Answer:
Step-by-step explanation:
Because midpoints were used to make similar triangles we can say
AC=2(DE)
5x+12=2(9x-20)
5x+12=18x-40
-13x+12=-40
-13x=-52
x=4
AC=5x+12
AC=5(4)+12
AC=20+12
AC=32
. . Hmmmmmmmmm, I wonder what the answer could be XD
Answer:
0.65
5.16
6.5
6.51
31.56
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given

Required
The equivalent expression
We have:

Expand

Further expand

Apply laws of indices

Answer:
x = 18 or x = -12.
Step-by-step explanation:
||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12. We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.