Answer:
AC = 14 sqrt(2) = 19.80
Step-by-step explanation:
Below is the diagram showing you how this has been set up. The figure is a trapezoid which means BC and AD are parallel. AC is a transversal of the parallel lines.
Givens
- <ABC = <ACD
- ABCD is a trapezoid
- BC = 14
- AD = 28
- AC is a transversal of BC and AD
Solution
- <ABC = <ACD Given
- <DAC = <ACB Alternate interior angles.
- ΔACB ≅ΔDAC AA
- <BAC = <ADC Angles of similar triangles are equal
- AC /28 = 14/AC Form a proportion from corresponding sides
- AC*AC = 14 * 28 Cross multiply the proportion. Combine
- AC^2 = 392 Express as prime factors.
- AC^2 = 7*7*2*2*2 Take the square root of both sides
- sqrt(AC)^2 = sqrt(7*7*2*2*2)
- AC = 7*2 * sqrt(2)
- AC = 14 sqrt(2) = 19.80
Answer:
1.7 million in Northern Ireland
Step-by-step explanation:
Simply do the difference between the number of people in the UK, minus the number of people in everywhere else except northern Ireland. That is:
60.2 M - 50.4 M - 5.1 M - 3.0 M = 1.7 M
Answer:
Mark has 18 shirts
Given that together they have 140 shirts.
x + 7x - 4 = 140
8x = 140 + 4
8x = 144
x = 144/8
x = 18
Joe has 122 shirts
7x - 4
7 × 18 - 4
126 - 4
= 122
You are correct! Good job! I started this using the washer method and found that it was much more tedious than using the shell method, which worked very well and very easily. Very good work!
