Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m
= 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m
= 48°
∴ m
= 2 × 48° = 96°
m∠AEF = (1/2) × m
m
+ m
= 360° (angle round a circle)
∴ m
= 360° - m
= 360° - 96° = 264°
m
= m
+ m
∴ m
= m
- m
= 264° - 175° = 89°
m
= 89°.
Answer:
105
Step-by-step explanation:
Area of a trapezoid is given by the formula:
A = (a+b)÷2×h
(where h is the vertical height, and a and b are the parallel lines)
Substituting values given gives us:
A = (6+15)÷2×10
A = 21÷2×10
A = 10.5×10
A = 105
Units will be m² as this is area.
The correct option is fourth option
Explanations:
From the data, re-arranging in ascending order, the median of the data is 58.
The upper quartile is 62, while the lower quartile is 54
From the options, only the 4th options represent a box plot of median 58, upper quartile of 62 and lower quartile of 54. This makes it the correct option
Option D:
is the solution
Explanation:
The given expression is 
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for the variable x.
Thus, we have,

Adding both sides of the expression by 1, we get,

Dividing both sides of the expression by 3, we get,

Thus, the solution of the expression is 
Hence, Option D is the correct answer.
Answer:
1 option is correct nd your answer is also correct