Answer:
Step-by-step explanation:
Begin by dividing by 5
2x + 4 = 3
Is this written as 2^(x + 4) = 3? I think it is.
Take the log of both sides
log 2^(x + 4) = log(3)
(x + 4) * log(2) = log 3
log 2 = 0.30103
log 3 = 0.47712
(x + 4) = log2 / log3
x + 4 = 0.63093 Add 4 to both sides
x = -3.369 Rounded to the nearest thousandth
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If you mean the question exactly as it is written (the 4 is not part of the power)
5(2^x + 4) = 15
2^x + 4 = 3
2^x = 3 - 4
2^x = - 1
This can't be done 2 to any power should be >0.
if x>0 then this will give an ever increasing number
if xK0 then this will give an ever decreasing answer but still greater than 0.
No value will make 2^x go to something minus.
If I have misread this in some way, leave a note and I will get back to you.
75/200 movie goers watching 3D were students. 37.5% were students
50/100 movie goers watching 2D were students. 50% were students.
5/6 - 3/8
Rewrite the fractions to have a common denominator:
5/6 x 4 = 20/24
3/8 x 3 = 9/24
Now you have 20/24 - 9/24 = 11/24
The answer is D. 11/24
For the first one, you did good. I will just suggest a couple things.
Statement Reason
JK ≅ LM Given
<JKM ≅ < LMK Given (You did both of these steps so well done.)
MK ≅ MK Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)
ΔJMK ≅ ΔLKM SAS
Problem 2: (You also have a lot of great stuff here.)
Statement Reason
DE ║ FG Given
DE ≅ FG Given
<DEF≅<FGH Given
<EDF≅<GFH Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)
ΔEDF≅ΔGFH ASA
<DFE≅<FHG CPCTC
