PLEASE HELP THE QUESTION IN THE PICTURE.

Answer:

Triangles BAD and CED have angle D in common.

<D is congruent to itself, so <D of triangle BAD is congruent to <D of triangle CED. That is 1 pair of congruent angles.

<A is a right angle. <CED is a right angle.

Theorem: All right angles are congruent.

<A is congruent to <CED. That is a second pair of congruent angles.

By AA Similarity, triangles BAD and CED are similar.

Find percent tax.

7.79/100 * 100

7.79 percent.

Take 7.79 percent of 74,000.

0.0779 * 74,000 = 5764.6

Applying angle relationships, the value of x in each figure is determined as:

E. x = 8

F. x = 26

I. x = 9

J. x = 4

Using angle relationship based on the angles involved, create an equation in each case, to enable you find the value of x.

E. 27 + 8x - 1 = 90 [the angle relationship is that they are complimentary angles].

Solve for the value of x:

26 + 8x = 90

8x = 90 - 26

8x = 64

x = 8

F. 7x - 44 = 75 + 63 [vertical angles are congruent]

7x = 182

7x/7 = 182/7

x = 26

I. 180 - (5x - 3 + 13x + 4) = 17 [vertical angles are congruent]

180 - (18x + 1) = 17

180 - 18x - 1 = 17

179 - 18x = 17

-18x = 17 - 179

-18x = -162

x = 9

J. 3y + 10 = 5y - 24 [vertical angles are congruent]

Solve for y

3y - 5y = -10 - 24

-2y = -34

y = 17

Find the value of x:

3y + 10 + 9x + 1 + 82 = 180 [angles on a straight line equals 180 degrees]

3y + 9x + 93 = 180

Plug in the value of y

3(17) + 9x + 93 = 180

51 + 9x + 93 = 180

9x + 144 = 180

9x = 180 - 144

9x = 36

x = 4

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Answer:

112

Step-by-step explanation:

The surface area of the composite figure is 186 cm².

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Composite figure.

Two boxes.

The surface area of a box.

= 2 x (length x width + length x height + width x height)

Now,

The box on the bottom.

length = 5 cm

Width = 5 cm

Height = 3 cm

Surface area = 2 x (25 + 15 + 15) = 2 x 55 = 110 cm²

The box on the top.

length = 2 cm

Width = 5 cm

Height = 4 cm

Surface area = 2 x (10 + 8 + 20) = 2 x 38 = 76 cm²

Now,

The surface area.

= 110 + 76

= 186 cm²

Thus,

The given composite figure surface area is 186 cm².

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Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?

Answer:

2.) definition of vertical angles

3.)  the vertical angles theorem

4.) symmetric property of congruence

The length of shorter leg is 15 inches, length of longer leg is 36 inches and the length of hypotenuse is 39 inches.

What is right triangle?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angle.

Let,

x = Longer leg of triangle

y = Shorter leg of triangle

h = Hypotenuse of triangle

Given: The length of the longer leg of a right triangle is 6inches more than twice the length of the shorter leg.

The length of the hypotenuse is 9inches more than twice the length of the shorter leg.

⇒  x = 6 + 2y

    h = 9 + 2y

The given triangle is a right angled triangle.

⇒                                 x^2 + y^2 = h^2

                          (6 + 2y)^2 + y^2 = (9 + 2y)^2

                36 + 24y + 4y^2 + y^2 = 81 + 36y + 4y^2

                          36 + 24y + 5y^2 = 81 + 36y + 4y^2

36 - 81 + 24y - 36y + 5y^2 - 4y^2 = 0

                             -45 - 12y + y^2 = 0

                               y^2 - 12y - 45 = 0

                       y^2 - 15y + 3y - 45 = 0

                        y(y - 15) + 3(y - 15) = 0

                                 (y - 15)(y + 3) = 0

y - 15 = 0,   y + 3 = 0

y = 15,     y = -3

Since the length is not negative.

So, y = 15

Hence,

Shorter leg = 15 inchs

Longer leg = 6 + 2y = 6 + 2(15) = 36 inches

Hypotenuse = 9 + 2y = 9 + 2(15) = 39 inches

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a) Investment B is less risky based solely on the standard deviation.

b) Based on the coefficient of variation, Investment B is less risky.

c) The better measure of expected returns of the two investments is the coefficient of variation.

