Luna has n colored cards. Some are red and some are blue. The ratio of the number of red cards to the number of blue cards is 5:2. Luna has 60 red cards.
Find an

n = 84 and there are 24 blue cards

Step-by-step explanation:

I'm guessing you're either trying to find n or the number of blue cards.

To find the number of blue cards:

Luna has 60 red cards and the ratio of red to blue cards is 5:2.

If you divide 60 by 5 (the number of red cards divided by the ratio for red cards) you get 12, which would be 1 in the ratio. The number in the ratio for blue cards is 2, so multiply 12 by 2 and you get 24. Therefore, the number of blue cards is 24.

If the explanation is confusing (which I know it is, sorry) you can look at it like this, and this is also a check:

The ratio of red to blue cards can be written as 5/2. If you do 5 ÷ 2, you get 2.5 and if you divide 60/24, you get 2.5

To find n, the number of cards Luna has, just add the number of red cards and the number of blue cards: 60 + 24 = 84

12cm

the answer is d

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)