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Mariana [72]
2 years ago
6

CD is tangent to circle A at point B.

Mathematics
1 answer:
Mrrafil [7]2 years ago
7 0

The measure of the angle m<ABD is 90 degrees

<h3>Circle geometry</h3>

Circle geometry is the measure of angles within a circle. From te=he diagram shown, we can see that CD is tangent to circle A at point B and a line tangential to c circle is at 90 degrees

Since we are to find the measure of M<ABD, hence the required mesaure of the angle will be 90 degrees

Learn more on circle geometry here: brainly.com/question/24375372

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Which equations support the fact that rational numbers are closed under subtraction? Select each correct answer
noname [10]

The rationals being closed under subtraction means that if we start with two rational numbers and subtract them, we get another rational number.  Choice c subtracts two rational numbers but gets the wrong answer, so isn't support for anything.  Choice b is rational too because the square root of 4 is 2.

Answer: b

8 0
3 years ago
A bacteria culture starts with 120 and after 3 hours the population consists of 200 bacteria. What is the rate of the increase t
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Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, Brett, set ou
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Answer:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone.  Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30.  Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

4 0
3 years ago
Which of the following situations can be described by the equation 2x – 4 = 10?
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Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

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3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

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