Derek is cutting a piece of plywood into the shape of a triangle to use as part of a set for a school play. How should the triangle be classified? 50° 90° 40° O A. right, isosceles B. right, scalene C. acute, scalene о O D. obtuse, isosceles​

Using factorization method to solve the quadratic equation, the number of seed Martha and Miguel donated are 5 and 10 respectively

A quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and x is an unknown variable. The solution to such an equation is a value of x that will make the equation true.

To determine the number of seeds they donated, we have to write two equations and solve.

data;

The product of the seeds is (2x - 3)(4x - 6) = 8x² - 24x + 18

This can be written as

8x² - 24x + 18 = 50

Solving the quadratic equation;

8x² - 24x + 18 - 50 = 0

8x² - 24x - 32 = 0

Using factorization method;

8(x - 4)(x + 1) = 0

x - 4 = 0, x = 4

x + 1 = 0, x = -1

x = 4, x = -1

The number of packs Martha donated is

Martha = 2x - 3 = 2(4) - 3 = 5

The number of packs Miguel donated is

Miguel = 2 * 5 = 10

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Oscar Wilde mocks upper-class Victorian society in "The Importance of Being Earnest" by using the literary devices of irony and hyperbole to a humorous effect.

Oscar Wilde wrote a play titled The Importance of Being Earnest, A Trivial Comedy for Serious People.

It is a farcical farce that was first presented on February 14, 1895, at the St James's Theatre in London.

The characters maintain false personae to avoid onerous social duties.

The play's main themes, which are based on late Victorian London social customs, are the triviality with which it treats institutions as important as marriage and the satire that results.

In "The Importance of Being Earnest," Oscar Wilde employs the literary devices of irony and hyperbole to hilarious effect as he criticizes upper-class Victorian society.

Therefore, Oscar Wilde mocks upper-class Victorian society in "The Importance of Being Earnest" by using the literary devices of irony and hyperbole to humorous effect.

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9514 1404 393

Answer:

Step-by-step explanation:

Consecutive interior angles are supplementary:

  (6x +6)° +(3x -15)° = 180°

  9x -9 = 180 . . . . . . . . . . . . . . simplify, divide by °

  x -1 = 20 . . . . . . . . . . . . divide by 9

  x = 21

__

Angles of a linear pair are supplementary:

  (3x -15)° +(y +18)° = 180°

  3(21) -15 + y + 18 = 180 . . . . substitute for x, divide by °

  y = 114 . . . . . . . . . . . . . . . . . . subtract 66

The sample space for the experiment, S= {Q, R, S, T}.

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.

Given:

From the Spinner we can see four portions as

Q(Orange)

R(Green)

S(Blue)

T(Purple)

So, if the spinner spined then it will point Q, R, S or T which is the Sample space for the Spinner.

Hence, the Sample space is {Q, R, S, T}.

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Answer: B: S = {Q, R, S, T}

Step-by-step explanation:

This is the only answer listed with the letters on the spinner.

Answer:

Step-by-step explanation:

6

The number of packages of 5 wheels can be made from the 30 wheels is 6.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.

Now, number of packages of 5 wheels

= 30/5

= 6

Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.

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Answer:

1 3/4

Step-by-step explanation:

1 3/4

Answer:

7/4

Step-by-step explanation:

Multiplying fraction is so easy just multiply the nominators with each other. Then the denominators.

21 *1 =21 and 4 *3=12

21/12 =7/4 just simplify

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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9514 1404 393

Answer:

  d)  all of the above are false

Step-by-step explanation:

Every ordered pair of real numbers is a point in the Cartesian coordinate system.

The various statement saying otherwise are all false.

Answer:

-7/5

Step-by-step explanation:

(1-8)/(7-2)= -7/5

Answer:-1.4

Step-by-step explanation: The slope or gradient is given by

Slope=y2-y1÷x2-x1.

From the problem

X1=7

Y1=1

X2=2

Y2=8

Thus we will have

Slope=(8-1)÷(2-7)

=7÷(-5)

=-1.4

The distance traveled from the starting point to the ending point is 30.35 km.

