2 years ago

John writes the proof below to show that the sum of the angles in a triangle is equal to 180º.

Mathematics

1 answer:

GREYUIT [131]2 years ago

4 0

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

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A watermelon seed is 0.4 cm long how far ould a line of 114 seeds strech in meters

Alexeev081 [22]

it would be 0.456 meters.

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3 years ago

I would like to know how to solve this problem.

Darya [45]

Answer: 9

Step-by-step explanation:

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2 years ago

Kendra paid $7 for her admission ticket to the fair and bought 12 ride tickets. She spent a total of $31 on admission and ride t

Bogdan [553]

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4 years ago

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natka813 [3]

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Step-by-step explanation:

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7 0

4 years ago

At the end of 2 years, P dollars invested at an interest rate r compounded annually increases to an amount, A dollars, given

Valentin [98]

Answer:

40%.

Step-by-step explanation:

We have been given that an amount of $100 compounded annually is increased to $196 in 2 years. We are asked to find the interest rate.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Upon substituting our given values in above formula, we will get:

$196=100(1+\frac{r}{1})^{1*2}$

$196=100(1+r)^{2}$

$\frac{196}{100}=\frac{100(1+r)^{2}}{100}\\\\1.96=(1+r)^2$

$(1+r)^2=1.96$

Take positive square root of both sides:

$\sqrt{(1+r)^2}=\sqrt{1.96}$

$1+r=1.4\\\\1-1+r=1.4-1\\\\r=0.4$

Since interest rate is in decimal, form, so we will convert it into percentage as:

$0.4\times 100\%=40\%$

Therefore, the interest rate was 40%.

5 0

3 years ago