1)
=> <span>m∠2 = 2x +13
=> </span><span><span>m∠1 = </span> 4x - 1
Since YP angle bisector the angles with be equal to each other,
</span>
m∠1 = <span>m∠2
2x + 13 = 4x - 1
2x - 4x = -1 -13
-2x = -14
x = 7
</span>
All other questions are to be done in that way, don't be lazy :P
Answer:
Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step-by-step explanation:
Let
denote the number of rafts seating 3 people and
the number of rafts seating 5 people. The total number of rafts is 13, so
. We can also assume that every raft is filled to the brim (it isn't stated explicitly though, but it's probably the intention of the question maker), so
.
It's always a good idea to put these equations under each other:
![\left \{ {{x+y = 13} \atop {3x+5y=53}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%2By%20%3D%2013%7D%20%5Catop%20%7B3x%2B5y%3D53%7D%7D%20%5Cright.)
We can subtract the first equation three times from the second one to obtain ![(3x+5y)-3(x+y) = 53 - 3(13)\\3x-3x + 5y - 3y = 53 - 39\\2y = 14\\y=\frac{14}{2} = 7](https://tex.z-dn.net/?f=%283x%2B5y%29-3%28x%2By%29%20%3D%2053%20-%203%2813%29%5C%5C3x-3x%20%2B%205y%20-%203y%20%3D%2053%20-%2039%5C%5C2y%20%3D%2014%5C%5Cy%3D%5Cfrac%7B14%7D%7B2%7D%20%3D%207)
Now, substitute this found value for
into
and we see that
. We are now done: Peter rents 6 of the rafts seating 3 people, and 7 of the rafts seating 5 people.
Step One
Find AM
Formula
AM = MN - AN
Givens
MN = 67.2
AN = 32
Solution
AM - 67,2 - 32
AM = 35.2
Step Two
Set up a solution
67.2/35.2 = 81.9/x Cross Muliply
67.2 * x = 81.9 * 35.2 Combine the right
67.2 * x = 2882.88 Divide by 67.2
x = 2882.88/67.2
x = 42.9 Answer
The answer is c and d because they both are accruing in the earth’s system unlike the other answers