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2 years ago

. A. 139 B. 147° C. 155 D. 157 PLEASE HELP ASAAAPP!

Mathematics

1 answer:

enyata [817]2 years ago

5 0

Answer:

$\huge\boxed{157 \ \ \text{degrees}}$

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

$23 + x = 90\\\\x = 90-23\\\\x = 67$

Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

$90+67=157$

Hope this helped!

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Sveta_85 [38]

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2 years ago

Which angle is supplementary to DFA?

lisabon 2012 [21]

Answer:

<AFB

Step-by-step explanation:

Supplementary angles are the angles that's sum up to 180° which is called a straight angle.

In this question we see AFB is supplementary to DFA for DFB is the straight angle.

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3 years ago

the temperature outside was 50 during the day and fell 16 at night. What was the temperature at night?

mamaluj [8]

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so 50-16=34

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7 0

3 years ago

Read 2 more answers

The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students

6 0

2 years ago

The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis

lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

$\hat{p} = \frac{x}{n}$

Where:

x represent the number of individuals with a specified characteristic.
n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

#SPJ1

8 0

11 months ago