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3 years ago

In the figure, m || n and x || y. If the m...

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

105°

Step-by-step explanation:

m(15) = 75°

Also it's given that m||n . So taking y as transversal ,

m(15) = m(13) = 75°

Also it's given that x||y . So taking m as transversal ,

m(13) = m(5) = 75°

Now m(5) & m(1) are linear pair. So ,

m(5) + m(1) = 180°

=> 75° + m(1) = 180°

=> m(1) = 180° - 75°

= 105°

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The circumference of a circle is 24 feet. What is the approximate length of the radius? Round to the nearest tenth

jarptica [38.1K]

<h3>given:</h3>

circumference= 24 feet

the radius of the circle.

<h3>solution:</h3>

$c = 2\pi \: r$

$r = \frac{c}{2\pi}$

$r = \frac{24}{2 \times \pi}$

$r = 3.81972$

$r = 3.8 \: ft$

therefore, the radius of the circle is 3.8 feet.

4 0

2 years ago

Read 2 more answers

At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least

Lapatulllka [165]

Answer:

4 is the maximum number of ride tickets she can buy

Step-by-step explanation:

Here, r represents the number of ride tickets and f represents number of food tickets.

The system of inequalities is given as:

r+f\geq 16 ....[1]

4r+2f\leq 40 .....[2]

To solve Mathematically:

Multiply equation [1] by -2 we have;

-2r-2f \leq -32 .....[3]

Add equation [2] and [3] we have;

2r \leq 8

Divide both sides by 2 we have;

r \leq 4

Since r must be less than or equal to 4.

You can also see the graph of the given system of inequalities as shown below.

The intersection point is, (4, 12)

Therefore, the maximum number of ride tickets she can buy is, 4

3 0

3 years ago

A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.0

Agata [3.3K]

Answer:

Approximately 68%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1, standard deviation = 0.05.

Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.

0.95 = 1 - 0.05

1.05 = 1 + 0.05

So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.

5 0

3 years ago

4x-6 equals -2 algebraically

Angelina_Jolie [31]

Answer:

x=1

Step-by-step explanation:

4x-6= -2

+6=+6

4x=4

4 = 4

x= 1

3 0

3 years ago

The population of the United States was about 280 million in 2000 and about 310 million in 2010. What was the annual rate of cha

JulsSmile [24]

To find the annual rate of chnge, we have to use the following formula

$\frac{P(2010)-P(2000)}{2010-2000}$

P(2010) represents the population in the year 2010 and P(2000) represents the population in the year 2000 .

Substituting the values, we will get

$\frac{310-280}{2010-2000} = \frac{30}{10} = 3 \ million \ per \ year$

8 0

3 years ago

In the figure, m || n and x || y. If the m... ​

In the figure, m || n and x || y. If the m...