Answer:16 coins and x+y
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Assuming that angle BAE and angle DAE are congruent, we want to set the equations 3x - 24 and x + 10 together to make it like this 3x - 24 = x + 10. Subtract x on both sides to get 2x - 24 = 10. Add 24 on both sides to get to this equation 2x = 34. Divide 2 on both sides to get your x value which is 17.
Answer:
All integers are whole numbers
Step-by-step explanation:
Integers include all whole numbers and their negative counterpart (basically numbers that are NOT fractions or decimals).
Whole numbers don't include negative numbers (as negative numbers are rational numbers).
Answer:
(-2, 2)
Step-by-step explanation:
<u>Given:</u>
- Point A is at (2, -8) and point C is at (-4, 7)
<u>Difference of coordinates:</u>
- Δx = 2 - (-4) = 6
- Δy = - 8 - 7 = - 15
<u>The ratio of AB to AC is 2:1. So:</u>
- AB = 2*AC/3 and BC = AC/3
<u>Then coordinates of point B should be 2/3 from the point A:</u>
- x = 2- 6*2/3 = 2 - 4 = -2
- y = - 8 - (-15)*2/3 = -8 + 10 = 2
So point B has coordinates of (-2, 2)
No. We claim that

and use algebra to prove the statement.
Let

. Multiply this by ten to get

. Subtract the initial equation to give

and divide by

to see that

. Substituting into the original equation gives

, proving the desired statement.