top question says: Triangle ABC can be taken to triangle A'B'C' using rigid motions and a dilation. help me pls

2x + y = 6 (1)

y = x - 6 (2)

Substituting y in equation (1)

2x + x - 6 = 6

3x - 6 = 6 Isolating 3x

3x = 6 + 6

3x = 12 Isolating x

x = 12/3 = 4

If x is 4 , then y is equal to -2 ( from equation (2) y)

Answer:

(D) {xIx ≥ 5} or [5, ∞)

Explanation:

Given inequality: 5x - 11 ≥ 9 + x

By collecting the like terms, we have

5x - x ≥ 9 + 11

4x ≥ 20

Divide bothsides by 4

4x/4 ≥ 20/4

x ≥ 5

In set notation, we have {5, ∞}

The graph of the solution set is

The length of the fencing will be the perimeter of the given square with side (5x - 3) thus (20x - 12) meters will be the fencing length.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

As per the given,

Side of square = 5x - 3

The fencing around the square will cover the complete perimeter of the square.

Since the perimeter of the square = 4 × side

Therefore,

Length of fencing = 4 × (5x - 3)

Length of fencing = 20x - 12

Hence "The length of the fencing will be the perimeter of the given square with side (5x - 3) thus (20x - 12) meters will be the fencing length".

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ANSWER:

$ 85.44

STEP-BY-STEP EXPLANATION:

We have the value after tax, we must calculate the sum between the original value and the value equivalent to the established percentage, therefore, we calculate it like this:

The final price is $ 85.44

When we have a number that is jointly proportional to two other numebrs, the formula is:

This means "a is jointly proportional to c and b with a factor of k"

Then, we need to find the factor k.

In this case z is jointly proportional to x² and y³

This is:

Then, we know that z = 115 when x = 8 and y = 3. We can write:

And solve:

NOw we can use k to find the value of z when x = 5 and y = 2

To the nearest hundreth, the value of z when x = 5 and y = 2 is 13.31

The product of the slopes of the perpendicular lines is -1, which means if the slope of one of them is m, then the slope of the perpendicular line is -1/m

In triangle ABC

The perpendicular bisector of the side BC is drawn from the opposite vertex A

Then to find it find the slope of BC and reciprocal it and change its sign to get its slope and find the midpoint of BC to use it in the equation of the perpendicular bisector

Since B = (7, 3) and C = (4, 6)

Let us find the slope of BC, using the rule of the slope

Let (x1, y1) = (7, 3) and (x2, y2) = (4, 6)

Now to find the slope of the perpendicular line to BC reciprocal it and change its sign

Since the reciprocal of 1 is 1 and the opposite of negative is positive, then

Then the slope of the perpendicular line is 1

Now, let us find the mid-point of BC

The rule of the midpoint is

Then the mid-point of BC is

Now we can form the equation of the perpendicular bisector of BC using its slope 1 and the point (5.5, 4.5)

The form of the equation using a point and a slope is

m is the slope and (x1, y1) is a point on the line

Since m = 1 and (x1, y1) = (5.5, 4.5), then

Add 4.5 to both sides

The equation of the perpendicular bisector of BC is

We will do the same to AB and AC

The net loss from accepting the special order at a discount of 25% from the regular price, without the existence of excess capacity is $38,700.

Since Coronado Co. lacks the excess capacity for special orders, it implies that it will incur fixed costs per unit of the special order in addition to the variable costs.

Therefore, the company will incur a per unit cost of $40 ($16 + $12 + $9 + $3) while generating a revenue of $39 per unit.

This results in a loss of $1 per unit.

Selling price per unit = $52

Unit Costs:

Direct Materials = $16

Direct Labor = $12

Variable Overhead = $9 (75% of $12)

Total variable cost per unit = $37

Fixed Overhead = $3 (25% of $12)

Special order price per unit = $39 ($52 x 1 - 75%)

Contribution margin per unit = $2 ($39 - $37)

Total contribution margin = $77,400 ($2 x 38,700)

Fixed Overhead without excess capacity = $116,100 ($3 x 38,700)

Net loss = $38,700 ($77,400 - $116,100)

Thus, without excess capacity, it is inadvisable for Coronado to accept the special order at a total loss of $38,700.

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According the the information given in the exercise, you know that the cost of the dinner was:

Where "d" is the cost of the dinner in dollars.

Convert from percentages to decimal numbers by dividing them by 100:

1. 6.25% tax in decimal for:

2. 18% tip in decimal form:

To find the amount in dollars of the tax and the the amount in dollars of the tip, multiply "d" by the decimals found above.

Knowing the above, let be "t" the total cost in dollars.

This is:

Therefore the answer is: The total cost is $93.1875

then we use the statement to solve

Miss Taylor drove 30 miles in March

she drove 9 times as many miles in May as she did in March

she drove 2 times as many miles in April as she did in May

Taylor Drove 540 Miles in April

Answer:

Alternative D - 8 sin(35°)

Step-by-step explanation:

Sin(x) is defined as:

In this exercise,

BC is the opposite side to 35°

AC is the hypotenuse and measures 8 in

Then:

For this problem we have the following point given:

And we want to determine the image point after a translation of 2 units to the right and upward. So then we just need to do the following:

And after do the math we got:

And the final answer for this case would be I=(3,-1)

Anisha used the substitution method to solve the system of equations.

She is missing the value of y.

To find it we plut the value of x in the first equation, then:

Therefore the solution is (4,-1)

In option A, if expression is simplify with out using associative property then addition of 4/9 and -2/9 is easy, as compare to addition 6 and 4/9. So no need to apply associateive property to option A.

In option B, 60 and 40 can be easily add as compare to 40 and -27 so this expression do not need to apply associative property.

In option C, the expression is easier to simplify if 5/2 and -1/2 is added, which is possible if associative is apply to the expression.

Thus option C use associative property to make the simplification easier.

Answer: Option C.

Given: A grocery store is located at the origin (0,0). Madison lives 3 blocks west of the grocery store, and Gavin lives 5 blocks west of the grocery store.

Required: To determine the coordinates of Madison's house and Gavin's house and the distance between the grocery store and madison's and Gavin's house. Also, write inequalities for the distance.

Explanation: Let the graph represents the directions as follows-

Then, the direction west lies on the negative x-axis. So, according to the question, Madison lives 3 blocks west of the grocery store, and Gavin lives 5 blocks west of the grocery store. This can be represented as follows-

Here, M represents Madison's house, and G represents Gavin's house. Now the distance from the grocery store to Madison's house is 3 blocks and to Gavin's house is 5 blocks.

Gavin lives at a greater distance from the store. Let d(M) represent the distance of Madison's house from the store and d(G) represent the distance of Gavin's house from the store. Then-

Coordinate of Gavin's house=(0,-5)

Distance from the grocery store to Madison's house=3 unit blocks.

Distance from the grocery store to Gavin's house=5 unit blocks.

Inequalities are-

Given:

Sample space = 10

Rate = 1/3 per second

Use the quadratic formula.

Where a = 3, b = -31, and c = -60.

Solve to find both solutions.

Rewrite the expression as two.

Once we have the solutions, we express them as factors. To do that, we have to move the constant to the right side of each equation.

As can observe, the factor of the polynomial is (x-12).

Answer:

Step-by-step explanation:

The rule for a reflection over the y-axis is represented by the following equation:

Therefore, for the given figure and given point:

Answer:

C 109

Step-by-step explanation:

First add all the known angles inside the triangle first to get 109°

Then since all angles in a triangle add to 180°

you take away 109 from 180 so

180-109 which equals 71

Then since all angles on a straight line add up to 180°

you take 71 from 180 so

180-71 = 109

so x = 109°

Constant of variation ( k ):

• y = 2/3

• x = 1/4

k = 8/3

Based on k we can find the value of y when x =3/4 as follows:

Answer:

• k = 8/3

• When ,x, = ,3/4,,, y = 2

The Approximation of 14 plus cube root of 81 to the nearest tenth is 18.0

The concept that will be used to solve this is finding cube root of 81 which same thing as [tex]81^{\frac{1}{3} }[/tex].

