in order to get the percentage you would just need to divide 6,840 by 38,000 (6840/38000 = .18)
this gives you .18
.18 is equivalent to 18%
John paid 18% of his earnings on entertainment.
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Check the picture below
if your calculator is in Degree mode, you'll get the angle in degrees, if in Radian mode, you'll get radians get taking the inverse sine, so you know
3x=8
Solve for x by dividing by 3 on both sides
x=8/3
Now plug 8/3 in for x in second equation
3(8/3)+y=15
This gives you
8+y=15
Subtract by 8 on both sides to find y
y=8
Now write it in ordered pair form (x,y)
So your answer is (8/3,8)