Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
x - 3y = 6 → (1)
2x + 2y = 4 → (2)
Rearrange (1) expressing x in terms of y by adding 3y to both sides
x = 6 + 3y → (3)
Substitute x = 6 + 3y into (2)
2(6 + 3y) + 2y = 4 ← distribute and simplify left side
12 + 6y + 2y = 4
12 + 8y = 4 ( subtract 12 from both sides )
8y = - 8 ( divide both sides by 8 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 6 + 3(- 1) = 6 - 3 = 3
Solution is (3, - 1 )
x = 44°
Step-by-step explanation:
Since AB is a diameter,
arcAC + arcCB = 180
92° + arcCB = 180
or
arcCB = 88°
ArcCB is the intercepted arc and by definition, the inscribed angle x is half the measure of the intercepted arc. Therefore,
x = (1/2)arcCB
= 44°
Answer:
x=71
Step-by-step explanation:
(Base angle of an isosceles triangle)
Answer:
try using the cosine law. you have two lengths and an angle. get the value of f ( which is side length opposite to angle F)
the use sine law to get the angles. then pick the smallest angle
Answer: I would post the answers in comment am unable to add the answer.
Step-by-step explanation:
1.F is the midpoint of AC, angle AFE = angle CFD and DF = EF (Given)
2.angle AFD = angle CFE ( A midpoint divides a segment into two congruent segments.)
3.angle DFE = angle DFE (Reflexive property)
4.angle A = angle C (Congruent angles subtracted from congruent angles form congruent angles )
