Answer:

Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC

The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so

substitute

we have



remember that




The measures of triangle CGH are 
Triangle GHE


remember that

substitute and solve for m<GEH



The measures of triangle GHE are 
500 grams equals 0.50 kg so multiply 1.76 3 times to get 5.28, then divide 1.76 by 2 to get .88 add the two together to get 6.16
Answer:
$4080
Step-by-step explanation:
We have the amount she will pay back, but first, we need to find the Interest accrued.
Simple Interest is given as:

where P = principal
R = rate
T = time taken (in years)
Therefore, the interest on $3,000 at 9% simple interest for 4 years is:

I = $1080
Therefore, the amount she will pay back is:
$3000 + $1080 = $4080
Answer:
Expected pay winning $50= $0.585
Expected pay winning $25= $2.36
Expected pay for anything else= $-4.35
Expected returns=3.59
Expected value for one play= $(-1.41)
Do not play this game because you will lose $1.41
Step-by-step explanation:
Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013
Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118
Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869
Expected pay($50)= 0.013$(50-5)= $ 0.585
Expected pay($25)= 0.118(25-5)$ = $2.36
Expected pay for anything else= 0.869(0-5)$ =$(-4.347)
Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41
c) Do not play the game.
Given that Rylee took out a loan for $3600 at 13% interest.
Where interest is compounded annually.
Interest for 1 year = 13% of 3600 = 0.13*3600 = 468
Amount due after 1 year = Loan + interest = 3600+468 = 4068
Monthly payment = 460
So Amount to be paid after 1 year = 4068-460 = 3608
New due amount $3608 is more than the loan amount $3600
Which means loan will always remain due for his entire life.
Hence Rylee will never be able to pay off the loan.
Interest must be less than the monthly payment in order to pay off the loan.