15. Are the two triangles similar?
Yes or no? I think yes.
How do you know? I said, "The corresponding angles are congruent."

16. Are the two triangles similar?
Yes or no?
How do you know?

17. Are the two triangles similar?
Yes or no?
How do you know?

18. Are the two triangles similar?
Yes or no? I said yes
How do you know? I said, "The corresponding angles are congruent."

Are my answers to 15 and 18 correct? what are the answers to the others? Thank you​

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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6 + (36/6)

hope it helps

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

Answer:

The statement that is a claim that cannot be supported is **D. Smith Delivery Service will improve a person's business**. This statement is a claim because it asserts that using Smith Delivery Service will have a positive impact on a person's business. However, there is no evidence provided in the advertisement to support this claim.

Answer:

They were at an elevation of 1,000 feet after 1 hour of work.

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

first seperate the 2 and multiply

Step-by-step explanation:

Answer:

88.16 units

Step-by-step explanation:

The line at the far left is also = x

For right triangles

   Tan (angle ) = opposite leg / adjacent leg

      for this triangle    tan 10 = x / 500    

                 rearrange to    x = 500 tan 10° = 88.16 units

Answer:

x = - \(\frac{3}{4}\) , x = 1

Step-by-step explanation:

4x² = x + 3 ← subtract x + 3 from both sides

4x² - x - 3 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 4 × - 3 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(4x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

4x + 3 = 0 ( subtract 3 from each side )

4x = - 3 ( divide both sides by 4 )

x = - \(\frac{3}{4}\)

x - 1 = 0 ( add 1 to both sides )

x = 1

solutions are x = - \(\frac{3}{4}\) , x = 1

The areas of the trapezoid is 50 units².

The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:

area of trapezoid = 1 / 2 (a + b)h

where

Therefore,

a = 10 units

b = 15 units

Using Pythagoras's theorem,

5² - 3² = h²

h = √25 - 9

h = √16

h = 4 units

area of trapezoid = 1 / 2 (10 + 15)4

area of trapezoid = 1 / 2 × 25 × 4

area of trapezoid = 100 / 2

area of trapezoid = 50 units²

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Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

1. The height of the cone is, 22.18 mm.

2. The slant height is, 28.14 mm.

3. The ant crawl to get from the base of the cone to the top of the hill is, 28.14 mm.

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

The volume of cone V = (1/3)πr²h

Given that,

The volume  = 8792 mm³

1. by using the formula to solve for h,

we get h = (3V)/(πr²).

Plugging in the values given,

we have h = (3(8792 mm³))/(π(20 mm)²) ≈ 22.18 mm.

Therefore, the height of the cone is approximately 22.18 mm.

2. it is known that, from the Pythagoras theorem

s² = h² + r²,

where s is the slant height, h is the height, and r is the radius.

Plugging in the values we found in part 1,

we have s² = (22.18 mm)² + (20 mm)² ≈ 791.88 mm².

Taking the square root of both sides, we get s ≈ 28.14 mm.

Therefore, the slant height is approximately 28.14 mm.

3. To find the distance the ant crawls to get from the base of the cone to the top of the hill, we need to find the length of the slant height.

Using the value we found in part 2,

the length of the slant height is approximately 28.14 mm.

Therefore, that is the distance the ant would crawl to get from the base of the cone to the top of the hill.

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

one water bottle cost 15.4 dollars

Step-by-step explanation:

6.7 times 10 is 67

therefore the mom spent 67 dollars on jerseys

221 (total) minus 67 ( jersey) = 154

therefore she spent 154 dollars on water

154 divided by 10

=15.4

the water bottles cost 15.4 dollars

The set of ordered pairs of option A does not represent a function. The solution has been obtained using the properties of function.

What is a function?

A relationship between a number of inputs and one output per input is referred to as a function. Typically, a function is denoted by the notation f(x), where x is the input. Typically, a function is represented as y = f(x).

We know that for one input, a function can have only one output.

But, in option A, for the same input value 2, there are two output values 2 and 7. Whereas in other options, each input has only one output.

Hence, the set of ordered pairs of option A does not represent a function.

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Answer:

x + 5y ≤ 30

Step-by-step explanation:

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

17

Step-by-step explanation:

The answer is 17 because the operation PEMDAS

Answer:

17

Step-by-step explanation:

20/ 4+6x2 can be simplified. First, you can divide 20 by 4 because of the order PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) 20 divided by 4 is 5. You can then multiply 6 and 2 which gives you 12. Therefore, your equation is down to 5+12. You can add those two and you get 17 :) Hope this helps!! :D ~Happy Halloween~

Answer:

Step-by-step explanation:

-4y = -3x + 16

y = 3/4x - 4

y + 4 = 3/4(x - 4)

y + 4 = 3/4x - 3

y = 3/4x - 7

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

B. 35%

Step-by-step explanation:

P(winning $1.00)=40%

P(winning $5.00)=20%

P(winning $10.00)=5%

In a probability distribution, the sum of the probability must always be equal to 1.

Therefore:

P(winning $0.00)=1-(40%+20%+5%)

=1-(0.4+0.2+0.05)

=1-0.65

=0.35

The probability of winning nothing at all is 35%.

This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.  

In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality \(y \le x^2-3x\) true. So this is why we can rule choice A out.

Choice C is not a solution because (4,1) does not make \(y \le -x+3\) true. This point is not below the red diagonal line. We can cross choice C off the list.

Choice D is similar to choice A, which is why we can rule it out as well.

Answer:

The multiplication property of 1

Step-by-step explanation:

Any number that multiplied by one gives the number

The surface area of the complex solid is 530 square yards.

In this problem we need to determine the surface area of the complex solid, that is, the sum of the area of all faces of the solid. The area formulas required to find the surface area is:

A = w · h

Where:

The surface area of the complex solid is:

A = 2 · (11 yd) · (3 yd) + 2 · (4 yd)² + (12 yd) · (11 yd) + (12 yd) · (3 yd) + (12 yd) · (7 yd) + 2 · (4 yd) · (12 yd) + (12 yd) · (7 yd)

A = 66 yd² + 32 yd² + 132 yd² + 36 yd² + 84 yd² + 96 yd² + 84 yd²

A = 530 yd²

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Complete Question

The diagram of the barn is shown on the first uploaded image

Answer:

The cost is \(C = \$ 530\)

Step-by-step explanation:

From the question we are told that

   The  cost of one gallon of paint is  \(c = \$35\)

    The area the one gallon of paint covers is  \(A = 550 \ square\ feet\)

Generally from the diagram  the region of the barn which can be painted is mathematically represented as

       \(A =80 * 35 + 38 * 35 + 2( \frac{1}{2} * 38 * 2 )\)

=>    \(A = 8336 \ ft^2\)

From the question

     1 gallon  covers  500 square feet

     x gallon will cover  8336  square feet

So

       \(x = \frac{8336}{550}\)

=>    \(x =15 \ gallons\)

Generally the cost of 15 gallons of paint is mathematically represented as

       \(C = c * x\)

=>     \(C = 15 * 35\)

=>     \(C = \$ 530\)

Answer:

She can make 35 purses I hope this helps

Forgive me if I'm wrong.

Answer: C

Step-by-step explanation:

Answer

D $48.00 u need to multiply 216 and 12 to get 48

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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