Answer:
∠JKP = 35°
Step-by-step explanation:
since P is the incenter, then lines to incenter bisect the corner angles:
7x - 6 = 5x + 4
subtract 5 x from both sides of the equation:
2x - 6 = 4
add 6 to each side:
2x = 10
divide both sides by 2:
x = 5
∠KJP = 7(5) - 6 = 29°
∠LJP = 5(5) + 4 = 29°
then ∠KJL = 29° + 29° = 58°
∠KLJ = 26° + 26° = 52°
∠JKL = 180° - 58° - 52° = 70°
∠JKP = 1/2 ∠JKL = 1/2(70°) = 35°
there might be a more direct way about it but this was the least confusing way I know to explain it.
What this question means is that there is a certain number 1x2 that is divisible by 11.
we can simply see what kind of candidates there are. Let's start with 10*11=110.
now, how much is 11*11? it's 121, so not.
12*11? it's 132, and it fits into the question, and the missing number is 3!
so they each paid 12 dollars and gave 132 dollars to the speaker.
Exponentiation is not clear
If so Exponentiation
a²b²+2ab(a²+1)+a²-b²-1
this answer
a²b²+2a³b-b²+2ab+a²-1
As for if so Exponentiation
![a²b²+2ab(a²+1)+a² - b {}^{2 - 1}](https://tex.z-dn.net/?f=a%C2%B2b%C2%B2%2B2ab%28a%C2%B2%2B1%29%2Ba%C2%B2%20-%20b%20%7B%7D%5E%7B2%20-%201%7D%20)
this answer
a²b²+2a³b+2ab+a²-b
Answer:
(6,20) because both lines pass through this point
Step-by-step explanation:
To solve this you can use the substitution method.
Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.
Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.
Once you do this you should now have 14 = 2x+2
In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x
You then simplify x by dividing both sides by 2. This will get you x = 6
Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.
6 + 14 is 20, therefore you're y-value is y = 20
29.411764705882 % is the answer