If B is a midpoint between points A and C, then AC = AB + BC and AB = BC.
AB = 4 - 5x, BC = 2x + 25
substitute
4 - 5x = 2x + 25 |-4
-5x = 2x + 21 |-2x
-7x = 21 |:(-7)
x = -3
AB = BC → AC = 2AB = 2BC
BC = 2x + 25 → BC = 2(-3) + 25 = -6 + 25 = 19
AC = 2(19) = 38
Answer: AC = 38
<u>The answer is A.</u>
Rae made the error when she added 7.
The equation should be: <u>-14 - 7 = 7x + 7 - 7</u>
Answer:
D. 8*x
Step-by-step explanation:
Hello there! A regular octagon has eight sides with the same extension. The perimeter is the addition of each of them. If each side is x units length, then x + x + x + x + x + x + x + x = 8*x is its perimeter.
Answer:
(repeating, which is usually signified by a line over the 6, but I couldn't type that)
Step-by-step explanation:
________
15 | 4
__._____
15 | 4 0 since 15 is bigger than 4, add a 0 here.
make sure you also place a decimal point
above (above the place directly after 4) so your
answer isn't larger than it should be.
__.2____
15 | 4 0
3 0 15*2 = 30. that's as close to 40 as we're going to get.
__.2____
15 | 4 0
<u>-30 </u>
10 40 - 30 = 10.
__.2____
15 | 4 0
<u>-30 </u>
1 0 0 bring down an imaginary 0.
__.26___
15 | 4 0
<u>-30 </u>
1 0 0
<u> - 90 </u> 15*6 = 90. that's as close to 100 as we're going to get.
1 0
Notice that we keep getting 10 as a remainder again if we keep going. So 6 keeps repeating on top, which is why it's a repeating decimal. Once you realize it's the same number again and again the further you divide it, you can stop and write the line over the 6.