Caution
I just finished doing this exact same problem. In nearly 4000 answers, I don't think that's ever happened. It's a great problem. Study it carefully but make sure you handle with care. Most area questions don't work this way.
Remark:
This problem will puzzle you greatly until you look at the diagram carefully.
Draw the diagram so that AC is on the horizontal and make it the longest line. This problem does not require that you have an accurate diagram.
Eyeball P so that it looks like it divides AC in such a way that PC is 2 units and AP is about 3 units. From B draw a line that is Perpendicular to AC. It shouldn't meet P otherwise you will get confused. Where the line from B hits AC label that point D. BD is perpendicular to AC.
What you need to know
BD is the height of both triangles. What does that mean? In practical terms it means that you can call the ratio of the areas 3/2
Ratio
Triangle ABP: Triangle BPC = x/14
3:2 = x:14 Change to a proportion
3/2 = x/14 Cross multiply
3*14 = 2x Combine
42 = 2x Divide by 2
42/2 = x Divide
21 = x
Conclusion One
The area of ABP = 21 square units.
Conclusion Two
Area ABC = Area ABP + Area CBP
Area ABC = 21 + 14 = 35
Nice problem. Be careful how you treat it. Usually these kind of ratio problems don't work this way.
Answer:
Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.
This is a similar triangle.
Step-by-step explanation:
Isosceles triangle is one in which two sides are equal.
Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.
Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.
The other choices given are not similar triangles because
1) they do not have all corresponding angles equal
2) their lengths are unknown and cannot be assumed to be in ratio.
In order to convert scientific notation to standard form, just move the decimal over however many places the exponent is. In this case you move it positively (to the right) 8 places to get 175,000,000
Hello,
7) A∪C={1,2,3,4,5,7,9}
8) A∩B={2,4}
C'= complement of C ={2,4,6}
9) A∪B∩C'={1,2,3,4,6,8}∩{2,4,6}={2,4,6}
10) A∪(B∩C')={1,2,3,4}∩{2,4,6}={1,2,3,4,6}
Are you blind?
27, u add them all up and divide that by the number of numbers u have