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3 years ago

Please help asap. Thank you so much! Question 1/7

Mathematics

2 answers:

solniwko [45]3 years ago

5 0

What class is for ? If you tell me I could take out my notes

Cloud [144]3 years ago

3 0

Answer:

<u> Reasons Statements </u>

1. Given
$\overline{BC}\cong\overline{EC}$ 2. Given
3. All vertical angles are congruent
$\Delta{ABC}\cong\Delta{DEC}$ 4. SAS

Step-by-step explanation:

You have to prove the triangle congruent by SSS (side side side), SAS (side angle side), ASA (angle side angle), AAS (angle angle side), and HL (hypotenuse leg). I proved this triangle by SAS because they already told us that < A and < D are congruent and that line BC is congruent to line EC. So I just had to prove that <ACB and <DCE are congruent, and since they are vertical angles they have to be congruent.

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Express 34 as a pencentage

Colt1911 [192]

34 as a percent is 3400%

In order to get this number you move the decimal to places to the right:
34.0 ---> 3400.0 =
3400%

7 0

3 years ago

Read 2 more answers

Which is a better buy 4 grapefruits for 80 cents or 12 grapefruits for $1.80?

PtichkaEL [24]

12 grapefruit for 1.80. so if you multiply. 80 cents by 3=2.40 for 12 but 1.80 us cheaper

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3 years ago

Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the oppor

stepan [7]

Answer:

Step-by-step explanation:

Answer:

a. The amount that is saved at the expiration of the 5 year period is $22,769.20¢

b. The amount of interest is $2,769.20¢

Step-by-step explanation:

Since the amount that is deposited every year for a period of five years is $4,000 and the rate of the interest is 6.5%. We can always calculate the amount that is saved at the expiration of the five years.

We will first state the formula for calculating the future value of annuity:-

Future value of annuity =

$P[\frac{(1 + r)^{t}-1 }{r}]$

Where P is the amount deposited per year.

r is the rate of interest

t is the time or period

and in this case, the actual value of P = $4,000

rate of interest, r is 6.5% = 0.065

time, t is 5 years.

Substituting e, we have:

Fv of annuity =

$4,000[\frac{(1 + 0.065)^{5}-1 }{0.065 }]$

= 4,000 × [((1.065)^5)- 1/0.065]

= 4,000 × [(1.37 - 1)/0.065]

= 4,000 × (0.37/0.065)

= 4,000 × 5.6923

= $22,769.20¢

a. Therefore the amount that is saved at the end of the five (5) years is $22,769.20¢

b. To find the interest, we will calculate the amount of deposit made during the period of five years and subtract the sum from the current amount that is saved ($22,769.29¢).

Since I deposited 4,000 every year for five years, the total amount of deposit I made at the period =

4,000 × 5 = $20,000

The amount of interest is then = $22,769.20¢ - $20,000 = $2,769.20¢

3 0

3 years ago

Is -100 rational or irational

pychu [463]

-100 is rational.

-100 can be turned into a fraction by doing the following...

Just put 1 underneath -100 and you get $\frac{-100}{1}$