.​

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.