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The value of AB = 36
<h3>What is an isosceles triangle?</h3>
An isosceles triangle is a triangle with base angles equal with any two sides equal.
Analysis:
∠ACB = 120
ABC is isosceles, so ∠CAB = ∠CBA = x
x + x + 120 = 180 ( sum of angles in Δ ABC)
2x = 60
x = 30
∠AMC = 180 - ∠BMC( angles on a straight line)
= 180 - 60 = 120
∠ACM = 180 - (30 + 120) = 180 - 150 = 30°
∠MCB = 90°
using sine rule,
12/sin 30 = AM/ sin 30
AM = 12
MB/sin 90 = 12/sin30
MB sin 30 = 12 sin 90
MB = 12/sin 30 = 12/0.5 = 24
AB = MB + AM = 24 + 12 = 36
Learn more about isosceles triangle: brainly.com/question/1475130
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Answer:
(0, - 3 )
Step-by-step explanation:
- 5x - 3y - 9 = 0 → (1)
4x - 18y - 54 = 0 → (2)
multiplying (1) by - 6 and adding to (2) will eliminate y
30x + 18y + 54 = 0 → (3)
add (2) and (3) term by term to eliminate y
34x + 0 + 0 = 0
34x = 0 ⇒ x = 0
substitute x = 0 into either of the 2 equations and solve for y
substituting into (2)
4(0) - 18y - 54 = 0
- 18y - 54 = 0 ( add 54 to both sides )
- 18y = 54 ( divide both sides by - 18 )
y = - 3
solution is (0, - 3 )
