Answer:

Step-by-step explanation:

Answer:
There are 14 dimes and 17 nickels.
Step-by-step explanation:
Let x be number of nickels and let y be number of dimes.
Given that the total is $2.25 and there are 31 coins, we know that:


Solving for x yields:

We then proceed by plugging that back into the previous equation:

--> Distribute
--> add y's together
--> subtract 1.55
--> divide by 0.05
Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.
Answer:
65º
Step-by-step explanation:
- The angle of a straight line is 180º, so ∠ABD=180º and ∠ABC=(180-6x)º
- The sum of the interior angles of a triangle is 180, so (x+40)º+(3x+10)º+(180-6x)º=180
- We can solve from there, x+40+3x+10+180-6x=180
- Combine like terms, -2x+230=180
- Subtract 230, -2x=-50
- Divide by -2, x=25
- m∠CAB=(x+40)º=(25+40)º=65º
- m∠ABC=(180-6x)º=(180-150)º=30º
- m∠BCA=(3x+10)º=(75+10)º=85º
Answer:
<h3>64°</h3>
Step-by-step explanation:
y = 52° ( Opposite Angles )
y + 2x = 180° ( Interior Angles )
