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anoynomouskali4222
02.10.2020 •
Mathematics
A scientist mixes water (containing no salt) with a solution that contains 40% salt. She wants to obtain 240 ounces of a mixture that is 5% salt. How many ounces of water and how many ounces of the 40% salt solution should she use.
Water: ___ ounces
Salt solution: ___ ounces
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Ответ:
The proof is mentioned below.
Step-by-step explanation:
Here, Δ ABC is isosceles triangle.
Therefore, AB = BC
Prove: Δ ABO ≅ Δ ACO
In Δ ABO and Δ ACO,
∠ BAO ≅ ∠ CAO ( AO bisects ∠ BAC )
∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )
BO ≅ OC ( O is the mid point of BC)
Thus, By ASA postulate of congruence,
Δ ABO ≅ Δ ACO
Therefore, By CPCTC,
∠B ≅ ∠ C
Where ∠ B and ∠ C are the base angles of Δ ABC.