Answer: B) BC=4 in.
Step-by-step explanation:
Given: In △ABC , AB=4 inch ,AC=4 in. , and m∠A=60°
⇒ AB=AC= 4 inches
⇒ △ABC is an isosceles triangle.
⇒ m∠A=60°=m∠B [angles opposite to the equal sides of a triangle are equal]
Now by angle sum property,
m∠A+m∠B+m∠C=180°
⇒60°+60°+m∠C=180°
⇒ m∠C=180°-120°
⇒ m∠C=60°
⇒ △ABC is an equilateral triangle.
⇒ BC= 4 inches [sides of an equilateral triangles are equal]
⇒ B is the right answer.
If we want to verify that g ( x ) is the inverse of f ( x ) we have to show that:
( f ° g ) = ( g ° f )
f ( g ( x ) )= 3 · ( 1/3 x ) = x
g ( f ( x ) ) = 1/3 · ( 3 x ) = x
Answer:
C ) 1/3 ( 3 x )
Step-by-step explanation:








The answer is D.
Answer:
c: plane ptm
Step-by-step explanation:
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD