In 1980, the amount of earnings required to earn one Social Security credit was $290. Back then, Mike earned $55 per week. How many credits did he earn in 1980?

The missing values are:

angle DGE = 45 degrees

angle EDG = 85 degrees

FD = 10

GD = 10√2

EG = (20 + 13√3) / 2

The missing sides in the figure is solved as follows

angle DGE = angle BAG = 45 degrees (alternate angles are equal)

angle EDG = angle ADC (vertical angles are equal)

angle ADC + 45 + 50 = 180 (sum of angles in a triangle)

angle ADC = 180 - 50 - 45

angle ADC = 85 degrees

Since DGE = 45 degrees and FG = 10

tan 45 = FD / FG

tan 45 = FD / 10

FD = 10

solving for GD

GD² = FD² + FG² = 10² + 10² = 200

GD = 10√2

solving for EG

EG = EF + FG

cos 50 = EF / 13

EF = 13 cos 50 = 13√3 / 2

EG = EF + FG = 13√3 / 2  + 10 = (20 + 13√3) / 2

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Answer:

Step-by-step explanation:] Answer would be 400%

New value - Original Cost

         Original value

= 20 - 4/4

= 16/4

= 4 x 100

= 400%

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

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The price decreases by $288,000*(0.19)=$54,720

The current value is then $233,280.

Answer:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.  

First, you should find the slope of the line.  To do this, use the equation M=y2-y1/x2-x1.  Using the two given points (3,6) and (8,4), you can solve for M.  

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept.  You can do this by subbing one of the given points in for x and y.  

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

Step-by-step explanation:

Answer:

Answer is A I believe

Step-by-step explanation:

The value of w from the given triangle VWX is 5 units. Therefore, option D is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle VWX, ∠X=51°, ∠W=16° and VW=x=14.

Here, sinX/x=sinW/w

sin51°/14=sin16°/w

0.7771/14=sin16°/w

0.7771/14=0.2756/w

0.0555=0.2756/w

w=0.2756/0.0555

w=4.965

w≈5

Therefore, option D is the correct answer.

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Answer:

9/10 bc it would be .90 in decimals

Step-by-step explanation:

Answer:

9/10 is

Step-by-step explanation:

9/10 as a decimal is 0.9 and if you line them up, 0.9 is greater than 0.45

The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

kyskyskyskyskyskyskys

Answer:

A' = (4, 4)

B' = (12, 4)

C' = (4, 10)

Step-by-step explanation:

Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.

A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4

A' = (4, 4)

B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4

B' = (12, 4)

C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10

C' = (4, 10)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

The required scale factor for the first rectangle is 5.

What is a scale factor?

In mathematics, a scale factor is a numerical factor that describes the relationship between two similar shapes. It is the ratio of the length of a side or the measure of any other corresponding linear dimension of one shape to the length or corresponding dimension of another similar shape.

Given that,

A rectangle with a short side of 2.5,

And an arrow points to a smaller rectangle with a short side of 0.5

We have to find,

The scale factor was applied to the first rectangle.

According to the question,

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Then,

Scale factor = Dimensions of the short side ÷ Dimensions of the small rectangle with the same side.

Scale factor = 2.5/0.5

Scale factor = 5

Hence, The required scale factor for the first rectangle is 5.

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If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

4.31

Step-by-step explanation:

2% = .02

215.50 x .02 = 4.31

TRUE. The Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities.

The Centers for Disease Control and Prevention is the national public health agency of the United States.

How does Centers for Disease Control and Prevention (CDC) evaluates children for developmental disabilities?

The Centers for Disease Control and Prevention (CDC) works to identify causes of Developmental Disabilities and opportunities to prevent them.

Developmental monitoring observes how a child grows and changes over time and whether the child meets the typical developmental milestones.

Thus, the Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities.

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Answer:

0.82cm

Step-by-step explanation:

Answer:

r = 0.81 cm

Step-by-step explanation:

Volume of a cylinder = πxr²xh

Volume = 48cm³

Height = 9 inches = 22.86 cm

Radius = ?

Using the above formula:

V = πr²h

r² = V / (πh)

r² =  48 / (π(22.86))

r² = 48/71.81

r² = 0.67 cm

Taking square root on both sides

r = 0.81 cm Ans

Answer:11

Step-by-step explanation:

Answer: there's one more screen shot but the limit is 5... so ill type it out!

7. Are the two products the same when you multiply them vertically? (1 point)

Yes they are

Making a Decision:

8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)

They were both correct

9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)

I prefer the first one, Table method. To me it is easier and the fastest out of them all.

Answer:

A regular polygon is a polygon that is equilateral and equiangular.

The only regular quadrilateral is the square.

We know that all the interior angles of a square are 90° each, so we are fine with that.

Now, for the exterior angles.

If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.

Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:

this is:

360° - 90° = 270°

Below is an image as a guide of this.

The cost of the item whose price $ 55 is $ 50.

