Given ∠11≅∠13. Which lines, if any, must be parallel based on the given information? Justify your conclusion.

Answer: 4,5,6,7,8

Step-by-step explanation:

Let the first integer be A; then the five consecutive integers are A, A+1, A+2, A+3, and A+4.

If the sum of the first three equals the sum of the last two, then A + (A+1) + (A+2) = (A+3) + (A+4)

Combining, 3A + 3 = 2A + 7 … A =4

The five Integers are thus 4, 5, 6, 7, and 8

The solution to the given system of linear equations is x = -2 and y = -8. That is, (-2, -8).

From the question, we are to determine the solution to the given system of linear equations.

The given system of linear equations is

y = 5x + 2         ---------- (1)

4x - y = 0          ---------- (2)

Substitute equation (1) into equation (2)

4x - y = 0

4x - (5x + 2) = 0

4x - 5x -2 = 0

-x -2 = 0

-2 = x

x = -2

Substitute the value of x into equation (1)

y = 5x+ 2

y = 5(-2) + 2

y = -10 + 2

y = -8

Hence, the solution is x = -2 and y = -8

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If 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, 8 cows can graze a field in 28 days.

Suppose x is the number of days required to graze the same field.

A proportionality relationship is one that has an inverse proportion. When two quantities are inversely related when one quantity rises, the other falls. The number of hours needed to construct a wall serves as an illustration of inverse proportion. By the inverse proportional relationship,

6:x :: 14:28

x=(28×6) / 14

x=2 × 6

x=12 days

Thus, if 8 cows can graze a field in 28 days as a result, 14 cows take 12 days to graze the same field.

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The option that must be true of triangle RST include:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

From the information illustrated in the triangle, R > S + T. It should be noted that based on the information, one angle is more than the sum of the other two angles.

Sum of angles in a triangle = 180°

If an angle is 90°, the sum of the other two angles will be 90°.

Therefore, if R = 120°, it so greater than 90°. The correct options are illustrated above.

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Answer:

A, B, D and E
see picture

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Applying the centroid theorem, the missing measures are:

FM = 22

A.F = 66

CM = 36

ME = 18

MB = 46

DB = 69

The centroid theorem states that the distance from the centroid of the triangle to the opposite vertex is equal to one-third of the length of the segment that connects the midpoint of a side of a triangle to the opposite vertex.

Given:

AM = 44, CE = 54, and DM = 23, where M is the centroid of the triangle, thus:

FM = 1/3(FA) = 1/3(AM + FM)

Substitute

FM = 1/3(44 + FM)

3FM = 44 + FM

3FM - FM = 44

2FM = 44

FM = 44/2

FM = 22

A.F = AM + FM = 44 + 22

A.F = 66

CM = 2/3(CE)

CM = 2/3(54)

CM = 36

ME = CE - CM = 54 - 36

ME = 18

MB = 2/3(DB) = 2/3(DM + MB)

MB = 2/3(23 + MB)

3MB = 2(23 + MB)

3MB = 46 + 2MB

3MB - 2MB = 46

MB = 46

DB = DM + MB = 23 + 46

DB = 69

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Answer:

5+5=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 ) + 9 = 13

+ 9 ≠ 13

False

2 ) 3 = 12

3 ≠ 12

False

3 ) + 5 − 9 = 0

-4 ≠ 0

False

4 ) 2 + 5 = 17

7 ≠ 17

False

5 ) 5 − 3 = 17

2 ≠ 17

False

6 ) − 3 = 1

− 3 ≠ 1

False

7 ) 7x = 35

  a ) Divide both sides by 7...

    [tex]\frac{7x}{7} = \frac{7}{35}[/tex]

     [tex]x = 5[/tex]

8 ) [tex]\frac{4x}{4}=\ 4[/tex]

      a ) Multiply both sides by 4...

        [tex]\frac{4x}{4}=\ 4[/tex]

        [tex]\frac{4x}{4}[/tex] × [tex](4)=(4)[/tex] × [tex](4)[/tex]

        [tex]4x=16[/tex]

       b ) Divide both sides by 4...

