NEED THE ANSWER PLEASE
1 answer:
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°.
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Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
ED =
ED = 9.25 m
Height of the goalpost is 9.25 m.
Answer:
Final amount after 4 years will be $5518.
Step-by-step explanation:
From the given question Principal amount in the account of Stan = $4706
and we have to calculate amount after 4 years with 4% interest compounded quarterly.
Formula will be final amount
Here A' = $4706
t = 4 years
n = number of times compounded = quarterly that will be 4
r = .04
So the final amount after four years will be $5518.