(a) What does the difference between 50 and 55 mean in the real-world context?
(b) What does the difference between 200 and 150 mean in the real-world context?
Answer:
45
Step-by-step explanation:
For x -
180 = 4x + 6 + 11x - 6
180 = 15x
= x
x = 12
For m∠ABD -
4(12) + 6
48 + 6
m∠ABD = 54
For m∠DBC -
11(12) - 6
132 - 6
m∠DBC = 126
Answer:
x = 12° ;m∠ABD= 54° ; m∠DBC=126°
Step-by-step explanation:
∠ABD + ∠DBC = ∠ABC
Here ,
∠ABC is a straight line .
We know,
A straight angle is 180 degrees.
So,
∠ABD + ∠DBC = 180°
⇒(4x+6)° + (11x-6)° =180° [given]
⇒15x =180°
⇒x = (180/15)° [divide both sides by 15]
∴ x = 12°
Now,
∠ABD = (4x+6)° [given]
={(4 . 12) + 6 }°
=(48+6)°
=54°
And,
∠DBC = (11x-6)° [given]
={(11 .12)-6}°
=(132 - 6)°
=126°