Answer:
<em>146</em>
Step-by-step explanation:
Supllementary angles add up to 180 degrees.
<em>180-34 = 146</em>
X= number of dimes
x+6= number of quarters
5(x+6)= number of nickels
$5.40= 540 cents
Add the number of each coin and set it equal to the total in cents.
x + (x + 6) + 5(x + 6)= $5.40
multiply 5 by parentheses; change dollar total to cents
x + (x + 6) + (5 * x) + (5 * 6)= 540
x + (x + 6) + 5x + 30= 540
combine like terms
7x + 36= 540
subtract 36 from both sides
7x= 504
divide both sides by 7
x= 72 dimes
x + 6= 78 quarters
5(x + 6)= 390 nickels
CHECK
72 + 78 + 390= 540
540= 540
ANSWER: There are 72 dimes, 78 quarters and 390 nickels.
Hope this helps! :)
Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²
d of side AC is 6
d of side CB is 10
Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²
Option C- Angelica's side lengths were too long.
Answer: C
Step-by-step explanation:
<h2>
Answer:</h2>
There are 1757600 possibilities.
<h2>
Step-by-step explanation:</h2>
In a certain state, fishing licenses are in the form of LLL NN
L stands for a letter of the alphabet (a to z)
N stands for a one-digit number from 0 to 9.
Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.
Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.
Hence, the total possible outcomes will be :
=1757600
Therefore the answer is 1757600 possibilities.
