I need the missing termmmmm

The value of x is 10/7

Given:

4) Triangle ABC is similar to triangle DEF

side AB = 5, side BC = x

side EF = x + 2. side DE = 12

To find:

to draw the triangles, write the proportion and solve for x

First, we need to draw the triangles using the given information:

In similar triangles, the ratios of the corresponding sides are equal

For Triangle ABC similar to triangle DEF

AB corresponds to DE

BC corresponds to EF

AC corresponds to DF

The ratio of the corresponding sides will give the proportion:

Finally, we will solve for x:

Answer:

n=-3

Step-by-step explanation:

8n-2(3n-3)=-2(n-3)

8n-2n+6=2n-6

6n+6= 2n-6

4n=-12

n=-3 (u can thank me later)

Answer:

42 un^2

Step-by-step explanation:

You can split the hexagon into 2 triangles and a rectangle. For this, I will use the triangle that goes from (-5, 2) to (2, 2) to (-1, 4), the triangle that goes from (-5, -2) to (2, -2) to (-2, -4), and the rectangle that goes from (-5, 2) to (-5, -2) to (2, -2) to (2, 2). The top triangle is 7 units by 2 units, so using triangle formula, you get 7*2/2 = 7. The rectangle is 4 by 7, so you get 4*7=28, and the bottom triangle is 7 units by 2 units (identical to top triangle) so you get 7. 28+7+7=42 units^2

The height of Reggie’s dog in feet and inches are,

⇒ 2.46 feet

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

Reggie’s dog is 75 centimeters tall.

We know that;

1 cm = 0 feet 0.394 inch

       = 0.0328 feet

Hence, The height of Reggie’s dog in feet and inches are,

⇒ 75 cm = 75 x 0.0328 feet

               = 2.46 feet

Thus, The height of Reggie’s dog in feet and inches are,

⇒ 2.46 feet

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0.25  is the probability of rolling a five on the first die and a one on the second die

How do you calculate probability?

Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen

Very interesting problem.

1  1

1  2

1  3

1  4

2  1

2  2

2  3

2  4

3  1

3  2

3  3

3  4

4  1

4  2

4  3

4 4

There are 16 possible out comes

1   4

4  1

2  3

3  2

4 out of the 16 outcomes are possible

P(5) = 4/16 = 0.25

The theoretical out come would be 4 times

4/16 = 0.25

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Answer:

The correct one is Tyson

Step-by-step explanation:

Because dealership B slope is lower than dealership A so that means, dealership A pays a higher commission than dealership B

The lengths of the sides of the rectangular field should be approximately 1842.4 feet and 7312.1 feet in order to minimize the cost of the fence.

To minimize the cost of the fence, the rectangular field should be divided into two equal halves, so the total length of the fence needed would be the perimeter of one half of the field plus the length of the dividing fence.

Let's denote the length of one side of the rectangular field by x and the other side by y. Then we have two equations: xy = 13.5 million (since the area is given as 13.5 million square feet), and the perimeter of half of the rectangle plus the length of the dividing fence is 2x + y + y/2.

To minimize the cost, we need to find the values of x and y that satisfy these equations and give the smallest value of 2x + y + y/2. Solving for y in the first equation, we get y = 13.5 million / x. Substituting this into the second equation, we get 2x + 13.5 million / x + 6x = 4x + 13.5 million / x,

which we want to minimize. Taking the derivative with respect to x and setting it equal to zero, we get 4 - 13.5 million / x^2 = 0. Solving for x, we get x = sqrt(13.5 million / 4) = 1842.4 feet. Then, substituting this value of x into the equation y = 13.5 million / x, we get y = 7312.1 feet.

Therefore, the lengths of the sides of the rectangular field should be approximately 1842.4 feet and 7312.1 feet in order to minimize the cost of the fence.

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Answer:

  282°

Step-by-step explanation:

The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.

__

The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.

  2∠KLM = arc KM

  2(5x -1) = 8x +14

  10x -2 = 8x +14 . . . . . . eliminate parentheses

  2x = 16 . . . . . . . . . . add 2-8x

  x = 8 . . . . . . . . . divide by 2

The expression for the measure of arc KM can be evaluated.

  arc KM = 8x +14 = 8(8) +14 = 78°

The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:

  arc KM +arc KLM = 360°

  arc KLM = 360° -arc KM

  arc KLM = 360° -78° = 282°

The measure are long arc KLM is 282°.

