Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. What must the third segment be to be able to create a triangle?
Group of answer choices

15

14

16

12

Answer:

Step-by-step explanation:

1/2 of 9

" of " in math means multiply

1/2 * 9 = 9/2 or 4 1/2 or 4.5

Final answer:

The 5 in 11.205 is in the thousandths place and represents 0.005, while the 5 in 5.32 is in the units place, representing 5. The 5 in 5.32 is one thousand times the value of the 5 in 11.205, and vice versa.

Explanation:

The relationship between the 5 in 11.205 and the 5 in 5.32 can be described in terms of their place values. In the number 11.205, the 5 is in the thousandths place, which means it represents 5 thousandths or 0.005. In the number 5.32, the 5 is in the units place, which means it represents 5 ones or simply 5.

To compare their values, we can say that the 5 in 5.32 is one thousand times the value of the 5 in 11.205 because 5 divided by 0.005 equals 1000. Alternatively, we could say the 5 in 11.205 is one thousandth the value of the 5 in 5.32.

These comparisons are based on the understanding of place value in decimal numbers, where each position to the left or right of the decimal point represents a power of 10. Therefore, the value of a digit is determined by its position relative to the decimal point.

Answer:

1=R, 2=O, 3=A, 4=D

Step-by-step explanation:

The values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal and we are asked to find the value of x and y.

We are given that angle A = 3y angle B = 3x , angle C = y + 78 and angle D = 4x - 21

Now as we know that the opposite angles are going to be equal.So,

angle A = angle C

3y = y + 78

2y = 78

y = 39

So, the value of y is going to be 39 degrees.

Similarly, we can also find the value of x.

angle B = angle D

3x = 4x - 21

-x = -21

x = 21

So, the value of x is going to be 21 degrees.

Hence, the values of x and y needs to be 39 degrees and 21 degrees respectively to show that ABCD is a parallelogram.

Answer:

[tex]y = -\frac{1}{2}x -\frac{5}{2}[/tex]

Step-by-step explanation:

We are given;

We are required to determine the equation of the line;

Taking another point (x, y)

Then; (x, y) , ( 3, -4) and slope -1/2 can give us the equation;

That is;

[tex]\frac{y+4}{x-3}=-\frac{1}{2}[/tex]

Cross multiplication;

[tex]2(y+4) = -1 (x-3)[/tex]

[tex]2y + 8 = -x +3[/tex]

Combining the like terms;

[tex]2y=-x-5\\y = -\frac{1}{2}x-\frac{5}{2}[/tex]

Thus, the equation of the line is; [tex]y = -\frac{1}{2}x -\frac{5}{2}[/tex]

Answer:

s=25

Step-by-step explanation:

8(5s-13)-16(2s+6)=0

40s-104-32s-96=0

40s-32s-104-96=0

8s-104-96=0

8s-200=0

8s=0+200

8s=200

s=200/8

s=25

Answer: s=25

Step-by-step explanation:

1.[tex](-7,-3)[/tex]

2.[tex][5,\alpha )[/tex]

3.[tex](-4,-\alpha )[/tex]

4.[tex](-1,0)[/tex]

Explanation

a shaded circle in number line indicates that the number in the shaded point is also included in the interval. In the interval notation this limit is expressed using a square bracket.

A circle that is not shaded in a number line indicates that the number is not included in the interval. In interval notation a bracket is used to represent that point on the number line.

An arrow shows the extension to negative or positive infinity. The symbol [tex]\alpha[/tex] is used to represent infinity and is always included in bracket.

Answer:

Step-by-step explanation:

each side is 21 inches long.

4x+3=21

subtract 3 from both sides

4x=18

x=4.5

Answer:

4.5

Step-by-step explanation:

Since its an equilateral triangle, all the sides are equal.

SO, you can set up the equation:

3 ( 4x + 3 ) = 63

Start by disributing

12x + 9 =63

Subtract 9 from each side to isolate the variable

12x = 54

Divide both sides by 12

x = 4.5

Answer:

40

Step-by-step explanation:

Answer:

I have attached a graph of such a system. The two lines have the same slopes but different y-intercepts, this means the lines are parallel, and therefore the system of equations that they represent  has no solutions because the lines never intersect.

Going into your next question, there are three ways the system of equations can be classified: the ones that have a solution, with infinitely many solutions, with no solutions.

The graphs of the system of equations that have a solution intersect exactly at one point.

The graphs of the system of equations that have infinitely many solutions are mapped onto each other (are on top of each-other), and therefore have infinite points of intersection.

The graphs of the system of equations that have no solutions never intersect;  these are represented by lines that are parallel.

Hope this helps!

