ABCDE ~ GHJDF. Complete the statements.

We know that the perimeter is at most 57 feet. We will call the length of each side with the variable 'x'. Each side is the same since it's an equilateral triangle.

The perimeter of the triangle is defined as '3x' because 3 times the side length of an equilateral triangle is its perimeter.

Since the perimeter is at most 57 feet, it can't be more than that. Therefore, we get the inequality 3x≤57.

This inequality is the same as saying the perimeter is less than or equal to 57 feet.

Now we solve.

3x≤57

Isolate 'x': 3x/3≤57/3

0<x≤19 is our answer.

The reason there is a "0<" added is because the side of a triangle can't be less than 0, that would be impossible.

Answer:

[tex]\dfrac{16}{225}[/tex].

Step-by-step explanation:

It is given that,

Number of red markers = 3

Number of blue markers = 5

Number of yellow markers = 3

Number of black markers = 4

Total markers = 3 + 5 + 3 + 4 = 15

Probability of getting a black marker is

[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]

[tex]P(Black)=\dfrac{4}{15}[/tex]

Probability of choosing two black markers if the first marker is put back before the second is drawn, is

Required probability [tex]=P(Black)\times P(Black)[/tex]  

                      [tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]

                      [tex]=\dfrac{16}{225}[/tex]

Therefore, the  probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].

Answer:

6x²-2=13

6x²=13+2=15( transposition method)

x²=15/6

x=√15/6

Answer:

It is the second one.

Step-by-step explanation:

6x²=17

x²=17/6

x=±sqrt(15)/6

Answer:

(5, 0) and (4, 0)

Step-by-step explanation:

According to the graph shown, the parabola passes trough the points (4,0) and (5,0). Therefore, they are the x-intercepts of the parabola.

Answer:

(4,0) and (5,0)

Step-by-step explanation:

The solutions of a parabola is when the parabola crosses the x- intercept.

Answer:

work is shown and pictured

yes

1.-3

2.3

3.10

4.2

5.3

Answer:

there are no answer choices

Step-by-step explanation:

sorry can't help

Answer:

18 students

Step-by-step explanation:

This is a division problem.

20 divided by 10/9

20/(10/9) =

= 20/1 * 9/10

= 180/10

= 18

Hey there!

Answer:

B. 3x + 4 ft.

Step-by-step explanation:

Remember that:

Perimeter of a rectangle: P = 2l + 2w

Given:

P = 8x + 8

w = x.

Plug the given information into the equation:

8x + 8 = 2l + 2x

Subtract 2x from both sides:

6x + 8 = 2l

Divide both sides by 2:

(6x + 8)/2 = 2l/2

3x + 4 = l.

Therefore, the length of the garden is:

l = 3x + 4 ft.

Answer:

Progression: 11, 18, 25

Rule: Add 7

Step-by-step explanation:

Given

List of numbers: 8, 11, 13, 18, 25, 37

Sample Progression: 8, 13, 18; with common difference of 5

Required

Form a different progression using any three listed numbers

To solve this; we'll make use of trial and error methods;

NB: I've tried several numbers; So, I'll just stick to the one that works

To start with;

Select ->11

Add 7 to 11: 11 + 7 - > 18

Add 7 to 18: 18 + 7 -> 25

With the above illustration, we've successfully used three numbers (11, 18 and 25) to form a new progression and the rule is to add 7

Answer:

326 kg

Step-by-step explanation: weight of the motorcycle: 237 kg

Mass of the rider: 89 kg

Total mass: 237+89:326 kg

Answer:

326 kg

Step-by-step explanation:

tbh im lazy to type it in i owe u a explanation

Answer:

B.

Step-by-step explanation:

The line is a dotted line, so the inequality is obviously going to be using either a > sign or a < sign.

The inequality is shaded above the dotted line, so we will use a > sign. That corresponds to Choice B.

Hope this helps!

The equation of the graph of inequality is y > 4x + 2.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

According to the question

Graph show the inequality  

As graph is having a doted line

as we know

The boundary line is dashed for > and <  in graph of an inequality

i.e

inequality will have either > or <  

Now ,

As we know according to the graph of an inequality

If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.

As area is shaded above the line

i.e it will have

>sign  in inequality

As per options

only option B is valid   which have  > sign in inequality .

Therefore,

the equation of the graph of inequality is y > 4x + 2.

Hence, the equation of the graph of inequality is y > 4x + 2.

To know more about graph of inequality here:

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Answer:

each person (including Alana) gets 25mL of water

Step-by-step explanation:

since there is 4 ppl, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water:)

Answer:

each person (including Alana) gets 25mL of water

Step-by-step explanation:

since there is 4 pepol, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water

━━━━━━━☆☆━━━━━━━

▹ Answer

8x - 3y - 9z

▹ Step-by-Step Explanation

(5x - y - 3z) + (3x - 2y - 6z)

Remove the parentheses

5x - y - 3z + (3x - 2y - 6z)

Collect like terms

8x - y - 3z - 2y - 6z

Final Answer

8x - 3y - 9z

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: 8x - 3y - 9z

Step-by-step explanation:

(5x - y - 3z) + (3x - 2y - 6z)

Remove Parenthesis

5x - y - 3z + 3x - 2y - 6z

Add Like Terms

8x - 3y - 9z

Answer:

There are 360 such numbers.

