Answer:
x=7
Step-by-step explanation
left part + 0.006 = right part + 0.006
----> 0.1x = 0.08x+0.14
left part -0.08x =right part - 0.08x
----> 0.02x=0.14
x=7
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
8x+3y=9
-8x. -8x
3y = -8x+9
3y/3 = (-8x+9)/3
y = -8/3x +3
so, slope is -8/3
Step-by-step explanation:
Monthly bill - Flat rate = $38.44 - $3.99 = $34.45.
Minutes used = $34.45 / $0.05 = 689.
To find volume multiply length, width, and height.
12.2 x 9.8 x 16.4 =1960.784
The answer is 1960.748 cm.