All categories

1 year ago

∠EFG and ∠GFH are a linear pair, m∠EFG=3n+23, and m∠GFH=2n+32. What are m∠EFG and m∠GFH?

Mathematics

1 answer:

NARA [144]1 year ago

8 0

the measures of the angles are:

m∠EFG = 98°
m∠GFH = 82°

<h3>How to find the measures of the angles?</h3>

Two angles are a linear pair if their measures add up to 180°.

Then we will have that:

∠EFG + ∠GFH = 180

Here we know that:

m∠EFG=3n+23

m∠GFH=2n+32

Replacing that we get:

3n + 23 + 2n + 32 = 180

5n + 55 = 180

5n = 180 - 55 = 125

n = 125/5 = 25

Then the measures of the angles are:

m∠EFG=3n+23 = 3*25 +23 = 98°

m∠GFH=2n+32 = 2*25 + 32 = 82°

If you want to learn more about angles:

brainly.com/question/17972372

#SPJ1

You might be interested in

If h(x)=x^2-5x, g(x)=2x, f(x)=3x-2, what is h(f(g(x)))

Aleonysh [2.5K]

Step-by-step explanation:

start from f(g(x))

f(g(x))= 3(g(x)) -2

f(g(x))= 6x -2

h(f(g(x)))=(f(g(x)))² -5(f(g(x)))

h(f(g(x)))=(6x-2)² -5(6x-2)

h(f(g(x)))=36x²-24x+4-(30x-10)

h(f(g(x)))=36x²-24x+4-30x+10

h(f(g(x)))=36x²-54x+14

6 0

2 years ago

The formula used to convert temperature measurements from degrees Fahrenheit (F) to degrees Celsius (C) is shown below. What is

Andrei [34K]

Celsius = (Fahrenheit -32) * (5/9)
Celsius = (90 -32) * (5/9)
Celsius = (58) * (5/9)
Celsius = 32.22 degrees

Source:
http://www.1728.org/convtmp2.htm

7 0

3 years ago

What is the value of –16 (-5=23)?

Nadusha1986 [10]

Answer: i need points ty

Step-by-step explanation:

hhhhh

6 0

3 years ago

A study claims that college students spend an average of 4 hours or less studying per day. A researcher wants to check if this c

kirill115 [55]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

By observing the given information, we have :-

$H_0:\mu\leq4\\\\H_a:\mu>4$

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

We assume that the time spend by students per day is normally distributed.

Given : Sample size : n=121 , since n>30 so we use z-test.

Sample mean : $\overline{x}=3.15$

Standard deviation : $\sigma=1.2$

Test statistic for population mean :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$\Rightarrow\ z=\dfrac{3.15-4}{\dfrac{1.2}{\sqrt{121}}}\\\\\Rightarrow\ z=-7.79166666667\approx-7.79$

Critical value (one-tailed) corresponds to the given significance level :-

$z_{\alpha}=z_{0.1}=1.2816$

Since the observed value of z (-7.79) is less than the critical value (1.2816) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the college students spend an average of 4 hours or less studying per day.

4 0

2 years ago

A line passes through (2, 8) and (4, 12). Which equation best represents the line?

andrezito [222]

If you plug in the x values of both (2, 8) and (4, 12) into each equation, you'll find that y = 2x + 4 gives you the correct y values for both (2, 8) and (4, 12). So that is your answer.

6 0

3 years ago

Read 2 more answers

∠EFG and ∠GFH are a linear​ pair, m∠EFG=3n+23​, and m∠GFH=2n+32. What are m∠EFG and m∠​GFH?

∠EFG and ∠GFH are a linear pair, m∠EFG=3n+23, and m∠GFH=2n+32. What are m∠EFG and m∠GFH?