Answer:
5
Step-by-step explanation:
If the ratio is truly "common," you can find it from any pair of successive terms:
r = 5/1 = 5
The common ratio is 5.
Answer:
The answer is option 2.
Step-by-step explanation:
Firstly, you must factorize the possible expressions :
Next you have to divide by converting to multiplication :
Lastly, you can cut out the similar expressions :
Let G be some point on the diagonal line away from point E.
Angle DEG represents angle 1.
We're given that angle DEF is a right angle which means it's 90 degrees. Angle DEG is some angle smaller than 90 degrees. By definition, that must mean angle 1 is acute. Any acute angle is smaller than 90 degrees. There's not much else to say other than this is just a definition problem.
----------------
Extra side notes:
If angle 1 was a right angle, then that would mean angle GEF would have to be 0 degrees; however the diagram shows this isn't the case.
If angle 1 was obtuse, then there's no way we'd be able to fit it into angle DEF. In other words, there's no way to have an angle larger than 90 fit in a 90 degree angle.
Its absolute value so the negative on the inside would change to positive, so the answer would remain -7 and 3/5. same with the other one, except you multiply the 3 to the -1, making it -3
Answer:
1. 6
2.
pennies = 9
nickels = 5
quaters = 5
dimes = 10
Step-by-step explanation:
1.
18/3 = 6
as we know that there are 18 scoops, and 3 per icecream, we can divide the two to get the number of ice creams
2.
5n
#n = #q; #q = 2#d, this is a simple ratio, you just plug in the variables to get
5n = 5q = 10d = 15 coins
24 - 15 = 9 pennies
pennies = 9
nickels = 5
quaters = 5
dimes = 10
