Answer:
C) 24
Step-by-step explanation:
Alternate interior angles are equal
so angle 1 equals angle 6
3x+10=x+58
subtract 10 from both sides
3x=x+48
then subtract x from both sides
2x=48
dived each side by two
x=24
Let d = number of dimes, q = number of quarters
<span>Sally has 20 coins in her piggy bank, so </span>
<span>d + q = 20 </span>
<span>The total amount of money is $3.05. </span>
<span>Use the value of each coin multiplied by its number to get total value </span>
<span>.10d + .25q = 3.05 </span>
<span>multiply everything by 100 to clear the decimal places </span>
<span>10d + 25q = 305 and </span>
<span>d + q = 20 </span>
<span>solve the second equation above in terms of either d or q - lets do d </span>
<span>d = 20 - q </span>
<span>sub that into the first equation </span>
<span>10d + 25q = 305 </span>
<span>10(20 - q) + 25q = 305 </span>
<span>200 - 10q + 25q = 305 </span>
<span>15q = 105 </span>
<span>q = 105/15 = 7 </span>
<span>and from above </span>
<span>d = 20 - q = 20 - 7 = 13 </span>
<span>so, there are 13 dimes and 7 quarters </span>
<span>verify with orig problem </span>
<span>13 + 7 = 20, OK, and $1.30 + $1.75 = $3.05
</span>
3.305
+1.7
5.005
Line up the decimal points and add like you usually would add.
5.005 is the answer.
Regular shape with six sides: That is a Hexagon
Sum of angles in a regular Polygon is: (n - 2)*180
Where n = Number of sides
For Hexagon, n = 6.
Sum = (n - 2)*180
= (6 - 2)*180 = 4 * 180 = 720°