The coefficient of variation shows how spread out or variable the standard deviation is to population mean.

It is a ratio of the standard deviation compared to the population mean.

A higher coefficient of variation shows a greater dispersion or risk.

The formula for the coefficient of variation is given as follows:

Coefficient of Variation (CV) = (Standard Deviation/Mean) × 100.

Investments                            A           B

Expected annual returns      15%       12%

Standard deviations             10%        5%

Coefficient of variation = Standard deviation ÷ Expected annual returns x 100

Investment A = 66.67% (0.10/0.15 x 100)

Investment B = 41.67% (0.05/0.12 x 100)

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Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

4/6, 6/9, 8/12, 10/15

Step-by-step explanation:

The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.

The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Given,

Discount = 25%

Selling price = $60

Original price = x

Original price

= Selling price/1 - discount

= 60/ 1 - 0.25

= 60/ 0.75

= 80

The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.

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An equation with the formula of an acute angle is a²+b²>c².

Triangles can be categorised based on their sides and angles. According to the measurement of angles, a triangle is categorised as acute. A triangle is referred to as an acute triangle if all of its inner angles are smaller than 90°.

In an acute triangle, the following statement holds good for the length of the sides:

a²+b²>c²

b²+c²>a²

c²+a²>b²

Where a, b and c are the sides of a triangle.

Therefore, an equation with the formula of an acute angle is a²+b²>c².

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Answer:

Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.

Step-by-step explanation:

Answer:

I can't see it that wel..?m

A quadratic equation's solutions can be found using the quadratic formula, which is option D.

Explanation:

2x^2 - 5x +5 = 0.

x = - 5 +-[tex]\sqrt{5[/tex].

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A quadratic equation's solutions can be found using the quadratic formula, which is option D.

Any quadratic problem can be resolved using the quadratic formula. First, we change the equation's form to ax2+bx+c=0, where a, b, and c are the coefficients. Then, we enter these coefficients into the formula: (-b(b2-4ac))/(2a). View examples of how to apply the formula to a range of equations.

If necessary, simplify the right side while writing the left side as a square. Create two linear equations by combining the positive and negative square roots of the right side with the square root of the left side. Each of the two linear equations must be resolved.

2x^2 - 5x +5 = 0.

x = - 5 [tex]\pm[/tex] √5

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number of texts x price per text = total price

9 x price per text = 1.26

price per text = 1.26/9

price per text = $0.14

Hope this helps :)

-Jeron

If you need any more help on this just comment

the area between the curves y=[tex]x^{2}[/tex] and y=-3x is 9/2 sq units

By performing a definite integral between the two point, one may determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a & x = b. With the specified restrictions, integration may be used to compute this area.

The area between the curves y=[tex]x^{2}[/tex] and y=-3x

y=[tex]x^{2}[/tex] and y=-3x

firstly calculated the point of intersection. y = y

[tex]x^{2}[/tex]  = -3x

[tex]x^{2}[/tex]  + 3x = 0

x( x+ 3) = 0

x = 0 , x = -3

point of intersection is 0 , -3

Area = [tex]\int\limits _ {} \, x^{2} + 3xdx[/tex] from -3 to 0

Area  = [ [tex]x^{3}/3 + 3x^{2} /2[/tex] ] from -3 to 0

Area =   [ -27/3 + 27/2 ]

Area  = [ -9 + 27/2]

Area = [-18 + 27] / 2

Area = 9/2 sq units

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Answer:

see explanation

Step-by-step explanation:

1 rectangle could have the side lengths of 6 and 4

The other could have the side lengths of 8 and 3

(Hope this is what the question asked)

The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).

The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.

Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.

In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.

Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):

⇒ g(x) = 2 × 5(3)x = 10(3)x

Therefore, the required equation is g(x) = 10(3)x.

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Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

Answer: 6/4

Step-by-step explanation:

Pull terms out from under the radical.

3

(

8

√

8

)

Multiply

8

by

3

.

3

√

8

The result can be shown in multiple forms.

Exact Form:

6

√

4

Decimal Form:

0.61237243....