Answer:

Step-by-step explanation:

Provide problems and we're here to help.

Answer:

write the problem, decide whether you use add or sub.,add or sub. the constant on both sides, eliminate the coefficients of the variable, last solve for the variable.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total number on the trip is 24

Let the number of girls be x

Then the boys are x + 8

So... x + x + 8 = 24

2x + 8 = 24.......... This is the equation

2x = 24 - 8

2x = 16

x = 16/2

x = 8

Number of girls = 8

And number of boys = x + 8

Which is = 8+8 = 16

There were 8 girls and 16 boys on the trip.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Bradley and 23 of his classmates went on a trip to the aquarium.

∴ There are a total of 24 students.

There are 8 more boys than girls on the trip.

Assuming the no.of girls to be x, hence no. of boys is (x + 8).

So, x + (x + 8) = 24.

2x + 8 = 24.

2x = 16.

x = 8.

So, no. of girls on the trip is 8, and no. of boys on the trip is (8 + 8) = 16.

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Answer:

284

Step-by-step explanation:

when the number to the left is 5 and up then the number is rounded up

The round off is 284.

what is rounding off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

given number:

283.57

To round off nearest ones place we have to focus on the place value of tenth place.

If the number at tenth place value is greater than 5 then round off will be 284 otherwise if it less than 4 then the round off will be 283

hence, the rounding off is 284.

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Answer:0.6 cents

Step-by-step explanation:

2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

Step-by-step explanation:

Lets explain some important notes:

∵ 2 + 2 is the addition problem of two 1-digit numbers

∴ There sum will be 4 which is also 1-digit number

∴ 2 + 2 must be 4

∵ 22 is a two digit number

∴ Its value is 20 + 2 ⇒ not 2 + 2

∴ 2 + 2 can not be 22

2 + 2 = 4 because 4 is a sum of 1-digit numbers

2 + 2 ≠ 22 because 22 is the sum of 1-digit and 2-digit numbers

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Answer:

4/21

Step-by-step explanation:

1. distribute

24p-8+9=3p+6-1

2. combine like terms on each side

24p+1=3p+5

3. solve for p

21p=4

p=4/21

The given equation in standard form is:

[tex]3x+5y=7[/tex]

Step-by-step explanation:

Given equation is:

[tex]x = -\frac{5}{3}y+\frac{7}{3}[/tex]

The standard form of linear equation is:

[tex]Ax+By = C[/tex]

In order to convert the given equation in standard form

Multiplying both sides by 3

[tex]3x = -5y+7[/tex]

Adding 5y on both sides

[tex]3x+5y = -5y+5y+7\\3x+5y = 7[/tex]

Hence,

The given equation in standard form is:

[tex]3x+5y=7[/tex]

Keywords: Linear equation, variables

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A system of equations can be used to represent the situation. The system can be set up with x representing the price of a T-shirt and y representing the price of a pair of jeans.

To represent this situation, we can set up a system of equations. Let x represent the price of a T-shirt and y represent the price of a pair of jeans.

The first equation will be: 4x + 3y = 181, since Salazar bought 4 T-shirts and 3 pairs of jeans for $181.

The second equation will be: x + 2y = 94, since Jenna bought 1 T-shirt and 2 pairs of jeans for $94.

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Answer:

The solution of the system of equations is the point (1,2)

Step-by-step explanation:

It is required to solve the system of equations:

y= -3x + 5

5x - 4y = -3

So, substitute with y from the first equation at the second equation:

∴ 5x - 4(-3x + 5) = -3

Solve for x

∴ 5x + 12x - 20 = -3

∴ 17x = -3 +20 = 17

∴ x = 17/17 = 1

∴ y = -3 * 1 + 5 = -3 + 5 =2

So, the solution of the system of equations (1,2)

Another solution:

The give system of equations can be solved by graph both of them.

So, the solution will be the intersection between the lines.

See the attached figure.

Answer: total comes to 4X - 12Y + 4

Step-by-step explanation:

Answer:

7x - 4y - 8 -3x - 8y + 12

Step-by-step explanation:

7x - 3x = 4x

-4y - 8y = 12y

-8 + 12 = 4

4x - 12y + 4

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Answer:

The number of bags of cookies do they make together is 11 .

