Answer:
25 degrees
Step-by-step explanation:
Haha, awesome! Just did a problem like this!
All angles add up to 180, so set it up like this:
2x + 1 + 5x + 5 + 90 = 18
Combine like terms.
7x + 96 = 180
7x = 84
x = 12
Plug x back into 2x + 1
2(12) + 1
24 + 1
= 25 degrees
While we're at it...
5(12) + 5
60 + 5
= 65 degrees (for the other angle)
25 + 65 + 90 = 180
Math checks out & we're good to go!
Hope this helped. :) <3
<h3>
Answer: 15</h3>
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Explanation:
n = number of new flash cards practiced
2n = number of old flash cards practiced
The 2n is due to the fact that the number of old flash cards is double that of the new ones (eg: 10 is twice that of 5).
The two expressions must add to 45.
new + old = total
n + 2n = 45
3n = 45
n = 45/3
n = 15
2n = 2*15 = 30
Noah practiced 15 new flash cards and 30 old flashcards which is a total of 15+30 = 45. This confirms our answer.
Also note that the ratio of new to old is 15:30 which reduces to 1:2, then we can multiply both sides by 5 to get 5:10. This effectively shows that 15:30 and 5:10 are the same equivalent ratio (just in different forms). This helps confirm our answer.
Answer: 1102 minutes
Explanation: Let x be the number of minutes Jim used 105.60 = 75 + 0.30 ( x − 1000 ) ⇒ 105.60 = 75 + 0.30 x − 300 ⇒ 105.60 = 0.30 x − 225
Answer:
7
Step-by-step explanation:You add the numbers and then divide by 5.
