For top positions in both the Executive and Judicial branches, Presidential appointees to many positions including cabinet members and Supreme Court Justices must receive which of the following selections?
Select one:
A. the advice and consent of the U.S. Senate
B. the supremacy clause
C. necessary and proper oversight from the House of Representatives
D. a vote of no-confidence
Answers
the answer is A
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Explanation:
Given -
BE and CF are 2 equal altitudes.
To find -
That ∆ABC is an isosceles triangle.
Solution -
In ∆BCF and ∆CBE
→ \angle∠ BFC = \angle∠ CBE (Both 90°)
→ BC = BC (common)
→ FC = CB (Given)
\therefore∴ ∆BCF ≈ ∆CBE (RHS rule)
So,
\angle∠ FCB = \angle∠ ECB (CPCT)
Similarly -
AB = AC (Side opposite to the equal angles of a triangle are also equal)
\therefore∴ ∆ABC is an isosceles triangle.
Hence, proved!
Some more rules of a Triangle -
ASA rule
When 2 angles and one side of a Triangle are equal to the 2 angles and one side of another Triangle. Then Triangles are congurent.
SAS rule
When 2 sides and one angle of a triangle are equal to the 2 sides and one angle of another Triangle. Then Triangles are congurent.
SSS rule
If 3 sides of a Triangle are equal to the 3 sides of another Triangle. Then Triangles are congurent.
RHS rule
If in 2 right triangles the hypotenuse and one side of one Triangle are equal to the hypotenuse and one angle of another Triangle. Then Triangles are congurent.
AAS rule
- When 2 angles and one sides are equal to 2 angles and one side of a Triangle. Then Triangles are congurent.
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