Answer:
mArc A B = 120° (C)
Step-by-step explanation:
Question:
In circle O, AC and BD are diameters.
Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.
What is mArc A B?
a)72°
b) 108°
c) 120°
d) 144°
Solution:
Find attached the diagram of the question.
Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x
From the diagram,
m Arc AOC = 180° (sum of angle in a semicircle)
∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)
x° +x° + x° =180°
3x = 180
x = 180/3
x = 60°
m Arc DOB = 180° (sum of angle in a semicircle)
∠AOB + ∠AOD = 180° (sum of angles on a straight line)
∠AOB + x° = 180
∠AOB + 60° = 180°
∠AOB = 180°-60°
∠AOB = 120°
mArc A B = 120°
Answer:
54 km
Step-by-step explanation:
The distance she covers would be equal to twice the perimeter of the park which is in the shape of a rectangle
perimeter of a rectangle = 2 x (length x width)
length = 4.5
width = 2 x 4.5 = 9
2 x (4.5 + 9) = 27km
In one walk, she covers a distance of 27km. In two walks, she covers a total distance of 27km x 2 = 54km
Answer:
4y
Step-by-step explanation:
To find the greatest common factor of 2 numbers, factor both of the numbers:
4: 1, 2, 4
12: 1, 2, 3, 4, 6, 12
The greatest factor here in both of these lists is 4. These numbers also both have a factor of y, so you multiply those together and get 4y.
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
Answer:
Step-by-step explanation:
Let 
= games played in total
From the fact that 
of the games the team played is equivalent to 
games, we can write:
∴ Lola's hockey team played a total of 20 games.
Hope this helps :)
