Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB = HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
= 
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
=
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
Answer:
The APR of the loan was 18.30%.
Step-by-step explanation:
Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:
3,000 = 100
(73.94 x 48) = X
3,000 = 100
3,549.12 = X
3,549.12 x 100 / 3,000 = X
354,912 / 3000 = X
118.30 = X
118.30 - 100 = 18.30
Therefore, the APR of the loan was 18.30%.
The level has dropped 11 mms in 22 hours
that is 0.5mm per hour
So the remaining 31 mm will be gone in 31 / 0.5 = 62 hours
62 hours after 11 am Wednesday brings us to 11 am Friday + 14 hours
= 1 am Saturday. answer
Answer:
720 mL ; 1080 ml
Step-by-step explanation:
Givenn:
Apple syrup : water = 2 : 3
Fruit juice volume made using the ratio above = 1800 ml
Sum of ratio = 2 + 3 = 5
Litres of Apple syrup :
(Syrup ratio / total) * total volume of fruit
(2 / 5) * 1800
= 0.4 * 1800
= 720 ml
Litres of water :
(water ratio / total) * total volume of fruit
(3 / 5) * 1800
= 0.6 * 1800
= 1080 ml
