Answer:
x(9x – 10).
Step-by-step explanation:
google
A perpendicular bisector
this means the length IJ=JK and the angles IJB, BJK are 90° (and their congruent angles too)
but this does not mean AB=IK, because their lengths can be arbitrary
for a similar reason AJ=IJ is wrong, essentially the same statement but with half lengths
BI=BK is true, because it is a bisector of IK this means the sides IJ=JK and JB is a shared side, therefore also having the same length. We also know IJB and BJK are congruent angles, so all in all these are congruent triangle and therefore also share the side length
BI=AK is false, because we don't know where the intersection point j is on AB, it could split the length into any arbitrary ratio, in case these are two equal sides then it would be true, but it doesn't hold for all other possibilities
so BI=BK is the solution
I can’t do it rn so just dm me later
Answer:
<u>Jonathan has to pay Faye back US$ 240 </u>
<u>Jonathan has 4 people on his bill and Faye has 6.</u>
Step-by-step explanation:
1. Let's find out the amount of the phone bills, this way:
Total of the two bills = US$ 600
Faye's bill = US$ 120 more than Jonathan's
Jonathan's bill = x
Solving for x, we can use this equation:
x + x + 120 = 600
2x + 120 = 600
2x = 600 - 120
2x = 480
x = 480/2 = 240
<u>Jonathan has to pay Faye back US$ 240 </u>
2. Let's find out the number of people on each bill, this way:
Faye has two people more on her bill than Jonathan
Number of people on Jonathan's bill = x
Number of people on Faye's bill = x + 2
We will use the following equation:
240 * (x + 2) = 360x
240x + 480 = 360x
240x - 360x = -480
-120x = - 480
x = -480/-120
x = 4 ⇒ x + 2 = 6
<u>Jonathan has 4 people on his bill and Faye has 6.</u>
Step-by-step explanation:
coefficient of x is 17
coefficient of y is -5
coefficient of constant term: 3 + 19 + 10 = 32
