The scale of a map is 2 in = 7 feet. If the map distance is 11 inches what is the actual distance. Be sure to include label!

Can someone please help me and explain if you can

nadezda [96]

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

We are given the values of ∠4 $(-2x+94)$ and ∠8 $(-5x+139)$ .

Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also $-2x+94$ .
∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

$-2x+94=-5x+139$

Solve for x. Subtract 94 from both sides:

$-2x+94-94=-5x+139-94\\\\-2x=-5x+45$

Add 5x to both sides:

$-2x+5x=-5x+5x+45\\\\3x=45$

Divide both sides by 3:

$\frac{3x}{3} =\frac{45}{3} \\\\x=15$

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

$x=15\\\\-2(15)+94\\\\-30+94\\\\64$

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

$a+64=180$

a represents angle 6. Subtract 64 from both sides:

$a+64-64=180-64\\\\a=116$

Angle 6 has a measure of 116°.

:Done

4 0

3 years ago

Suppose that algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent us dollars) $6,844

IgorC [24]

The income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue and has a workforce of 9,416,534.

<h3>What is the income tax rate?</h3>

It is defined as the tax rate applied on the solely earned money by a single entity.

Algeria has a workforce of 9,416,534

Each entity average annual salary = $6,844

The raise in tax revenue = $ 9 bilion

To find the income tax rate we must find the total income of the workforce,

= 9,416,534×6844

= $64.45 billion

Now for income tax:

$\rm = \frac{Tax \ revenue}{Total \ income}$

$=\rm \frac{9 \ billion}{64.45 \ billion}\times 100$

≈ 14 %

Thus, the income tax rate is 14% if the Algerian government wishes to raise $9 billion in tax revenue.

Learn more about the income tax here:

brainly.com/question/17075354

3 0

2 years ago

Do I have this one right

IceJOKER [234]

Yeah,I'm sure you have it right. ;)

3 0

3 years ago

Read 2 more answers

An interior automotive supplier places several electrical wires in a harness.Apull test measures the force required to pull spli

oksano4ka [1.4K]

Answer:

a) For this case we can use the following R code to construct the qq plot

> data<-c(28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4)

# The above line is in order to store the data in a vector

> qqnorm(data, pch = 1, frame = FALSE)

# The line above is in order to calculate the quantiles from the data assumin Normal distribution

> qqline(data, col = "steelblue", lwd = 2)

# The line above is in order to put a line for the theoretical dsitribution

The result is on the figure attached.

b) For this case as we can see on the figure attached the calculated quantiles are not far from the theorical quantiles given byt the straaigth blue line so then we can conclude that the distribution seems to be normal.

Step-by-step explanation:

For this case we have the following data:

28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4

The quantile-quantile or q-q plot is a graphical procedure in order to check the validity of a distributional assumption for a data set. We just need to calculate "the theoretically expected value for each data point based on the distribution in question".

If the values are asusted to the assumed distribution, we will see that "the points on the q-q plot will fall approximately on a straight line"

For this case our distribution assumed is normal.

Part a

For this case we can use the following R code to construct the qq plot

> data<-c(28.8, 24.4, 30.1, 25.6, 26.4, 23.9, 22.1, 22.5, 27.6, 28.1, 20.8, 27.7, 24.4, 25.1, 24.6, 26.3, 28.2, 22.2, 26.3, 24.4)

# The above line is in order to store the data in a vector

> qqnorm(data, pch = 1, frame = FALSE)

# The line above is in order to calculate the quantiles from the data assuming Normal distribution (0,1)

> qqline(data, col = "steelblue", lwd = 2)

# The line above is in order to put a line for the theoretical distribution

The result is on the figure attached.

Part b

For this case as we can see on the figure attached the calculated quantiles are not far from the theorical quantiles given byt the straaigth blue line so then we can conclude that the distribution seems to be normal.

4 0

4 years ago

How to find out 4 x 754 by using two methods

baherus [9]

You can use expanded form: 4 X 700, 4 X 50, 4 X 4, = 3016.

You can use the Distributive Property of Multiplication: (4 X 500) + (4 X 254) = 3016.

4 0

3 years ago