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

In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.

vladimir2022 [97]

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

$\frac{zw}{6}= \frac{18}{24}\\
\\
ZW=6*\frac{18}{24}\\
\\
ZW=\frac{18}{4}\\
\\
ZW=4.5\\$

Hence ZW=4.5 Inches.

6 0

3 years ago

The average age of online consumers a few years ago was 24.1 years. As older individuals gain confidence with the Internet, it

love history [14]

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

H₀: The average age of online consumers is 24.1 years, i.e. μ = 24.1.

Hₐ: The average age of online consumers is more than 24.1 years, i.e. μ > 24.1.

Thus, the correct option is (C).

6 0

3 years ago

Max makes a scale drawing of distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 24.

NeTakaya

Answer:

Option D. 7/250 = 24.8/x; 885.71

Step-by-step explanation:

we know that

Using proportion

$\frac{7}{250} \frac{cm}{mi}=\frac{24.8}{x} \frac{cm}{mi}\\ \\x=250*24.8/7\\ \\x=885.71\ miles$

5 0

3 years ago

Please help Will mark Brainliest

Alchen [17]

Answer:

I'm pretty sure it's the last one !

Step-by-step explanation:

Good luck on your quiz!!

Hope you have a good day

:)

3 0

2 years ago

Find j(3x^4y^7) if j(n)=n^3

qaws [65]

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-(4*y-7)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve 3x-4y+7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000

y-intercept = 7/4 = 1.75000

Calculate the X-Intercept :

When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333

x-intercept = -7/3 = -2.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 1.500/2.000 = 0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = -7/3 = -2.33333

y-intercept = 7/4 = 1.75000

4 0

2 years ago