Please help ASAP! Is angle BAD less than, greater than, or equal to 90 degrees? Explain why. What about angle BCD?
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9514 1404 393
Answer:
- ∠BAD < 90°
- ∠BCD > 90°
Step-by-step explanation:
Angle BAD is an inscribed angle, so is half the measure of the arc it intercepts. Chord BD is on the far side of the circle's center from vertex A, so the arc intercepted by angle BAD is less than 180°. This means angle BAD is less than 180°/2 = 90°.
∠BAD < 90°
__
Angles BAD and BCD are supplementary, so if one is less than 90°, the other must be greater than 90°.
∠BCD > 90°
Answer: I would say that it is equal to.
Step-by-step explanation: The angle in the bottom corner of the triangle is a right angle if you measure it with a protractor.
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Can you help me solve and describe the steps used to find x for the equation 2(x + 4) – 10 = 12
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Vcylinder=hpir^2
h=11
d/2=r
7.5/2=3.75=r
V=11pi3.75^2
V=11pi14.0625
V=154.6875pi
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V=485.96
round tenth
486.0 cm^3
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Answers
Answer:
Step-by-step explanation:
To find the number of child and adult tickets sold, we can use algebraic equations. Let's assume the number of child tickets sold is 'c' and the number of adult tickets sold is 'a'.
Given information:
Cost of child ticket: $6
Cost of adult ticket: $10
Total ticket sales: $600
1. Set up the equation for the total ticket sales:
6c + 10a = 600
2. We need to find a combination of 'c' and 'a' that satisfies this equation.
- Option 1: Let's assume all tickets sold were child tickets.
In this case, the equation becomes:
6c + 10(0) = 600
Simplifying, we get:
6c = 600
Solving for 'c':
c = 100
So, if all tickets were child tickets, 100 child tickets were sold.
- Option 2: Let's assume all tickets sold were adult tickets.
In this case, the equation becomes:
6(0) + 10a = 600
Simplifying, we get:
10a = 600
Solving for 'a':
a = 60
So, if all tickets were adult tickets, 60 adult tickets were sold.
- Option 3: Let's assume there were a combination of child and adult tickets sold.
We can try different values for 'c' and solve for 'a'.
For example, if we assume 'c' to be 50, the equation becomes:
6(50) + 10a = 600
Simplifying, we get:
300 + 10a = 600
Solving for 'a':
10a = 300
a = 30
So, if 50 child tickets and 30 adult tickets were sold, the equation is satisfied.
Therefore, there are multiple possible combinations of child and adult tickets sold that could result in $600 in ticket sales. The options are:
- 100 child tickets
- 60 adult tickets
- 50 child tickets and 30 adult tickets.
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Fill in the missing number
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The dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.
What is dot plot?
A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.
Since the width of each "bar" of dots is equal to the number of items in a certain class, a dot plot is similarly to a bar diagram.
We have:
A fair number cube with sides labeled from 1 to 6 is rolled 20 times.
Total number on, a fair number of cubes = 6
So the dot plot can be shown as:
1:4, 2:4, 3:0, 4:4, 5:4,6:4
There is a face with 3 has not rolled.
Thus, the dot plot will be 1:4, 2:4, 3:0, 4:4, 5:4,6:4 and there is a face with 3 has not rolled option second is correct.
Learn more about the dot plot here:
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