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3 years ago

M∠A+ m∠B = ? How do you know this?

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

Step-by-step explanation:

If m∠A + m∠B = m∠B + m∠C, subtract m∠B from both sides [ subtraction property of equality ].

We get that m∠A = m∠C and by the symmetric property of equality, m∠C = m∠A

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Write the equation in standard form for the circle that has a diameter with endpoints (- 1, 12) and (- 1, 8)

matrenka [14]

Answer:

The equation in standard form is $(x + 1)^{2} + (y - 10)^{2} = 4$

Step-by-step explanation:

The distance from (-1, 12) to (-1, 8) = 4 = diameter of the circle. So, 2 = radius

The center of the circle is at (-1, 10)

The equation in standard form is $(x + 1)^{2} + (y - 10)^{2} = 4$

3 0

3 years ago

A cyclist travelled 4 miles in 15 minutes. What is her average speed in mph?

avanturin [10]

Answer:

16 Miles/Hours

Step-by-step explanation:

Average speed is the total distance covered divided by the total time

In that case we have a distance of 4 miles

Time is 15 minutes and in order to convert from minutes to hours we divide by 60 and it becomes 0.25 hours

So 4/0.25 is 16 Miles/Hours

8 0

3 years ago

Why can't you use the product of powers rule to simplify this expression? Explain. 3^4•2^8

MAVERICK [17]

To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.

6 0

3 years ago

a boat costs $16600 and decreased in value by 14% per year. How much will the boat be worth after 11 years?

mr_godi [17]

The worth of boat after 11 years is $ 3159.3013

Solution:

Given that,

Boat costs $16600 and decreased in value by 14% per year

To find: Worth of boat after 11 years

The formula for decreasing function is given as:

$y = a(1-r)^t$

Where,

y is the value after "t" years

t is the number of years

a is the initial value

r is decreasing rate in decimal

From given,

a = 16600

t = 11

$r = 14 \% = \frac{14}{100} = 0.14$

Substituting the values we get,

$y = 16600(1-0.14)^{11}\\\\y = 16600(0.86)^{11}\\\\y = 16600 \times 0.1903\\\\y = 3159.3013$

Thus the worth of boat after 11 years is $ 3159.3013

4 0

3 years ago

The university police department keeps track of the number of tickets it write in a year. Last year the campus police wrote 1460

AlladinOne [14]

Answer:

Step-by-step explanation:

We are given that Ticket writing on campus follows a Poisson process.

Last year the campus police wrote 1460 tickets

So, $X \sim Poisson (1460 / year)$

1 year = 365 days

So, E(Y) = $\frac{1460}{365}=4$

So, the standard deviation of the number of tickets written per day by the campus police = $\sqrt{4} =2$

Hence the standard deviation of the number of tickets written per day by the campus police is 2

5 0

3 years ago