Answer:
Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.
Step-by-step explanation:
If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.
From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°
Hence, using angle addition postulate:
m∠ABD + m∠DBC = m∠ABC
20 + m∠DBC = 80
subtracting 20 from both sides (subtraction property of equality)
m∠DBC = 80 - 20
m∠DBC = 60°
Answer:
Step-by-step explanation:
Let x represent Dan's age
3x be James'age
Paul 2(3x+x)=6x+2x
Suming all ages
x+3x+6x+2x=120
Solving for x
12x=120
x=10 (Dan's age)
3×=30 (James'age)
6×+2×=80(Paul's age)
Answer:
-2; -7
Step-by-step explanation:
Hello, the graph is split in two lines, right?
Go to the first line at the left and move to the right until you reach the end of the line, which is for x = -1,
*** This is the meaning of x tending to
***
which value can you see for the y-axis? 
Now, go to the second line at the right and move to the left until you reach the end of the line, which is for x = -1,
*** This is the meaning of x tending to
***
which value can you see for the y-axis?

Thanks
Answer:
Step-by-step explanation:
25/8
8*3=24
25-24=1
3 1/8
Shiiii who’s that fine man