Answer:

y = 70 degrees

x = 11

Step-by-step explanation:

The side opposite x + 2 is equivalent so they will both be equal to 13.

To get the meaning of x, simply subtract 2 from 13 giving you x = 11.

Y is across from corner C, which is 70 degrees. These angles are equivalent to each other, meaning that angle y is also 70 degrees.

Hope this helps you :)

Answer:

x = 11

y = 70°

Step-by-step explanation:

x + 2 = 13

The lines on each side are corresponding.

11 + 2 = 13

Y is corresponding with the 70° corner.

That means the corresponding corner (y) is also 70°.

Answer:

\((x+4)^2+3=0\)

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: \(ax^2+bx+c\)

So order to complete the square, you need to take the \(b\) term out of the equation, divide it by two, and then square it

In this case, the \(b\) term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

\(x^2+8x+16+19=16\)

Now you can simplify the LHS

\((x+4)^2 +19=16\)

Now you subtract 16 from both sides

\((x+4)^2+3=0\)

So this is as far as you can go since you cannot take the square root of a negative number

Answer:

No Solution.

Step-by-step explanation:

Equality equation:

— 2y – Зу +8 = 8 — 5у – 12  (Given)

-5y + 8 = -4 - 5y (distributive property of equality)

-5y = -12 - 5y (subtraction property of equality)

= -12 (addition property of equality)

when you add 5y on both sides it cancels the 5y out, it's no solution.

Thus, the measure of the obtuse angle using the supplementary angles property is found as:  ∠ β = 165.

Pairs of angles are said to be supplementary if the sum of respective angles equals 180 degrees.

A straight line exclusively appears in one form, even though its angle measurement is 180 degrees, hence it cannot be referred to as a supplementary angle. Angles must come in pairs and add up to 180° in order to be referred to as supplementary angles.

The figure for the angles are attached.

So,

∠ θ + ∠ β = 180

∠ θ  = 15 (given)

15 + ∠ β = 180

∠ β = 180 - 15

∠ β = 165

Thus, the measure of the obtuse angle using the supplementary angles property is found as:  ∠ β = 165.

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Perimeter is the total distance around the edge of a two-dimensional shape. It is calculated by adding up the lengths of all sides of the shape.

Calculations:

Let the width of the swimming pool be represented by 'w'.

The perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

In this case, we are given the perimeter and the length, so we can substitute those values into the formula and solve for the width:

70 = 2(24 + w)

Dividing both sides by 2, we get:

35 = 24 + w

Subtracting 24 from both sides, we get:

w = 11

Therefore, the width of the swimming pool is 11 yards.

So the equation that can be used to find the width is:

w = (Perimeter - 2×length)/2

or

w = (70 - 2×24)/2 = 11.

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Answer:

29 i think

Step-by-step explanation:

Answer:

29

Hope this helps

The answer to your question would be, 171.5

Answer:$108

Step-by-step explanation:

Given

Bedroom door is \(9\ ft\) tall

width of the door is \(3\ ft\)

Rate \(R=\$4/ m^2\)

The area of the door is  \(l\times w\)

\(\Rightarrow A=9\times 3=27\ m^2\)

Cost is given by

\(\Rightarrow C=27\times 4=\$108\)

Answer:

2h

Step-by-step explanation:

Richard's net pay for the week, considering Social Security, Medicare, and FIT deductions, can be calculated by subtracting the total deductions from his gross earnings.

First, let's determine the amount deducted for Social Security. The Social Security rate is 6.2%, and the maximum earnings subject to this deduction are $118,500. Since Richard is $1,000 below the maximum level, the amount subject to Social Security deduction is $1,000. Therefore, the Social Security deduction is 6.2% of $1,000.

Next, we calculate the Medicare deduction. The Medicare rate is 1.45%, and it is applied to the entire earnings of $1,700.

To calculate the FIT deduction, we need additional information about Richard's taxable income, tax brackets, and exemptions. Without this information, we cannot provide an accurate calculation for the FIT deduction.

Finally, we subtract the total deductions (Social Security, Medicare, and FIT) from Richard's gross earnings of $1,700 to obtain his net pay for the week.

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Answer:

Option (3)

Step-by-step explanation:

By the theorem, angle between two tangents intersecting each other outside the circle is half of the difference between intercepted arcs.

