1.

The pair of figures is similar. Find x.Round to the nearest tenth if necessary.


A. 2.7 ft

B. 4.1 ft

C. 2.2 ft

D. 0.3 ft

Answer:

(D) The bottom graph, and (A) The top table.

Step-by-step explanation:

The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.

From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.

For table A:

x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1

x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0

x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2

x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3

Since the table matches up with the inputs and outputs of the table, it is a correct answer.

For table B:

x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5

x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7

x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9

x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11

x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13

5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.

Graph C:

Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.

Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.

x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.

But the x intercept doesn't match up as shown here.

y = 0 → y = x + 2 → (0) = x + 2 →

0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1

When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.

✓ Table A: y = x + 2

× Table B: y = 2x – 1

× Graph C: y = 2x + 2

✓ Graph D: y = x + 2

Answer:

C spinner with 7 equal sides

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

look at all the numbers then look at only the negatives which are 2 then count the positive ones which are 4 from those numbers you get 2/4 simplify it, and you get 1/2.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

mp-(m+2)

Step 2

(-6)(3)-((-6)+2)  Substitute m for -6 and p for 3

Step 3

(-6)(3)-((-6)+2)  Simplify

answer

-14

Hope this helps

Answer:

x is corresponding with the angle that equals 130 so it equals 130 too

Step-by-step explanation:

Answer:

An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

Step-by-step explanation:

A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.

The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.

We have centre (5,7) so, we have h = 5 and k = 7

We have radius = 2 so, r = 2

Putting values in the equation and finding the required equation:

[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]

So,  an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

Answer:

The x- and y-coordinates are switched.

Step-by-step explanation:

Given that:

Point L plotted by Raj is in a coordinate plane.

Point L is 1.5 units to the left and is 4 units up.

As per Raj, the point is (4, -1.5).

Kindly refer to the general coordinate plane diagram in the answer area.

The origin is at (0,0) which is our reference point for plotting any point.

When we move left on the coordinate plane from origin, the [tex]x[/tex] coordinate will decrease i.e. will become negative.

When we move right on the coordinate plane from origin, the [tex]x[/tex] coordinate will increase i.e. will become positive.

When we move down on the coordinate plane from origin, the [tex]y[/tex] coordinate will decrease i.e. will become negative.

When we move up on the coordinate plane from origin, the [tex]y[/tex] coordinate will increase i.e. will become positive.

Now, as per question statement, 1.5 units to the left.

i.e. [tex]x[/tex] = -1.5

4 units up.

i.e. [tex]y[/tex] = 4

Therefore, the point will be (-1.5, 4).

So, the answer is:

The x- and y-coordinates are switched.

Answer:

-x -y changed

lolololol

Step-by-step explanation:

Answer:

3 pages/minute

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

a hour is 60 minutes so half of that is 30 30÷90=3

Answer:

If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)

Answer:

4 and 4 away

Step-by-step explanation:

If you start at one on the number line and go to the right you'll end up on 4 because if you start from one and then add 3 that equals 4.

Now if you were to figure out how FAR he is away from 0 you have to start at for and figure out what number you have to minus 4 by to get zero which is 4 because 4-4=0

Hope this helps :)

Answer:

2

Step-by-step explanation:

To find out how big the wall is you do 32 times 9 which equals 288.

2 gallons of paint covers 300 feet. You will have left over but that is ok.

Answer: See explanation

Step-by-step explanation:

Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:

3x = 45

x = 45/3

x = 15

Therefore, 15 3-person team can be formed.

Answer:

see explanation-

Step-by-step explanation:

6 bagles is $2.50

and the the amount of bagles for $50 is 40 as 4*12 = 48

Answer:

1. $2.50

2. should be 120 bagels

Step-by-step explanation:

Answer:

Step-by-step explanation:

we will multiply first

-4x+16=12

-4x=12-16

-4x=-4

x=1

Step-by-step explanation:

Here is your answer

Hope it helps you

Answer:

Jay has $72

Step-by-step explanation:

$87-$15=$72

Answer: Jay has $72.

Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.

Answer:

For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.

Step-by-step explanation:

Answer:

a. not similar

b. similar, ABCDE ~ SRVUT, scale factor: 2

Step-by-step explanation:

Answer:

(x – 8)2 + (y – 10)2 = 36

Step-by-step explanation:I took the test

The equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be  

[tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where  [tex](h,k)[/tex]  is the center and  [tex]r[/tex]  is the radius.

We have,

The center at  [tex](8, 10)[/tex]  and radius is [tex]6[/tex] .

i.e.

[tex]h=8[/tex]

[tex]k=10[/tex]

[tex]r=6[/tex]

So, using the above given equation,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Putting the above values in this equation

We get,

[tex](x-8)^2+(y-10)^2=(6)^2[/tex]

i.e.

[tex](x-8)^2+(y-10)^2=36[/tex]

This is the equation of a circle which is derived using the above given equation.

Hence, we can say that the equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

To know more about equation of a circle click here

https://brainly.com/question/10618691

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Answer:

The answer would be 6

Answer:

median: 44

first quartile: 25

third quartile: 61.5

interquartile range: 36.5

Step-by-step explanation:

For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The given date set is 28,46,25,76,18,25,47,83,44.

The data in order 18,25,25,28,44,46,47,76,83.

Here,

Median =44

First quartile=Q₁=25

Third quartile=Q₃= (47+76)/2

= 61.5

Now, interquartile range (IQR)

= Q₃-Q₁

= 61.5-25

= 36.5

Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

Learn more about the interquartile range here:

https://brainly.com/question/4135956.

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Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Answer:

C

Step-by-step explanation:

Answer: C. The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°

Step-by-step explanation:

Picture

Answer: Y=105 Z=28

Step-by-step explanation: i believe these are correct.

Answer:

1.94 + 24x = 43.22 ;

1.72

Step-by-step explanation:

Given :

Cost of orange = 1.94

Pack of juice = 24

Total amount spent = 43.22

Cost of orange + (number of juice * cost per bottle) = total amount spent

Let cost per bottle = x

1.94 + (24 * x) = 43.22

1.94 + 24x = 43.22

24x = 43.22 - 1.94

24x = 41.28

x = 41. 28 / 24

x = 1.72

Answer: hope it helps!

Step-by-step explanation:

g/3 + 11=25

             - 11

g/3 = 14/3

g= 4.66666666667 (rounded to 5)

Answer:

$406

Step-by-step explanation:

Step one:

given data

Cakes and More baked 1,450 chocolate chip cookies

The bakery sold them in boxes of 25 cookies each

The number of boxes will be

1450/25

=58  boxes

Step two:

The cost per box is $7

hence the cost of 58 boxes will be

=7*58

=$406