        [tex]\frac{4x}{4}= \frac{16}{4}[/tex]

         [tex]x=4[/tex]

9 ) 3 + 4 = 15

7 ≠ 15

False

10 ) 8 + − 5 = 7

3 ≠ 7

False

Hope this helps! :)

The expression is -10 > 2x+ 14.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Negative ten is no less than two times a number plus 14

let the number x

so, two times a number plus 14

= 2x+ 14

and, Negative ten is no less than two times a number plus 14

-10 > 2x+ 14

hence, the expression is -10 > 2x+ 14.

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Answer: The Answer Would be H because in the 20 darts there are 10 odd numbers 1,3,5,7,9,11,13,15,17,19

Step-by-step explanation: :)

The point- slope of equation is y- 8 = -1/2 ( x+ 3).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

line that passes through point (-3, 8)

and, line is y= -1/2 x + 6

From above equation the slope of line is -1/2

Now, the point slope form of line

y- [tex]y_1[/tex] = m (x- [tex]x_1[/tex])

y- 8 = -1/2 ( x - (-3))

y- 8 = -1/2 ( x+ 3)

Hence, the point- slope of equation is y- 8 = -1/2 ( x+ 3).

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The number of red candies in the bag is 100 when the ratio of red candies to the other colors of the candies is 2:5 and the bag has 350 candies in it.

The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent.

A ratio compares two numbers by division. A survey of 20 respondents revealed that 13 of them preferred cake to ice cream and 7 preferred ice cream to cake.

It is given that bag of candies has several colored candies. Further, the ratio of red candies to the other colors is 2:5.

Total number of candies in the bag = 350

Number of red candies = [tex]\frac{2}{7}[/tex] × 350 = 2×50 = 100

Number of other colored candies = 350 - 100 = 250

Hence, the number of red candies in the bag is 100.

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Answer: 290

Step-by-step explanation:

58 x 5 = 290

Margo jumps 290 times in five minutes

Answer:

solving for v or your variable

v= -6

Step-by-step explanation:

getting:

v = -6

Using system of equations to solve the problem, the coffee shop made use of a total of 91 pounds of blend A coffee for that month.

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

The equations in the system can be linear or non-linear.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Let;

5.60x + 4.20y = 637... eq(i)

x = 3y ... eq(ii)

Solving equation (i) and (ii)

x = 91, y = 91/3

The Coffee shop used 91 pounds of blend A

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Answer:

B

Step-by-step explanation:

I jus did this in class becaueyeah dhdjajajakaksksnsnammamanajajajjanKa

Answer:

5/8, 3/4, 1/2

Step-by-step explanation:

divide each and find out which one is the smallest to biggest :)

Answer:

The slope is -3/5=-0.6

Step-by-step explanation:

Slope: (5-8)/(8-3)= -3/5=-0.6

Answer:

[tex]m=-\frac{3}{5}[/tex]

Step-by-step explanation:

Step 1: Slope

Step 2: Set up equation and solve for m

Answer:

96

Step-by-Step Explanation:

1, 3, 5 and 15 are the factors of 15.

For breakfast, you have had 1/2 a serving of cereal and 1/4 cup of raisins, which count as one serving of fruit.

For breakfast, you have had one serving of cereal and one serving of fruit. In general, one serving of cereal is considered to be one cup, while one serving of fruit is considered to be one half cup. Therefore, in your bowl of oatmeal, you would have had two servings of cereal, and in your quarter cup of raisins, you would have had one serving of fruit. For lunch, you have had one serving of fruit in your glass of orange juice.

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Answer:   700x+1700

This represents the total amount spent over the x weeks that have gone by.

===========================================

Explanation:

x = number of weeks

700x = amount spent over those x weeks ($700 per week)

700x+1700 = total amount spent when adding on the $1700 tv.

------

An example:

Let's say x = 10 weeks have elapsed. He spends $700 a week, so 700x = 700*10 = 7000 dollars have been spent so far if we ignore the tv. Then add on the $1700 tv cost to get 7000+1700 = 8700 dollars total spent.

