given 2 parallel lines and a transversal that intersects both parallel lines what must be true about pairs of corresponding angl
1 answer:
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When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
=
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!
Start with
We observe that both fractions are not defined if . So, we will assume
.
We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:
We multiply both sides by :
We move everything to one side and solve the quadratic equation:
We check the solution:
which is true
