Name: , Afigure is shown, where lines AB and CD intersect at point EWhat is the measure, in degrees, of angle AEC?110.2. Which number represents the probability of an event that is very likely to occur?A. 0.10B. 1.75C. 0.93D. 0.063. Jerry draws a circle with a diameter of 9 inches. What is the area of the circle? square inches4. At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 15%. The expression 0.85x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?A. 0.15xB. x−15C. AB0D. AB15. The ratio of boys to girls in the AB2 grade is AB3. There are 64 boys in the AB2 grade class. How many girls are in the AB2 grade class? girls
Q. Name: , Afigure is shown, where lines AB and CD intersect at point EWhat is the measure, in degrees, of angle AEC?110.2. Which number represents the probability of an event that is very likely to occur?A. 0.10B. 1.75C. 0.93D. 0.063. Jerry draws a circle with a diameter of 9 inches. What is the area of the circle? square inches4. At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 15%. The expression 0.85x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?A. 0.15xB. x−15C. AB0D. AB15. The ratio of boys to girls in the AB2 grade is AB3. There are 64 boys in the AB2 grade class. How many girls are in the AB2 grade class? girls
Angle AEC Measurement: For the angle AEC, since it's given as 110 degrees, the measure of angle AEC is directly provided.
Probability of Event: For the probability of an event that is very likely to occur, the options are A. 0.10, B. 1.75, C. 0.93, D. 0.06. The correct answer is C. 0.93, as probabilities range from 0 to 1 and 0.93 is close to 1, indicating high likelihood.
Area of Circle Calculation: To find the area of a circle with a diameter of 9 inches, use the formula A=πr2. The radius r is half of the diameter, so r=29=4.5 inches. Then, A=π(4.5)2=π(20.25)≈63.62 square inches.
Discounted Price Expression: For the discounted price of the hat, the expression 0.85x is given. The correct expression that also describes this is D.x−0.15x, which simplifies to 0.85x.
Number of Girls Calculation: To find the number of girls in the 7th grade class with a boy to girl ratio of 4:5 and 64 boys, set up the proportion 54=g64, where g is the number of girls. Solving for g gives g=(45)∗64=80 girls.
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