Then note how 700x+1700 = 700*10+1700 = 8700 matches what we got earlier.

I recommend trying out other values of x to get a better idea of what's going on.

The graph that indicates the transformation translating of the parent function to get, y = |x| + 3, created with MS Excel is attached

A function ix transformed when the graph of the function is translated, resized or reflected.

The formula for the transformation of a function, f(x) is y = a·f(b·(x + c)) + d

Where;

a indicates the graph of the function is dilated vertically

b  indicates a dilation horizontally

c indicates a translation horizontally

d indicates a vertical translation

The transformation applied to the parent function is the f(x) is an addition of a term, d = 3, which is a vertical translation

In a vertical translation of the form f(x) ± d

When d > 0, the graph of f(x) is moved up d units to get the graph of f(x) + d

When d < 0, the graph of f(x) is moved down d units to get f(x) - d

The graph of y = |x| + 3, obtained from the parent function, y = |x|, by a transformation of d = +3, therefore, the graph of y = |x| is moved up 3 units to get the graph of y = |x| + 3

Please find attached the graph that indicates the translating of the parent function, created with MS Excel.

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The amount of gallons of oil that are in the gun when it is full is 6 gallons , the correct option is (c) .

In the question ,

it is given that

A lube gun dispenses the same amount of oil each time , and

the equation is y = (-0.03125)x + 6

where , x is the number of times the oil is dispensed and

y is the number of gallons of oil remaining in the gun ,

when the gun is full , the number of times oil dispensed will be zero .

that is x = 0  ,

Substituting x = 0 in the given equation ,

we get ,

y = (-0.03125)(0) + 6

y = 0 + 6

y = 6

Therefore , The amount of gallons of oil that are in the gun when it is full is 6 gallons .

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Answer:

The answer is C 5.735

Step-by-step explanation:

I hope this helps!

The quadratic function that produces the area, f(x) = A = x², can be used to complete the table which is presented as follows;

Side length[tex]{}[/tex]   1     2    3    4    5     6

Area[tex]{}[/tex]              1     4     9   16   25  36

A quadratic function is a function which is of the general form;

f(x) = a·x² +  b·x  + c, where;

a, b, c, are numbers and the value of 'a' is not zero

The side lengths of a square are the same

The area of a square = Length of Side × Length of side

Therefore;

Area of a square = (Side length)²

The quadratic equation that gives the area, A, from a side length, x, is therefore;

The table in the question can completed using the following calculations

When the side length = 1, The area = 1² = 1

Therefore;

When the area = 4, the side length = √4 = 2

When the area = 9, the side length = √9 = 3

When the side length = 4, the area = 4² = 16

When the area = 25, the side length = √(25) = 5

When the side length = 6, the area = 6² = 36

The completed table is therefore;

Side length[tex]{}[/tex]   1     2    3    4    5     6

Area[tex]{}[/tex]              1     4     9   16   25  36

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Answer:

Step-by-step explanation:

33 percent of her diet is the protein

Answer:

38

Step-by-step explanation:

32 + 10 = 42         subtract 42-4 = 38

The t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.

T - test statistic

T test statistic refer an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related.

Given,

Wait times for customers once they enter the bank. wait time is defined as the time between when a customer enters the bank until they reach a teller. a random sample of customers are recorded and their wait times in minutes are as follows: (4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).

Here we need to determine the t test statistic for the bank's claim that wait times are not longer than five minutes.

In order to find the t test statistic, we have to calculated the average for the given waiting time,

Here the given wait times are:

(4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79).

In this list there are 15 members timings are presented.

Therefore, the average is calculated as,

=> (4.21 + 5.55 + 3.02 + 5.13 + 4.77 + 2.34 + 3.54 + 3.20 + 4.50 + 6.10 + 0.38 + 5.12 +  6.46 + 6.1 + 3.79) /15

=> 64.3/15

=> 4.29.

Therefore, the t test statistic for the bank's claim that wait times are not longer than five minutes is 4.29.

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if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

What is a conjecture?

A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.

The conjecture for the given question is:

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

Greater than → Lesser than or equal to

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