Answer:
dividing both the numerator and denominator
a. 3 : 24 = 9 : 72
multiply by 3
b. 10 : 18 = 5 : 9
divide by 2
c. 6 : 6 = 36 : 36
multiply by 6
2/6 and 4/12:;
1/3*2= 2/6
2/6*2 = 4/12
If you reduce these fractions, you will find that they are both equivalent to 1/3.
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
Answer:
Ethan can type 12 pages before the meeting starts.
Step-by-step explanation:
Given:
Number of pages he can type =2
Number of hours he can type 2 pages = 
We need to find number of pages he can type in 
Solution:
Now first we will find number of pages in 1 hour
So we can say;
In = 2 pages
In 1 hour = number of pages he can type in 1 hour
By Using Unitary method we get;
number of pages he can type in 1 hour = 
Now we can say that;
In 1 hour = 16 pages
So = number of pages he can type in
Again By using Unitary method we get;
number of pages he can type in = 
Hence Ethan can type 12 pages before the meeting starts.
Zoom factor will be the number to prove they’re the same
