la200564
04.06.2020 •
Mathematics
Use the expression to answer the question. 2 and 4-fifths plus 1 and 3-fourths What is the sum of the two mixed fractions? No explain.
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Ответ:
The expression which represent the value of y is ( option b )
Step-by-step explanation:
Given as figure :
Right angle Triangle BDC with right angle at D having
BD = y
DC = w
CB = x
And Triangle CBA with right angle at B having
BA = v
AC = AD + DC = z + w
CB = x
Now from Δ BDC
Pythagoras Theorem
BC² = CD² + DB²
Or, x² = w² + y² ...1
From Δ CBA
AC² = CB² + BA²
Or, ( z + w )² = x² + v²
Or, z² + w² + 2 z w = x² + v² ...2
From Δ BDA
AB² = BD² + DA²
Or, v² = y² + z² ....3
From eq 1 and eq 2
z² + w² + 2 z w = w² + y² + v²
Or, z² + (w² - w² ) + 2 z w = y² + v²
Or, z² + 2 z w = y² + v²
Or, eq
z² + 2 z w = y² + y² + z²
Or. z² - z² + 2 z w = 2 y²
Or, 2 z w = 2 y²
∴ y² = zw
I,e y =
Hence The expression which represent the value of y is ( option b ) Answer