Question 4! Andrew cut a rectangular piece of wood along a straight line, as shown below. 110° Andrew calculated that x = 70°. Which of the following statements justifies Andrew's calculations? 1 Consecutive interior angles are supplementary. 2 Adjacent angles formed by perpendicular lines are complementary. 3 Vertical angles are congruent. 4 Alternate exterior angles are congruent.

Answer:

Step-by-step explanation:

All you need is something that when you divide the right side (the way I've written it) by 2, you get 32 sqrt(2). So a must also have sqrt(2) in it. In addition, it must also have 16 as well so that when you multiply by 2, you get 32.

2a = 32*sqrt(2)                Divide by 2

a = 16*sqrt(2)

Answer:

Step-by-step explanation:

Answer:

(3 + 8u)(3 - 8u)

Step-by-step explanation:

Conjugated binomials

\((9-64u^{2} ) =(3+8u)(3-8u)\)

Hope this helps

Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is

\(\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)\)

Then using the FTC again, differentiating g gives

\(\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}\)

i think its ZN=2K

im not sure so please recheck it with someone else

Answer:

Your answer is: Use the percentage formula: P% * X = Y  

Step-by-step explanation:

Hope this helped : )  

Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y

Espero que esto haya ayudado :)

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

The required percent markup is 87.5%.

Here,
The markup is the difference between the selling price and the cost price, expressed as a percentage of the cost price.

Markup = ((Selling price - Cost price) / Cost price) x 100%

In this case, the cost of materials is $80 and the selling price is $150, so the markup is:

Markup = ((150 - 80) / 80) x 100%

Markup = (70 / 80) x 100%

Markup = 0.875 x 100%

Markup = 87.5%

Therefore, the percent markup is 87.5%.

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Answer:

I think 241.6 is you answer

Step-by-step explanation:

I hope I helped! to get the answer first you have to convert 5/8 into a whole number but 5/8 can never be a whole number so make it a decimal which equals to 0.625 then divide 151 / 0.625 and you should get 241.6 as your answer

Answer:

L=10cm , W=30cm

Step-by-step explanation:

First use the given that W=10+2*L

Use P=2W+2L=80, substitute W in the perimeter formula

2(10+2L)+2L=80 and solve for L,

20+4L+2L=80 isolate variable L and combine like terms,

6L=80-20,

L=10, so W=10+2*10=10+20=30

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

y= 11x

Step-by-step explanation:

find the slope: 22-11/2-1= 11/1 or 11

To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x

Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19

Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.

A microscope dilates a specific specimen four times larger. A microscope, a projector, a model boat, or a model of a city. All of these use dilation..

_______________________________

And your question is which one is it? Well it's all of the above.

\(\color{red}{\tt{Hope \ It \ Helps}} \)

Answer:1 +2+3 +4

Step-by-step explanation:

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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The number of months that it will take for both firms to have same servicing costs is; 9 months

The landscaping service will be less expensive in the long term is; Evergreen

We are told that Evergreen charges a $79 startup fee and $39 per month.

Eco Solutions charges a $25 startup fee and $45 per month

Let c represent the total cost in dollars and t represent the time in

months.

Thus;

c = 79 + 39t

c = 25 + 45t

The month that both will have same servicing costs is;

79 + 39t = 45t + 25

79 - 25 = 45t - 39t

54 = 6t

t = 54/6

t = 9 months

The landscaping firm that will cost more in the long run is Eco solutions because they charge more per month.

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Answer:

Region D

Step-by-step explanation:

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Answer:

cierto

Step-by-step explanation:

Answer:

After the passage of one month, the finance charge that Edmund must pay will be $ 8.97.

Step-by-step explanation:

Given that Edmund has an unpaid balance of $ 598 on his credit card, and that said credit card has an annual interest of 18% on the unpaid balances, to determine how much he will have to pay after a month of expiration of his debt, it is necessary to perform the following calculation:

12 = 18

1 = X

18/12 = X

1.5 = X

(598 x 1.5 / 100) + 598 = X

8.97 + 598 = X

606.97 = X

Thus, after the passage of one month, the finance charge that Edmund must pay will be $ 8.97.

Answer:

PR=55

Step-by-step explanation:

a^2+b^2=c^2

48^2+b^2=73^2

2304+b^2=5329

b^2=5329-2304

b^2=3025

b=55

The probability that a eighth grader chosen at random will play an instrument other than drums is a 23 / 33

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

In this problem, we have been given Casho recorded the grade-level and instrument of everyone in the middle school School of Rock

Seventh Grade Students

5 + 10 + 13 + 13 = 41

There is a total of 41 seventh graders.

Eighth Grade Students

9 + 10 + 10 + 4 = 33

There is a total of 33 Eighth graders.

Of those, 33 - 10 = 23 play instruments that are not the drum.

Hence,  the probability that an eighth grader chosen at random will play an instrument other than drums

= 23 / 33

There is a 23 / 33  probability that a eighth grader chosen at random will play an instrument other than drums.

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Responder:

17

Explicación paso a paso:

Dejar ;

Edad de Eva = x

Edad de Ana = x - 12

Dentro de los 7 años de la edad de Eva, la edad de Ana será el doble

x + 7 = 2 (x - 12 + 7)

x + 7 = 2 (x - 5)

x + 7 = 2x - 10

x - 2x = - 10 - 7

-x = - 17

x = 17

Por lo tanto, Eva tiene 17 años.

Answer:

Height = 132 mt

Step-by-step explanation:

Shadow lengths are proportional to the height of the object.

So, multiply the length of the tree's shadow by your height.

If you are 5 feet (1.5 meters) tall, and the length of  shadow is 88 meters long,

Multiply them together: 1.5 x 88 = 132 mt.

Hence, Height = 132 mt.

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Answer:

876

Step-by-step explanation:

Answer:

1) m = 9/2, n = 9

3) x = y = (3√2)/2

Step-by-step explanation:

1) We have a 30°-60°-90° right triangle, so the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is (9√3)/2, so m, the length of the shorter leg, is 9/2, and n, the length of the hypotenuse, is 18/2, or 9.

3) We have an isosceles right triangle, so the length of the hypotenuse is √2 times the length of each leg. The length of the hypotenuse is 3, so x and y, the lengths of the two congruent legs, are 3/√2, or (3√2)/2.