The cost price is the price paid by an individual to buy an item or any other commodity. Or this can also be taken as the total amount of money spent by the manufacturer to assemble a product or deliver a service.

Here, Price equation in terms of cost

       P = C + C/10

      P =  (10C+C)/10

      P = 11C/10

      C = 10P /11

For P = $ 55, the cost will be

      C = 10 X 55 / 11

      C = 10 X 5

      C = $ 50

Thus, the cost of the item whose price $ 55 is $ 50.

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Answer:

y = 4/3x + 4

Step-by-step explanation:

The y intercept is 4. So if we look the 2 points are (-3,0) and (0,4)

So the run is 3 and rise 4

so 4/3 is the slope

A total of 8 cups of mix is needed for a Gatorade recipe calls for 2 cups of mix for every 4 cups of water if you have a total of 16 cups of water.

The unitary technique in actuality involves first determining the actual value of a single unit, alongside followed by the value of the necessary number of units.

The unitary approach is a kind of a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

2 mix for 4 cups of water

⇒ 1 mix for 2 cups

⇒ for 1 cup = 1/2 mix

so for 16 cups = 8 mix

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit.

The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.

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\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf \: ( 7 - ( - 1 ) ^ { 2 } ) + ( - 2 ) ^ { 2 }\)

Calculate -1 to the power of 2 to get 1.

\( \sf \: 7-1+\left(-2\right)^{2} \)

Subtract 1 from 7 to get 6.

\( \sf \: 6+\left(-2\right)^{2} \)

Calculate -2 to the power of 2 to get 4.

\( \sf \: 6+4 \)

Add 6 and 4 to get 10.

\( = \boxed{\boxed{\bf \: 10}}\)

Hey there!

(7 - (-1))² + (-2)²

= 7 - 1 + (-2)²

= 6 - 2²

= 6 - 4

= 10

Hope it helps ya!

Responder:

Aproximadamente 13,4 unidades.

Explicación paso a paso:

Para encontrar la distancia entre dos puntos, use la fórmula de la distancia. La fórmula de la distancia es:

x₁ e y₁ es una coordenada mientras que x₂ e y₂ es la otra.

Sea (-3,10) x₁ y y₁ y sea (3, -2) x₂ e y₂. Inserta los números y simplifica:

Editar: error tipográfico

Answer:

13, 4

Hope this helped :))))

The number of centimeters the tip of the minute hand traveled in those eighteen minutes is 20.096 cm.

Given that, the minute hand on a clock is 10 cm long and it rotates 115° in eighteen minutes.

We know that, the arc length of a circle is θ/360° ×2πr.

Here, arc length = 115°/360° ×2×3.14×10

= 0.32×2×3.14×10

= 20.096 cm

Therefore, the number of centimeters the tip of the minute hand traveled in those eighteen minutes is 20.096 cm.

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Answer: ounces

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

To estimate the average number of hours a student their highschool sleeps per night, the students of the statistics class took as sample the first 120 students that arrived at the school on a particular day, out of the 1200 student population, and asked how many hours of sleep they got the night before.

The population of interest is the entire group of experimental units that exists in the world, in this example is the student body of the high school: 1200 students.

The sample is formed by the students that were interviewed: 120 students.

The parameter of interest is the average sleep time per night of the students in high school.

Correct answer:

(D) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Statistic: The average number of hours a student at this high school sleeps per night.

Eden should purchase 8 basil plants and 16 mint plants to stay within her budget of $10.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Number of herbs=24

Cost of basil plant= 0.25

Cost of mint plant=0.50

Eden has $10

Now,

Let's use the variables b and m to represent the number of basil and mint plants that Eden will purchase, respectively. Then, we can write two equations based on the total number of plants and the total cost:

b + m = 24 (the total number of plants is 24)

0.25b + 0.5m = 10 (the total cost of the plants is $10)

To solve this system of equations, we can use substitution. Solve the first equation for one variable in terms of the other:

b = 24 - m

Substitute this expression for b in the second equation:

0.25(24 - m) + 0.5m = 10

Simplify and solve for m:

6 - 0.25m + 0.5m = 10

0.25m = 4

m = 16

Substitute this value of m back into one of the original equations to solve for b:

b + 16 = 24

b = 8

Therefore, the solution of the equations will be 8 and 16.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Regression equation for 2 independent variables :

y=40.7+8.63x1+2.71x2 (model 1)

Regression model for only x1 variable :

y=42.0+9.01x1 (model 2)

The Coefficient of x1 = 8.63 is the change in the estimated predicted value of the dependent variable due to a unit increase in the independent variable (x1) when the other independent variable (x2) is held constant

For Model 2:

The Coefficient of x1 = 9.01 is the change in the estimated predicted value of the dependent variable due to a unit increase in the independent variable (x1)

2.)

Yes, for model 1, we have a multiple regression model (more than 1 independent variable). Multicolinearlity sets in when the independent variables in a multiple regression model are highly correlated. Hence, the Coefficient of each independent variable varies highly when modeled separately compared to when used together to generate a single model. Hence.The reason for the difference.