1. reflection across the x-axis
2. shift right 1, shift up 7
3. vertical stretch by 2, shift left 4
4. reflection across the x-axis, vertical compression by 2/3, shift up 4
5. reflection across the x-axis, shift right 3, shift down 5
6. vertical compression by 1/2, shift down 3
From the diagram;
1. Angle 2 = ADB+BDH
= arcAB/2 +90
= 34 +90
= 124°
2. Angle 4= 90°,
Reason ; the angle between a tangent and a radius is equal to 90. A tangent is a line that touches the circumference of a circle once even if prolonged.
3. Angle 5 = 90 -BDC (note the acr subtends twice the angle it subtends on the circumference to the center.
= 90-arc BC/2
= 90-36
= 54°
4. Angle 6 = BFD
= 180-ADB-FBD
= 180-AB/2-DE/2
But DE = 180 -121 = 59
Therefore, BFD = 180 -34-29.5
= 116.5°
5. Angle 1 = 180- BFD (angles on a straight line add up to 180°)
= 180- 116.5
= 63.5°
6. Angle 3 = 180 -(ADB+BFD)
= 180 -(34 +116.5)
= 180- 150.5
= 29.5°
similarly angle 3 = DE/2 = 59/2 = 29.5°
7. Angle 8= 90, because BD is diameter;
angles subtended by a diameter to the circumference is always a right angle (90°)
8.Angle 7 = BE
but BE= AB+AE
= 68+ 53
= 121°
Answer:
7/4
Step-by-step explanation:
Answer:
50 inches.
Step-by-step explanation:
Let the length of the each ribbon was x.
Now, she cuts 9 pieces of same length L which means total length is 9L.
Now, doing the same she was left with 5 inches of ribbon. Hence, we have
[tex[9L+5=x.....(1)[/tex]
Similarly, we can write a equation for the second situation.
From equation 1 and 2,
Plugging this value in equation 1,
Therefore, the length of each ribbon when she bought them was 50 inches.
