Answer: 7
Step-by-step explanation:
As tangents drawn from a common external point to a circle are congruent,
- 8x - 7 = 6x + 7
- 2x - 7 = 7 [subtract 2x from both sides]
- 2x = 14 [add 7 to both sides]
- x = 7 [divide both sides by 2]
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
Answer:
1) ∠M
2) MT, GT
3) ∠G
4) not enough information...because we are given two congruent sides but an angle that is not included.
5) SAS because two sides are congruent (including the one they share) and an included angle.
6) SSS because three sides are congruent (including the one they share).
Answer:
a. 2
c. efx = 20 = 2.22
x. 9
b.1/2×20 = 10
Step-by-step explanation:
it is 2 because it has the highest frequency
8/10 can be simplified to 4/5 by dividing the top and bottom by 2. That is the simplest form because you cannot divide it any further.