What is a bearing?

A bearing tracks the rotation of an angle around the north line in a clockwise fashion. The line connecting the compass's centre to a location and measuring its bearing in degrees as it moves clockwise from north is known as the bearing.

The ship travels 50 km on a bearing of 27°, and then travels on a bearing of 117° for 140 km.

The x-coordinate of the final point is -

50 cos (27°) + 140 cos (117°) = -19

The y-coordinate of the final point is -

50 sin (27°) + 140 sin (117°) = 23.67

The distance from (0,0) to the final point is as follows -

d = √(-19)^2+(23.6)^2)

= √(921.27)

= 30.35 km

Therefore, the distance traveled is 30.35 km.

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Answer: picture shown is not available

Step-by-step explanation:

Answer:

2 solutions

Step-by-step explanation:

the plus or minus sign makes there be 2 solutions

[tex] \frac{4 + i \sqrt{14} }{3} [/tex]

and

[tex] \frac{4 - i \sqrt{14} }{3} [/tex]

Answer:

16537.5

Step-by-step explanation:

4.5% of 13500 = 607.5

607.5 x 5 = 3037.5

3037.5 + 13500 = 16537.5

฿₤₦

The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

Given are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).

The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -

R' (1, -6)

S' (5, -3)

T' (3, 2)

The graph is attached.

Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

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To determine whether the point [tex](1,2)[/tex] is a solution of inequality  [tex]3x - 2y - 6 > 0[/tex],  we substitute the point in the inequality and if the result is True, then it will be the solution .

What is an Inequality ?

The Inequality is defined as a relationship between two expressions or values that are not equal to each other .

The inequality in the question is given as : [tex]3x - 2y - 6 > 0[/tex] ;

the point is ⇒ [tex](1,2)[/tex] ,

to check the solution , we substitute the values in the inequality as [tex]x=1[/tex]and [tex]y=2[/tex] ;

we get , [tex]3(1) -2(2) - 6 > 0[/tex]

= [tex]3-4-6 > 0[/tex]

= [tex]3-10 > 0[/tex]

= [tex]-7 > 0[/tex],

But we know that , [tex]-7 < 0[/tex] , So , the given point is not the solution of the given inequality .

The given question is incomplete , the complete question is

How do you determine if the given point (1,2)  is a solution of each linear inequality 3x - 2y - 6 > 0  ?

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The value of x is 20

Now, According to the question:

The given equation is:

3x + 32 = 5x - 8

To solve the equation for finding the value of x .

32 + 3x = -8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

32 + 3x  -5x = -8 + 5x  -5x

Combine like terms:

3x  -5x = -2x

32  -2x = -8 + 5x  -5x

Combine like terms: 5x  -5x = 0

32  -2x = -8 + 0

32  -2x = -8

Add '-32' to each side of the equation.

32  -32 -2x = -8  -32

Combine like terms: 32  -32 = 0

0 -2x = -8  -32

-2x = -8  -32

Combine like terms: -8  -32 = -40

-2x = -40

Divide each side by '-2'.

x = 20

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The usage of first and third quadrant is explained below.

The term quadrant in math is known as a region defined by the two axes (x-axis and y-axis) of the coordinate system.

Here we need to list down the usage of first and third quadrant is as follows:

As we all know that the Third Angle Projection schema imagines the object in the third quadrant.

And in one can place an object on the bottom of the horizontal plane and behind the vertical planes.

Where as the first angle projection is utilized mostly in the United States and it places the object between the observer and the object.

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Answer: the cost for Internet increase by 5/4 per minute

Step-by-step explanation:

Answer:

A) $40

B) The number of miles at which the cost will be the same for both companies

C) Enterprise. If you drive 100 miles it costs $35 with Enterprise and $45 with Dollar Rental Car Agency

The number line is drawn to find the open end point interval is infinity.

Number Line of an Open endpoint to the endpoint of number line =?

