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3 years ago

Which point is on the interior of ∠DEF?

Mathematics

2 answers:

Svet_ta [14]3 years ago

5 0

The right answer is D. point G

Point G lies on the interior angle because the angle between the two sides is less than 90 degrees. To contrast this, point H lies on the exterior of ∠DEF. On the other hand, point D lies on the segment DE and point F lies on the segment EF. Finally, point E lies on the vertex of ∠DEF.

LuckyWell [14K]3 years ago

4 0

I would say D. point G would be the correct answer

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Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank

s344n2d4d5 [400]

formula is $A=P(1-\frac{r}{n})^{nt}$

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years

we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12

remember that $ln(x^a)=a(ln(x))$

also that $(a^b)^c=a^{bc}$

$2(5745)=5745(1+\frac{0.065}{12})^{12t}$ , solving for t

divide both sides by 5745 to simplify things a bit

$2=(1+\frac{0.065}{12})^{12t}$ I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

$2=(\frac{12.065}{12})^{12t}$

take ln of both sides

$ln(2)=ln((\frac{12.065}{12})^{12t})$

$ln(2)=(12t)ln(\frac{12.065}{12})$

divide both sides by $12ln(\frac{12.065}{12})$

$\frac{ln(2)}{12ln(\frac{12.065}{12})}=t$

using our calculator, t≈10.6927

so rounded, we get 10.7 years

3 0

3 years ago

I'LL MARK BRAINLIEST!!!!!!

quester [9]

I got 1.5 I used Siri and then calculated tried to see if items correct so I went on safari and found nothing so I this it would be either a or c

Goodluck

6 0

2 years ago

55 is the product of vidya's age and 5 <br> Use the variable v to represent vidya's age

klasskru [66]

V= 11. If you divide the product 55 by 5 you get Vidya's age.
You're Welcome

5 0

3 years ago

A company has two separate offices. One office has a color printer and the other office has a black and white

Vitek1552 [10]

Answer:

the larger of two printers being used to print the payroll for a major corporation requres 40 min. to print the payroll.So the smaller printer's payroll printing rate is

1 payroll per x min or or

>>...After both printers have been operating for 10 min, the larger printer malfunctions...<<

So the fraction of the payroll that the larger printer did in the 10 minutes

is = payroll.

Step-by-step explanation:

7 0

3 years ago

One number is 16 more than a second number. The sum of the first number and twice the second number is 139. What is the answer ?

Nezavi [6.7K]

Answer first number = 57 second number = 41
x= 16 + y
x + 2y = 139

16+ y + 2y =139
16 + 3y =139
16-16 +3y = 139-16
3y = 123
3/3y = 123/3
y= 41

x= 16+y
x = 16+41
x= 57

4 0

3 years ago