Answer:
5/3
Step-by-step explanation:
4 × x = (6×3+2)/3
---> 4x = 20/3
----> x = 20/12
----> x=5/3
Hope it helps
Answer:
ion know
Step-by-step explanation:
Answer:
The answers in order are:
slope-intercept form
slope of a line
y-intercept
Step-by-step explanation:
These are the definitions of the terms.
y=mx+b is called slope-intercept form because it contains the slope (m) and y-intercept (b)
slope of a line is change in y over change in x (steepness) which is m
y-intercept is point line intercepts y-axis and is b
Answer:
height = 9.28m
Step-by-step explanation:
Sum of angle in a triangle = 180°
To find the third angle, we have
180° = 71° + 62° + α
180° = 133° + α
α = 180° - 133°
α = 47°
To find the height use sine rule
h/sin47° = 12/sin 71°
h(sin71°) = 12sin47°
h = 12sin47° / sin71°
h = 12(0.7314) / 0.9455
h = 8.7768/0.9455
h = 9.28m
Answer:
The measure of the four angles are 30°, 60°, 120°, 150°
Step-by-step explanation:
Q 11.
The sum of the measures of the angle at a point is 360°
Let us use this fact to answer the question
→ Assume that m∠AOB is x°
∵ m∠AOB = x°
∵ m∠BOC is twice m∠AOB
∴ m∠BOC = 2x°
∵ m∠COD is 4 times m∠AOB
∴ m∠COD = 4x°
∵ m∠DOA is 5 times m∠AOB
∴ m∠DOA = 5x°
→ By using the fact above
∵ m∠AOB + m∠BOC + m∠COD + m∠DOA = 360°
∴ x° + 2x° + 4x° + 5x° = 360°
→ Add the like terms
∴ 12x° = 360°
→ Divide both sides by 12
∴ x = 30°
→ Substitute the value of x in each angle to find them
∵ m∠AOB = x°
∴ m∠AOB = 30°
∵ m∠BOC = 2x° = 2(30°)
∴ m∠BOC = 60°
∵ m∠COD = 4x° = 4(30°)
∴ m∠COD = 120°
∵ m∠DOA = 5x° = 5(30)
∴ m∠DOA = 150°
∴ The measure of the four angles are 30°, 60°, 120°, 150°
