Answer:
- 10) 57.6
- 11) 27.3
- 12) 12.75
- 13) 10
- 14) 14
- 15) 5
Step-by-step explanation:
- <em>If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.</em>
<u>Using the above we find the value of x</u>
10.
- x/48 = 30/25
- x/48 = 6/5
- x = 48*1.2
- x = 57.6
11.
- x/ (49 - 28) = 36.4/28
- x/21 = 9.1/7
- x = 21*9.1/7
- x = 27.3
12.
- (2x + 6)/36 = 52.5/60
- (x + 3)/18 = 7/8
- x + 3 = 18*7/8
- x + 3 = 15.75
- x = 12.75
13.
- (x - 3)/21 = (x - 1)/27
- 9(x - 3) = 7(x - 1)
- 9x - 27 = 7x - 7
- 9x - 7x = 27 - 7
- 2x = 20
- x = 10
14.
- (2x + 5)/22 = (x + 10)/16
- 8(2x + 5) = 11(x + 10)
- 16x + 40 = 11x + 110
- 16x - 11x = 110 - 40
- 5x = 70
- x = 14
15.
- (7x - 11)/(4x - 2) = 20/(35 - 20)
- (7x - 11)/(4x - 2) = 4/3
- 3(7x - 11) = 4(4x - 2)
- 21x - 33 = 16x - 8
- 21x - 16x = 33 - 8
- 5x = 25
- x = 5
Answer:
30cm
Step-by-step explanation:
area of a Trapezium = 1/2()a+b)h
a and b are the two sides
h is the height
Given
Area = 400 cm^2
a =20cm
h = 16cm
Required
b
Substitute
400 = 1/2(20+b))*16
800 = (20+b)*16
800/16 = 20 + b
50 = 20 + b
b = 50-20
b = 30cm
Hence the length of other side is 30cm
Answer: the first question is 9 -3/2y and the second one is 31 - 7y
Step-by-step explanation:
on the first one you move the variable to the right and divide by 2 and on the second one you can only move the variable to the right because you don’t know x to solve the entire equation! hope this helps
Answer:
1/2
Step-by-step explanation:
1 1/3+(-5/6)
1 1/3=4/3
4/3+(-5/6)
4/3-5/6
8/6-5/6
3/6
simplify
1/2
Answer:
48 : 42
Step-by-step explanation:
1. Whatever you do to one side of the ratio you do to the other.
2. If there are 42 forks, then the ratio then looks like this: x : 42
3. One side of the ratio was multiplied by six.
4. Do the same to the other and you get 48 : 42
Hope this helps ~
