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:
-5
Step-by-step explanation:
7−12
=7−12
=7+−12
=−5
Answer:
60
Step-by-step explanation:
write 120 like this: 120/2
Then just multiply the numerators.
Which gets you 120/2.
Then change it it to a mixed fraction which is 60.
Answer:
72
Step-by-step explanation:
Based on the table, the left and the right side have a pattern. When 3 is added to the left side, the right side is multiplied by 6. Since 12 multiplied by 6 is 72, the missing number is 72.
Answer:
y = 1/4x -8
Step-by-step explanation:
First find the slope of the line
x-4y =3
Subtract x from each side
x-4y -x = -x+3
-4y = -x+3
Divide each side by -4
-4y/-4 = -x/-4 +3/-4
y = 1/4 x -3/4
This is in the form y= mx+b where the slope is m and the y intercept is b
The slope is 1/4
We want the same slope
y = 1/4x +b
we know the y intercept is -8
y = 1/4x -8