Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:
Where,
Plug in the necessary values to find the coordinates of K:
The coordinates of K = (8, 4)
An equation to represent this would be 12x+2=T.
x=10 people per large table.
If T=122 then we just have to isolate x on one side of the equation. The first step is to replace T with 120 and then subtract 2 on both sides (to cancel the +2) to get 12x=120. Cancel the 12 by dividing both sides by 12 to get x=10. The number of people seated at each large table would be 10. Hopefully I explained this correctly and helped you understand.
Answer:
The correct option is;
The sum of angles A and B are supplementary to angle C
Step-by-step explanation:
The statements are analysed as follows
1. Angle A is congruent to itself reflective property
Which shows that ΔABC and ΔADE have a common and equal angle
2. Segment ED and CB are parallel
From the transversal line passing EB and CB which shows that the angles ∠ADE and ∠ABC are equal and also ∠AED and ∠ACB are equal
The statement is used to prove similarity between the ΔABC and ΔADE
3. The sum of angles A and B are supplementary to angle C
The above statements relates to only ΔABC and i does not show similarity between ΔABC and ΔADE.