Step-by-step explanation:

The number of 6-digit numbers, formed using each digit from 1 to 6 excactly once, means we can have numbers like

123456, 123465, 123546,123564,.... 654321

The number of such numbers is given by 6! because we have a choice of 6 numbers for the first digit, 5 left for the next, ... until the last digit has only one choice.

6! = 6*5*4*3*2*1 = 720

We know that 1+2+3+4+5+6 = 21 is divisible by three, so all 720 numbers are divisible by 3.

However, to be divisible by six, we need a number divisible by three AND divisible by two.

Thus, out of the 720 numbers, we need count only the even numbers, which are exact half of the 720, or 360.

Therefore there are 360 6-digit numbers, formed using each digit from 1 to 6 exactly once, are divisible by 6.

Answer:

360 numbers

Step-by-step explanation:

6-digit  numbers => the numbers have the form abcdef

f  3 values, f = {2; 4; 6}

a  5 values;   b  4 values, c  3 values,  d   2 values,   e  one value,

=> 5 * 4 * 3 * 2 * 1 * 3 = 360 numbers

Answer:

for the first one ‘x‘: x = -3/2 y -3

for the first one ‘y’: y = -2/3x-2

for the second one ‘x’: x= 2/3 y + -22/3

for the second one ’y’: y = 3/2 x + 11

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.

425 ÷ 68 = 6.25

Answer:

It is [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

I got it right on my quiz!

Answer:

-25

Step-by-step explanation:

Essentially, y is your output and x is your input.

Here's your base equation: y = 2x + 5

Knowing the information above, let's plug it in:

-45 = 2x + 5

(Subtract 5 from both sides)

-50 = 2x

(Divide both sides by 2 to isolate x)

-25 = x

And there you go.

Answer:

input is -25

Step-by-step explanation:

y = 2x + 5

The output is -45 which is y

-45 = 2x + 5

Subtract 5 from each side

-45-5 = 2x

-50 = 2x

Divide each side by 2

-50/2 = 2x/2

-25 = x

Answer:

[tex] x \: \sqrt[5]{ {y}^{5} } [/tex]

Step-by-step explanation:

[tex] \sqrt[5]{ {x}^{5} {y}^{5} } \\ \\ = ({x}^{5} )^{ \frac{1}{5} } \sqrt[5]{ {y}^{5} } \\ \\ = {x}^{5 \times \frac{1}{5} } \times \sqrt[5]{ {y}^{5} } \\ \\ = x \: \sqrt[5]{ {y}^{5} } [/tex]

C--254 miles behind truck B

Answer: 1-p

Step-by-step explanation:

Let's put this in numbers! If Henry had a 1/5 (p=1/5) chance of winning the raffle, then in order to find that chance he will not win is easy! We would do 1-1/5. So if we go back to the problem with the variable p, we can see tha the answer is 1-p.

Step-by-step explanation:

7^3/4=

[tex] \sqrt[4]{7 {}^{3 \\} } [/tex]

=

[tex] \sqrt[4]{343} [/tex]

It can be understood from below that Option A for Spread and Option D for Center is the correct answer.

Center describes a typical value of a data point. Two measures of center are mean and median.

Spread describes the variation of the data. Two measures of spread are range and standard deviation.

In the graph we can see that the hourly earnings are more spread out in Career B and

Career B has greater median hourly earnings than Career A.

Therefore Option A for Spread and Option D for Center is the correct answer.

To know more about Center and Spread

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Answer:

A and D

Step-by-step explanation:

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

                                                [Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

Answer:

100 miles

Step-by-step explanation:

Relative Speed: 60+40=100 mph

you can think that one train is stationary,another one is 100 mph

so one hour before the train pass each other，the distance is 100 miles

The amount raised by Akeelah is x, by Barika is x- 2.60, and by James is 2x- 5.20.

If we analyze it via steps,

We first take the value we know, that is the amount raised by Akeelah that is x. So if Barika is 2.60 less than Akeelah we will numerically express the equation as x-2.60.

Then we look at the amount raised by James it says that it is twice as much as Barika, we numerically express that as

2(x- 2.60) = (2.x) - (2 . 2.60) = 2x -5.20 (simpler form)

If we want to find out the amount we can even do so by adding the amount raised by Barika, Akeelah, and James. We numerically express that as x + (x-2.60) + (2x-5.20) . This equation will be equal to the total value given as the amount raised by all three which is $76.23.

So, By the Problem,

x + (x-2.60) + (2x-5.20) = 76.23

=> 4x - 7.80 = 76.23

=> 4x = 68.43

=> x = 68.43/4

=> x = 17.11

Therefore, Akeelah raised x = $17.11

Barika raised x-2.60 = $14.51

James raised 2x -5.20 = $29.02

Learn more about algebra:

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Answer:

The exact solution for this equation would be (2.222, -11.889)

Step-by-step explanation:

Since it told us to use a graphing calculator, I went on to desmos graphing calculator, typed in the equation, then I found out where the two line intersect, and then that was the answer.

Answer:

Consider the system of equations given in slope-intercept form.

y = −1

3

x + 17,

y = 5x - 23

The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?

(7.5, 14.5)

Step-by-step explanation:

edge 2020

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

Answer:

B. The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Assuming that this is the one on edge, it should be this answer!

Answer:1,3,5,7,

Step-by-step explanation:

When you are dilating the perimeter grows by the scale factor, and when you are dilating the area, it grows by the scale factor squared(16).

Answer:

1,3,6,7

Step-by-step explanation:

Edgy 2022

Answer

The answer is A (-1)

Step-by-step explanation:

Got it right on quiz