Answer:
m(∠y) = 64°
Step-by-step explanation:
From the figure attached,
m(∠e) = 90°
m(∠b) + 67° = 180° [Linear pair of angles]
m(∠b) = 180 - 67
= 113°
m(∠c) + 75° = 180° [Linear pair of angles]
m(∠c) = 105°
m(∠a) = m(∠d)
By the property of a polygon,
Sum of the interior angles of a polygon is given by,
Sum of interior angles = (n - 2) × 180°
Here, n = number of sides of the polygon
For n = 5,
Sum of interior angles = (5 - 2)×180°
= 540°
m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°
2m(∠d) + 113° + 105° + 90° = 540°
2m(∠d) + 308 = 540°
2m(∠d) = 540 - 308
m(∠d) = 116°
m(∠d) + m(∠y) = 180°
m(∠y) + 116° = 180° [Linear pair of angles]
m(∠y) = 64°
Answer:
C
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Since, triangle ABC is the enlargement of triangle XYZ.
So, corresponding sides of both the triangles would be in proportion.
Answer:
(0,4) and (-2,0)
Step-by-step explanation:
y=3x²+4x+4
y = -2x +4
3x²+4x+4 = - 2x +4
3x²+6x=0
3x(x+2)=0
x=0, x= -2
x=0, y=-2x+4= -2*0 + 4 =4, (0,4)
x= - 2, y = 2x + 4= 2*(-2) +4=0, (-2,0)
Answer:
Let say 75% of cars older than age = Y years
than 25 % cars of age less than Y Years
Z score corresponding to 25 % = -0.674
Z score = (Value - Mean) /SD
Value = Y
Mean = 8
SD = 3.2
Z score = -0.674
-0.674 = (Y - 8)/3.2
=> Y =5.84 Years
=> Y ≈ 5.9 Years
Approximately 75% of cars driven by company employees are older than about 5.9 years
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