A fraction is less than 1. Choose a counterexample that will prove this conjecture false
1 answer:
Answer:
1st option
Step-by-step explanation:
Here we are trying to prove that not all fractions are less than 1. So we have to choose an example in which the fraction is more than 1.
1)
This fraction is greater than 1 hence it can prove that the conjecture is false.
2) ½ is lesser than 1 and will not prove that the conjecture is false.
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Answer:
Option B. 1 : 3
Step-by-step explanation:
There are two triangles shown in the picture attached ΔABC and ΔCD.
In these triangles sides AB and DE are parallel and BC is transverse line so ∠ABC = ∠EDC (corresponding angles)
Similarly AC is transverse to parallel lines AB and DE, so ∠BAC = ∠DEC (corresponding angles)
∠ACB is common in both the triangles.
Therefore ΔABC and ΔDEC are similar.
We know in similar triangles corresponding sides are in the same ratio.
Therefore ratio of y and 12 is equal to 3 : 1
Or ratio of 12 to y is 1 : 3
Option B is the answer.
