Question

Really could use some help

Answer 1

Answer:

BC=4.8

DE=1.1

DF=1.6

Step-by-step explanation:

Since sides of similar triangles are proportional, I used this to calculate DE

$\frac{3.3}{de} = \frac{6}{2}$

Cross-multiply

$3.3 \times 2 = 6 \times de$

$\frac{6.6 = 6de}{6}$

$1.1 = de$

To solve for BC and DF

$\frac{6}{2} = \frac{bc}{bc - 2}$

BC-3.2=DE

Cross multiply

$6bc - 19.2 = 2bc$

$6bc - 2bc = 19.2$

as -19.2 is transferred to the opposite side od the equation, its value becomes opposite aswell (negative to positive)

$\frac{4bc = 19.2}{4}$

Simplify and divide both by 4

$bc = 4.8$

Since BC-3.2=DE, substitute BC with 4.8

$4.8 - 3.2 = de$

$de = 1.6$