How would you simplify this equation?

What is the value of x? Enter your answer in the box. x =

Dmitry [639]

Hi there!

FACT:

What you have there is an equilateral in which all three internal angles are congruent to each other and are each 60°.

STEPS TO ANSWER:

I'm not really sure if you are looking for the value of "X" the angle or the value of "x" that is part of the expression that represents the value of the angle "Z".

1. If you are looking for the value of "X" the angle, it's pretty easy knowing that all internal angles are equal to 60°.

Your answer for the value of "X" the angle would be : X = 60°.

2. If you are looking for the value of the "x" that is part of the expression that represents the value of the angle "Z", you'll need to write this expression as equal to 60 and solve the equation by isolating "x" :

2x - 4 = 60

Add 4 on each side of the equation → 60 + 4 = 64

2x = 64

Divide each side of the equation by 2 → 64 ÷ 2 = 32

x = 32

Your answer for the value of the "x" that is part of the expression that represents the value of the angle "Z" would be : x = 32.

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

3 years ago

A pair of skis was discounted 20%. How many percent will the discounted price have to be increased to return to the original pri

denis-greek [22]

Answer:

25%

Step-by-step explanation:

Let the original price of A pair of skis be $100

discount given on A pair of skis = 20% on original price

discount value of A pair of skis in $ = 20% * $100

= (20 * 100)/100 = $20

discounted price of A pair of skis = original price - discount = 100 -20 = $80

in order to increase discounted price to original price of $100

there must be increase of $20 to discounted price which is $80

percentage increase on discounted price to return to the original price =

$(increased \ amount / discounted \ price) * 100 \\=>( 20/80) * 100 = 25\\$

therefore 25% must be increase on discounted price to return to the original price

6 0

3 years ago

A parks and recreational board in Birch County is interested in estimating the proportion of its residents in favor of having mo

ankoles [38]

Answer:

B.

Step-by-step explanation:

Trust me.

I just did it.

5 0

3 years ago

Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8

morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² = (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection of the claim that the distribution of the sample agrees with the distribution of the state populations.

3 0

3 years ago

Some questions have the form y = kx, where k is a number. Drag each question to the correct category below. ( X = y/2 ),( y = .1

fomenos

Answer:

Has the form y = kx

( y = 0.11x)

(y = 0.04x)

Can be put into form y = kx

(z/x = 9)

Other

(5 = xy)

( x = y/2)

Step-by-step explanation:

y = kx

( y = 0.11x)

(y = 0.04x)

kx = y

(z/x = 9)

-----------

( x = y/2 )

( x - 5 = y)

(5 = xy)

8 0

3 years ago