The rate at which 6 people will paint the house will be 135  [tex]m^{2}[/tex] per hour

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

According to the Given information

Applying Unitary Method

House painted by 2 people at the rate = 45 [tex]m^{2}[/tex] per hour

House painted by one person at the rate = [tex]\frac{45}{2}[/tex]  [tex]m^{2}[/tex] per hour

House painted by 6 people at the rate = [tex]\frac{45}{2}[/tex]× 6 [tex]m^{2}[/tex] per hour

                                                                = 135  [tex]m^{2}[/tex] per hour

Hence

The rate at which 6 people will paint the house will be 135  [tex]m^{2}[/tex] per hour

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The function is determined using speed and is found to be d = 120t.

Speed is generally the change in distance per unit time. (rate of change of distance)

To calculate speed, we will use speed = distance/time.

speed = 360/3

           = 120km/hr

Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.

120 = d/t

Hence, d = 120t.

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Answer: - sqrt3/2

Step-by-step explanation:

Answer:

40+32=342

Step-by-step explanation:

Using the commutative of addition change the position of 302 and 40 the expression is 40+302=342 [analysis]

The value of the expression -8.3 + 9.2 - 4.4 + 3.7 is 0.2.

A number system is defined as a system of writing to express numbers.

Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7.

The given expression is  -8.3 + 9.2 - 4.4 + 3.7.

The additive inverse should be as below

8.3-9.2+4.4-3.7

It is the error of Allens work.

-8.3 + 9.2 - 4.4 + 3.7.

-8.3-4.4+9.2+3.7

-12.7+12.9

Apply commutative property

12.9-12.7

0.2

Hence, 0.2 is the value of the expression -8.3 + 9.2 - 4.4 + 3.7.

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By evaluating a linear equation, we get that the amount she spent is $ 8.20 at the coffee shop.

What is linear equation explain?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept is called a "linear equation of two variables," where y and x are the variables.

Assuming x refills, the price is $ 2.95 for the initial cup and $ 1.50 for each additional cup.

     C(x) = $ 2.95 + $ 1.50 * x

We also know that she chose to purchase a bagel for $2.75 and that she received a $0.50 discount.

   By adding these we get

C(x) = $ 2.95 + $ 1.50 * x  + $ 2.75 = $ 0.50

C(x) = $5.20 + $ 1.50 * x

Now we want to find that she had 2 refills , then the total cost is

C(2) = $ 5.20 + $ 1.50 * 2

       = $ 8.20

Therefore, the total cost she spend at the coffee shop = $ 8.20

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Answer:

Step-by-step explanation:

The values of the expressions 12 + x is 18, 3x + y is 21, 4y - 10 is 14,

xy is 30.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Finding the value of given expression when x = 6 and y = 5 is simply replacing x and y with their numeric values.

Given,

12 + x.

= 12 + 6.

= 18.

3x + y.

= 3(5) + 6.

= 15 + 6.

= 21.

4y - 10.

= 4(6) - 10.

= 24 - 10.

= 14.

xy.

= (5)(6).

= 30.

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Answer: x=-10

Step-by-step explanation:

Given that  x/5=-2

multiply both sides of equation with 5

(x/5)*(5)=(-2)*(5)

x=-10

Reciprocal of zero is undefined. So all the real numbers do not have the

reciprocal.

The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal.

We have the statement,

''All real numbers have a reciprocal''.

To find a counterexample:

The reciprocal of the number zero will always have the value "undefined".

Since there is no number that, when multiplied by zero, produces the result 1.

If n is a real number, then 1/n will be n's reciprocal.

n = 1,

So, the reciprocal of 1 is 1/1 = 1.

n = -7,

So, the reciprocal of -7 is 1/-7= -1/7.

And n = 1/4

So, the reciprocal of 1/4 is 1/(1/4)= 4/1 = 4.

Hence, reciprocal of zero gives us to disprove the statement.

Therefore, All real numbers have the reciprocal, except zero.

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Answer: 1000 different flags

Step-by-step explanation:

So for the flag there are 10 color options and you need to have 3 different stripes. Where you are able to use a color more than once.

For the first stripe there are 10 options so it can be any of the 10 choices.

For the second option you are able to use any of the 10 colors again so it can be any of the 10 colors.

For the last option for stripe 3 you can pick from ay of the 10 colors so there are 10 color options is could be.

Now that you know the how many choices of color there can be for each stripe you multiple the color choice for each stripe by each other to get the number of combinations for different flags.

colors for stripe 1x  colors for stripe 2x colors for stripe 3= # of different flags

10x10x10=1000

so there can be 1000 different 3 stripe flags that can be made with 10 colors