SOLUTION: If a:b=c:d, then (ma+nc)/(mb+nd) is equal to ?.

SOLUTION: If a:b=c:d, then (ma+nc)/(mb+nd) is equal to ?.

Algebra.Com

Question 1095606: If a:b=c:d, then (ma+nc)/(mb+nd) is equal to ?.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
a:b = c:d �> a/b = c/d �> a/b = k (and also c/d = k)
a/b = k �> a=bk �> ma = mbk
c/d = k �> c =dk �> nc = ndk
Now take

and substitute for 'ma' and 'nc':

�
Ans:
�
Check: Say a/b = c/d = 3
now if a=6, b=2 and c=21, d=7 we get (m & n can be left symbolic):

RELATED QUESTIONS
{{{(sqrt(a^4+c^4))/(sqrt(b^4+d^4))=(ma^2+nc^2)/(mb^2+nd^2)}}} (answered by Alan3354)

For any positive number a,b,m,n satisfying the condition m/n = a /(a+b) the... (answered by THANApHD)

Complete the formal proof of the theorem. If two line segments are congruent, then their (answered by CPhill,ikleyn)

The ma angle is complementary to angle mb. The mc angle is complementary to the mb. If... (answered by Fombitz)

A and B are supplementary angles. mA is 6� less than twice mB. Find mA and... (answered by stanbon,MathTherapy)

RA/RB is equal to the square root of the inverse of MA/MB . Calculate RA/RB if MA = 29 (answered by ikleyn)

If a and b be two vectors and m be a scalar, then how can I show that... (answered by helpnalgebra)

A phone company has a monthly cellular data plan where a customer pays a flat monthly fee (answered by stanbon)

If the average of m numbers is y, and when x is added to the m numbers, the... (answered by flame8855)