From the figure attached,

Two tangents CD and DE are intersecting each other at point D outside the circle A.

Two intercepted arcs are minor arc CE and major arc CBE,

Measure of arc CE = 112°

Therefore, measure of major arc CBE = 360° - 112°

                                                               = 248°

m(∠CDE) = \(\frac{1}{2}(\text{arcCBE}-\text{arcCE})\)

                 = \(\frac{1}{2}(248-112)\)

                 = \(\frac{1}{2}\times 136\)

                 = 68°

Option (3) will be the correct option.

Answer:

C

Step-by-step explanation:

Answer:

2x (4a-5b)2+ 3x (3a-4b)

I hope this answer was helpfull for you

Answer:

25, 125, 3125, 78125, 1953125

Answer:

-1 ; 1/5 ; -1/25

Step-by-step explanation:

125 : (-5) = -25

-25 : (-5) = 5

5 : (-5) = -1

-1 : (-5) = 1/5

1/5 : (-5) = -1/25

Answer: #4 is b

Step-by-step explanation:

Answer:

A, B, C, and D

Step-by-step explanation:

A) - 4 + 3

A) - 1

B) - 1 - 5

B) - 6

C) 5 - 8

C) - 3

D) - 7 + 6

D) - 1

E) - 4 + 7

E) 3

Answer:

Step-by-step explanation:

A) -4+3= -1

B) -1-5= -6

C) 5-8= -3

D) -7-(-6)= -1

E) -4-(-7)= 3

A, B, C, and D have negative values

The equation that represents a line that is perpendicular to the line MN is   y = 4x - 6 , the correct option is (d) .

In the question ,

it is given that ,

the required line is perpendicular to the the given line .

we can see that the line MN passes through the point M(-7,6) and N(5,3) .

so , the slope will be = (3-6)/(5+7) = -3/12 = -1/4.

the slope of the perpendicular will be = 4 .

on comparing the the options with the equation of line y = mx + d, we get

that only option(d) has slope 4 .

So , the equation of the perpendicular is ⇒ y = 4x - 6 .

Therefore , the equation of the required line is y = 4x - 6.

The given question is incomplete , the complete question is

Which equation represents a line that is perpendicular to line MN ?

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Answer:

12

Step-by-step explanation:

72 divided by 12 = 6 so 1 x 12 = 12

To assess the likelihood of the sample results given the population proportion, we can use statistical inference and conduct a hypothesis test.

In this case, we compare the observed sample proportion to the assumed population proportion.

Define the null hypothesis (H0) and alternative hypothesis (Ha). In this case, the null hypothesis is that the population proportion is equal to 0.49, and the alternative hypothesis is that the population proportion is not equal to 0.49.

Calculate the test statistic using the formula: test statistic = (sample proportion - assumed population proportion) / standard error of the sample proportion.

Compute the standard error of the sample proportion using the formula: standard error = sqrt[(assumed population proportion * (1 - assumed population proportion)) / sample size].

Determine the p-value associated with the test statistic. This represents the probability of observing a sample proportion as extreme or more extreme than the observed proportion, assuming the null hypothesis is true.

Compare the p-value to a predetermined significance level (e.g., 0.05) to make a decision. If the p-value is less than the significance level, we reject the null hypothesis and conclude that the observed sample proportion is significantly different from the assumed population proportion.

Based on the result, select the appropriate answer choice that describes the likelihood of a wrong call in the election if exit polling alone is considered.

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Answer: -2; -1; 0; 1; 2

\(-8\leq 4n<12\\\\=> -2\leq n<3\)

because n is an integer => n ∈ {-2; -1; 0; 1; 2}

Step-by-step explanation:

Answer is : n ={-2; -1; 0; 1; 2}

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given that,

-8 ≤ 4n < 12

=> -2≤ n <3

because, n is an integer => n ∈ {-2; -1; 0; 1; 2}

Hence, Answer is : n ={-2; -1; 0; 1; 2}.

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Answer:

39

Step-by-step explanation:

Answer:

Alternate Exterior Angles theorem

Answer:

alternate exterior angles

Step-by-step explanation:

alternate exterior angles are when two angles are on the far side of two lines and are not on the same side of the line cutting through the two parallel lines

Hope this is not redundunt or anything because I thought maybe I should just explain it so you would understand it next time :)

Answer:

A.

Step-by-step explanation:

The answer would be A because it has the same rate of change at the line in the graph.