-84.8 is with it rounded to the nearest tenth
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°
Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.
x= amount of broth in one serving
(4 3/4)/10= x/1
cross multiply
(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction
(19/4)(1)= 10x
19/4= 10x
divide both sides by 10
19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10
19/4 * 1/10= x
multiply numerators; multiply denominators
(19*1)/(4*10)= x
19/40 cup= x
ANSWER: 19/40 cup in one serving
Hope this helps! :)
Answer:
1455
Step-by-step explanation:
0.03% x 1500 = 45
therefore, 45 students were late
1500 - 45 = 1455 punctual
Answer: y = 2.50x
Step-by-step explanation:
X represents the number of tickets sold, and because each ticket costs $2.50, the expression would be 2.50x to find how much money is raised, which can be represented as y.