Selection of Open endpoint to the endpoint of the number line is  fit for the following intervals as such determined below :

basically the intervals are mentioned as follow

( ), [ ], ( ], [ )  

An open interval is mentioned (a, b), is an interval that does not contain its endpoints. When an interval involves infinity or negative infinity, hence the following rules for whether it is an open or closed interval. (a, and

(-a , a) are open intervals.

For instance [a,∞) doesn't contain all of its endpoints as mentioned . It's a real number where The interval has only one endpoint - a, so it contains all of its endpoints (however it only has one).

Secondly, the definition forgot to add that (−∞,∞) is also open

Take numbers as follows:

Final Answer  as followed  in intervals

(-2, 2)

[-2, 2]

(-∞, 2]

[2, ∞)

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Answer:

24 students are in the class

Step-by-step explanation:

Let x represent the total number of students in the class. We have the equation:

(2/3)x = 16

x = 24 students

So, there are 24 students in the class.

Answer:

24 students

Step-by-step explanation:

16/2=8

8*3=24

The slope of the line is 3 and the y-intercept is -5.

The slope of a line is the coefficient of the x term (in this case, 3). To calculate the y-intercept, we can plug in x = 0 and solve for y. Doing this, we get y = 0 + 3(0) + 5 = -5. Therefore, the slope is 3 and the y-intercept is -5.

The slope of a linear equation is found by looking at the coefficient of the x term. In this case, the coefficient of the x term is 3, so the slope of the line is 3. To find the y-intercept, we can plug in x = 0 into the equation and solve for y. Doing this, we get y = 0 + 3(0) + 5 = -5, so the y-intercept is -5. Therefore, the slope of the line is 3 and the y-intercept is -5. This equation is therefore a linear equation with a slope of 3 and a y-intercept of -5.

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Answer:

$68

Step-by-step explanation:

So, we will start off by putting our original price as a variable, x. Now, we will need an equation to show the relationship between the current price and three-fourths of the original price. The equation will look like this:

[tex]\frac{3}{4} x = 51[/tex]

Then, we will multiply both sides by 4 to get rid of the fraction, giving us:

3x = 204

Finally, we will divide by 3 to find the original price of the sneakers:

x = 68

So the pair of shoes originally cost $68.

Hope this helped!

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

4

1

)−12(−1)

2

]−5[24+2(−12)]

2

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

1

−12)−5(24+2(−12))

2

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

4

1

to get -\frac{49}{4}−

4

49

.

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

49

)−5(24+2(−12))

2

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

4

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

2

49

−5(24+2(−12))

2

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

2

49

−5(24−24)

2

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

2

49

−5×0

2

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

2

49

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

2

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}

2

49

2

49

=24.5

(b)−a

2

b

2

−3a

3

b

2

a=−

3

1

b=−1

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

1. 4x - 29=11

2. (3x - 4) (2) = 46

3. 3/5x + 8 = 50

4. The difference of 51 and the sum of x and 5.

5. The product of 3 and y minus eight.

Step-by-step explanation:

Answer:

Its first option. bcz its doubled... right..

Answer:

If Samuel drives a compact car, he would need to buy 243.75 gallons of gas per year. If he drives a pickup truck, he would need to buy 250.25 gallons of gas per year. So he would need to buy 6.5 more gallons of gas per year if he drives a pickup truck compared to a compact car.

Step-by-step explanation:

Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

= 75

100-75

= 25

Amount of blue paint is

25/100×6.9

= 0.25×6.9

= 1.73

Answer:

I would say the answer would be 1350 because 15 percent of $9000 would be 1350

Answer: 907.46 inches squared

Step-by-step explanation:

The formula for the area of the circle is:

[tex]A = \pi r^{2}[/tex]

In this question, pi is 3.14. The radius of a circle is half of its diameter. So:

[tex]\frac{34}{2} =17[/tex]

Plug these values into the equation:

[tex]A = (3.14)(17)^2[/tex]

Simplify:

[tex]A = 907.46[/tex]

The area of the circle is 907.46 inches squared.