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1 year ago

If angle 2 = 106 degrees, what is the measurement of angle 6 ? ( better explanation in picture )

Mathematics

1 answer:

Triss [41]1 year ago

4 0

angle 2 and angle 6 are corresponding angles.

Since the lines crossed by the trnasversal are parallel, corresponding angles are congruent. (equal)

angle 6 = 106°

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Answer: C

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3 years ago

Olaf needs a total of 3 cups of sugar to make 4 cakes. Write and solve an equation to find the number of cups of sugar he needs

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3 years ago

Read 2 more answers

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

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3 years ago

Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?

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3 years ago

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castortr0y [4]

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The second option is the best.

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3 years ago