She will have $57 back because the ticket are buy one get one free and she has 7 friends so for 3 tickets that u buy 6 of your friend get to go and then thei is still one more friend so you have to buy one more ticket so 10.75*3=32.25
and 32.25+10.75=43 and 100-43=57
There are 13 cards of each suit.
Picking a heart would be 13/52 which reduces to 1/4
Then replacing the card and picking a club would be the same : 1/4
Picking a heart then a club would be 1/4 x 1/4 = 1/16
Answer: 1/16
35%
divide whatever number you get move the decimal two spaces to the right and that is the percent.
Answer:
x=35
Step-by-step explanation:
180-147=33 (angles in a straight line)
33+3x+42=180 (angles in a triangle)
3x+42=147
147-42=105
105/3=35
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°