Step-by-step explanation:

Given as :

The number of cookies baked by Glen alone = x = 16 cookies

The number of cookies baked by Alice alone = y = 32 cookies

Let the number of cookies baked by both together = z cookies

Now, According to question

Number of cookies baked by both together = number of cookies baked by Glen alone + number of cookies baked by Alice alone

Or, [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{x}[/tex] + [tex]\dfrac{1}{y}[/tex]

Or,  [tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{1}{16}[/tex] + [tex]\dfrac{1}{32}[/tex]

Taking LCM

[tex]\dfrac{1}{z}[/tex] = [tex]\dfrac{2 + 1}{32}[/tex]

Or,  [tex]\dfrac{1}{z}[/tex] = [tex]\frac{3}{32}[/tex]

Or, z = [tex]\dfrac{32}{3}[/tex]

i.e z = 10.67 ≈ 11

So, The number of bags of cookies do they make together = z = 11

Hence, The number of bags of cookies do they make together is 11 . Answer

Answer:

0.8

Step-by-step explanation:

To calculate the cost of any item per pound, divide the cost of the item by its weight in pounds: cost ÷ pounds = cost per pound.

Hope This Helped!!

Answer:

0.8 is the unit price per pound

Step-by-step explanation:

If you divide the price ($16) by the amount (20 pounds) then you will get the unit price per pound (0.8)

So, 16 ÷ 20 = 0.8

Option d: reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Step-by-step explanation:

The parent function is [tex]f(x)=2^{x}[/tex]

The transformation function is [tex]g(x)=3(2)^{-x} +2[/tex]

In the transformed function, the function is added +2, which shifts the graph by 2 units up.

Also, the function is multiplied by 3, which stretches the function [tex]f(x)=2^{x}[/tex]  vertically by a factor of 3 units.

The variable x is multiplied by -1, such that the function reflects across y-axis.

Thus, the correct answer is option d.

The graph is attached below which shows the parent function and the transformed function.

The transformation function is reflect across the y-axis, stretch the graph vertically by a factor of 3, shift 2 units up.

Answer:

d

Step-by-step explanation:

The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:

[tex]a_n=3584(0.25)^{n-1}\\\\\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]

Solution:

Given that we have to find the explicit equation for nth term of geometric sequence

Given sequence is:

3584, 896, 224

A geometric sequence has a common ratio

Let us find the common ratio. Divide each term by the previous term.

[tex]r=\frac{896}{3584} = 0.25\\\\r = \frac{224}{896} = 0.25[/tex]

Thus the common ratio is 0.25

The formula for nth term of geometric sequence is given as:

[tex]a_n=ar^{n-1}[/tex]

Where,

[tex]a_n[/tex] is the nth term of sequence

a is the first term of sequence

r is the common ratio

Here in given sequence 3584, 896, 224

first term = a = 3584

common ratio = r = 0.25

Therefore,

[tex]a_n=3584(0.25)^{n-1}[/tex]

[tex]\text{Where } n\geq 1 \text{ ,n = 1, 2, 3, 4, .........}[/tex]

"n" is a natural positive number greater than or equal to 1

Thus the explicit equation to find nth term is found

The function that correctly represents the pattern in the given table is y = 2x + 1, which means that, for each input X, you multiply by 2 and then add 1 to obtain output Y.

The table of values given indicates a linear relationship between X and Y. If we look closely, we can see that for every unit increase in X, Y increases by 2 units. This pattern indicates that the function is characterized by the equation y = 2x + 1.

So, the correct answer is C) y = 2x + 1. This means that Y is twice the value of X plus 1. In simpler terms, we multiply the input variable (X) by 2 and then add 1 to determine the output (Y).

None of the other given function expressions correctly describe the pattern observed in the table.

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The expression for the function is y=2x. Y is double x.

The function that relates the values of X and Y in the given table is y = 2x. This means that the value of Y is twice the value of X. For example, when X=3, Y=6 because 2*3=6. This pattern holds true for all the other values in the table.

Option A) y= 2x is the correct expression for this function as it shows that Y is double X. Therefore, the answer to this question is A) y= 2x. Y is double x.

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Answer:

Step-by-step explanation:

The original amount there should be:

20 x 25 = 500

Take the extra 5 chairs and subtract it from the original amount, 500.

500 - 5 = 495  

Therefore, the amount of chairs that got set up would be 495.

I hope this helped! :)

Answer:

79.1 ft. I just took the test and got it correct. (:

To find the length of the guy wire attached to a cell phone tower, use the Pythagorean theorem to calculate the total length of the wire. In this case, the approximate length of the guy wire is about 79.06 ft.

The length of the guy-wire can be calculated using the Pythagorean theorem.

First, find the height of the guy-wire, which is the same as the height of the tower: 75 ft.

Next, use the Pythagorean theorem to find the length of the guy-wire: Guy-wire length = [tex]\sqrt{(752 + 252)}[/tex] = [tex]\sqrt{(5625 + 625) }[/tex]= [tex]\sqrt{6250}[/tex] = 79.06 ft (approximate).