Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
c is the correct answer of this question
Answer:
214°
Step-by-step explanation:
The arc subtending an angle at the centre are equal, that is
arc ED = 90° and
arc DF = 360° - (90 + 146)° = 360° - 236° = 124°
Thus
arc EDF = arc ED + arc DF = 90° + 124° = 214°
Answer:
h = 10 + 8y
Step-by-step explanation:
Given that :
Height of ght if all alien at birth = 10cm
Growth rate per year = 8 cm
Let:
y = number of years since birth
h = alien's height in centimeter
Relationship between h and y
h = Initial height + (growth rate per year*number of years)
h = 10 + 8y
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