Firstly we will need to find the  cube root of 81, which can be expressed as this: [tex]\sqrt[3]{81}[/tex]  and this can be calculated as 4.33.

This implies that the cube root of 81 will now be 4.33.

Then we can proceed to the simplification that was asked from the question which is 14 plus cube root of 81 and this can be expressed as ( 14) + (4.33) = 18.33

Then we were told to express in the the nearest tenth which is 18.0

Therefore, the third option is correct.

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Given in the scenario:

a.) Helen ran 15 1/4 kilometers last week.

b.) Riley ran 4 1/12 less kilometers than Helen.

c.) Derrick ran 7 3/8 more kilometers than Riley.

d.) Their goal is to run 60 kilometers in total.

To be able to determine how much further do they need to run to get 60 kilometers in total, we must first determine how many kilometers did Riley and Derrick run.

We get,

A.)

Recall: To be able to subtract mixed numbers, you must first convert them into an improper fraction with a common denominator. The LCM of the two denominators must be their denominator when converted.

The LCM of 4 and 12 is 12. We get,

Let's now proceed with the subtraction,

Conclusion: Riley ran 11 1/6 kilometers.

B.)

Recall: To be able to add mixed numbers, you must first convert them into an improper fraction with a common denominator. The LCM of the two denominators must be their denominator when converted.

The LCM of 6 and 8 is 24. We get,

Let's now proceed with the addition,

Conclusion: Derrick ran 18 13/24 kilometers.

C.) To be able to determine how much further do they need to run to get 60 kilometers in total, we subtract 60 by the sum of distance the three people ran.

We get,

The same process that we did, convert all numbers into similar fractions.

The LCM of 4, 6 and 24 is 24. We get,

Let's proceed with the operation,

Therefore, they need to run a total of 361/24 kilometers to be able to meet their goal.

The percentage of alcohol of a solution i is given by the quotient:

where v_i is the volume of alcohol in the solution i and V_i is the volume of the solution i.

From the statement of the problem we know that:

1) Solution A has 10% of alcohol, i.e.

2) Solution B has 60% of alcohol, i.e.

3) The volume of solution A is V_A = 200ml.

4) The resulting mixture must have a percentage of 40% of alcohol, so we have that:

5) The volume of the mixture v_M is equal to the sum of the volumes of alcohol in each solution:

6) The volume of the mixtureVv_M is equal to the sum of the volumes of each solution:

7) Replacing 5) and 6) in 4) we have:

8) Replacing 1) and 2) in 7) we have:

9) Replacing 3) in 8) we have:

Now we solve the last equation for V_B:

We must use 300ml of Solution B to have a 40% alcohol solution as the resulting mixture.

Answer: 300ml of Solution B.

EXPLANATION

For the event B, the order of the first 3 acts doesn't matter.

So, the number of acts taken from the seven acts when the order doesn't matter is calculated using combinations.

Computing the factorials:

Hence, the number of ways the three acts could be given are 1:C(7,3)

Therefore, the probability of the event B is:

For the event A, the order matters, so the difference between combinations and permutations is ordering. When the order matters we need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

The number of ways the magician is first, the comedian is second and the whistler is third are 1:P(7,4)

Therefore, the probability of the event A is.

From this question, we can deduce he following:

Original value = 60

New value = 72

Let's find the percentage increase.

To find the percentage increase, apply the formula below:

Thus, we have:

Therefore, the percent increase is 20%.

ANSWER:

20%

Note that if plane N and plane M intersects each other in two points (say A and B) it follows that they intersects each other in the line that contains A and B. So they cannot intersect exactly in only two points. Postulate number 10

In order to solve for x, we need to use the tangent relation of the angle 48°.

The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

Rounding to the nearest tenth, we have x = 18.9.

Simplify the expression by using the distributive property.

So answer is 25 + 35m.

SOLUTION

We want to know which answer choice shows 3.002 written in expanded form

To do this let us subtract 3.002 from 3, we have

We got 0.002

So the expanded form is

Hence the correct answer is option C