Math Is Fun Forum

One morning, each member of Angela's family drank an 8 ounce mixture of coffee with milk. The amounts of coffee and milk varied from cup to cup, but were never zero. Angela drank a quarter of the total amount of milk and a sixth of the total amount of coffee. How many people are in the family?

Show your work please!

Another problem:

Assume that

Find the value of

My fingers are dead!!

Odd.

The answer choices for (2) are (a) 30. (b) 90. (c) 450. (d) 600 and (e) 900. I think that the question for (2) also meant that Train A and B's destination are the same station that is 4 000 miles away.

Imagine triangle ABC. Draw an altitude from A to BC, and another one from C to BA. We'll call the place where A meets BC D and C meets AB E.

For (a)

Sue:

Isolating the bases and the altitudes gives

Multiply those 2 equations together and do a couple of operations to get

(b) Just repeat the process used on (a)

ok thanks.

For Q1: Since M is the midpoint of AD, we can draw the median for trapezoid ABCD that meets CD at N. We can also draw a height from A to DC, let that be Y and the intersection of MN and AY be X. Let AB=a and CD=b

EDIT: Now with Latex!

I don't know if you already thought of this, but can we also extend BD and AC to meet at point Q above AB, and then somehow use similar triangles to prove that what needs to be proven?

Thanks Bob. I realized that you could also do that by completing the square, then subtracting the same amount that you added

You get the idea... Need help with this, need help with that... blah blah bleh!

Triangle ABC is inscribed in equilateral triangle PQR, as shown. If PC = 3, BP = CQ = 2, and

In a triangle ABC, take point D on

Referring to phrontister's diagram, couldn't you just instead prove that

This problem though... Seems impossible

Interesting...