Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z

Answer:

D

Step-by-step explanation:

1×2=2

1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]

The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.

We know that, tanθ=Opposite/Adjacent

So, tan30°=1/s

1/√3 = 1/s

s=√3

We know that, sinθ=Opposite/Hypotenuse

sin30°=1/h

1/2 = 1/h

h=2

Therefore, option D is the correct answer.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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235.5 units^2 or 75π

Here is why:

The formula for the surface area of a cone is...

[tex]SA=\pi r^2+\pi rl[/tex]

Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.

[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]

[tex]SA=78.5+157[/tex]

[tex]SA=[/tex]

235.5

Now that we have the approximate answer, we will find the exact answer or the answer in pi.

[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]

[tex]SA=25\pi +50\pi[/tex]

[tex]SA=[/tex]

75π

~

The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.

Answer:

67.5

Step-by-step explanation:

Answer:

Step-by-step:

Well, the probability for getting an even number on the first roll is 1/2

The probability for getting not 5 would be 5/6

You can make a tree diagram.

      1                     2                   3                    4                5                    6

1  2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6   1 2 3 4 5 6     1 2 3 4 5 6      1 2 3 4 5 6

The numbers on the top represent the first roll. The numbers on the bottom represent the second roll. The first roll should be an even number, so we know that we should be looking at the even numbers. The second one should be anything but 5. So, what I did was look at the numbers that weren't 5. Look at the diagram with the even number at the top. then, look at the numbers that aren't 5 below. Since there are 5 numbers that aren't 5, and 3 even numbers, multiply 3 x 5 and you'll have 15. So add all the numbers at the bottom and that would be 36, so it's 15/36.

Answer:

x = 7

y = 7

Step-by-step explanation:

So from this we can pull that x, y = pos

pos so 3(x) = 21

x= 7

Same

7, 7

x = 7, y = 7

Hope this helps!

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

Answer:

4.5 or 4 1/2 miles

Step-by-step explanation:

[tex]\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5[/tex]

Hope this helps!

Answer:

3x - 1 = 0

Step-by-step explanation:

3x + 1 = 0

The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.

So the answer is 3x - 1 = 0

Answer:

total cinnamon sold = 15

total cranberry sold = 40

so, according to the question

cranberry - cinnamon muffin

40-15

25

Hence, 25 cranberry muffins were sold more than cinnamon muffins.

The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.

Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.

We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.

Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:

2/3 = x/60

Where x is the number of cranberry muffins sold.

Multiplying both sides of the equation by 60, we get:

2/3 * 60 = x

Simplifying, we get:

x = 40

So, 40 cranberry muffins were sold on Monday.

Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:

4/1 = 60/y

Where y is the number of cinnamon muffins sold.

Multiplying both sides of the equation by y, we get:

4y = 60

Dividing both sides of the equation by 4, we get:

y = 15

So, 15 cinnamon muffins were sold on Monday.

Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:

40 - 15 = 25

Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.

To know more about an expression follow

https://brainly.com/question/16790323

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Steps to solve:

5x^3 * 2x^2

~Apply exponent rule

5x^3+2 * 2x

~Simplify

5x^5 * 2x

~Combine like terms

10x^5

Best of Luck!

The first one on the left.

The vertical bars mean we take the absolute value of that number.

Absolute value means distance from zero on a number line.

So the absolute value of any number

is the positive version of that number.

So for the one on the left we have |-100| > |50|.

Since absolute value represents the positive version

of a number, the absolute value of -100 will be 100.

Since |50| is already positive, it stays the same.

So we have 100 > 50 which is indeed a true statement.

If you solve the other ones, you will see that they are false.

Answer:

the first one on the left side

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

multiply 2x2x3x3x5x5

4x9x25 which is 900

Answer: The answer is (2)

Just evaluate the functions with the values of the figure

The number of ways can the teacher assign out is 75.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 15\times 5[/tex]

= 75

Therefore we can conclude that The number of ways can the teacher assign out is 75.

Learn more: brainly.com/question/17429689

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

odysseywar said i got it right

Answer:

x² - 10x + 16 = 0

Step-by-step explanation:

Given the solutions x = 8 and x = 2 , then the factors are

(x - 8) and (x - 2) and the equation is

(x - 8)(x - 2) = 0 ← expand left side using FOIL

x² - 10x + 16 = 0

Answer:

to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator

Answer:

-6x

check the attachment i provided

Step-by-step explanation:

[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]

Answer:

-6x

Step-by-step explanation:

All you have to do is subtract the constants, because the variable is going to be there always

Answer:

$ 3.60 ; Type in 3.60

Step-by-step explanation:

Consider the steps below;

[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 3.60

Answer:

b) 68%

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Step-by-step explanation:

Let 'X' be the normally distributed

mean 'μ'= 4 inches

standard deviation 'σ' = 0.2 inches

Case(i):-

when x₁ = 3.8 inches

[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]

Case(ii):-

when  x₂= 3.8 inches

[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]

The probability of the parts will have lengths between 3.8 in and 4.2 in

[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]

                        = P(Z≤1) - P(Z≤-1)

                        =  0.5 +A(1) -(0.5-A(1)

                       = 2 A(1)

                       = 2×0.3413

                      = 0.6826

Conclusion:-

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Answer:

B

Step-by-step explanation:

E2020

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3 = 5 1/3

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3

= 5 1/3

Hope this helps!

Answer:

12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees

Answer:

14 lines shape symmetry

Answer:

Brainliest here!

Step-by-step explanation:

Solve using a online calculator

(-16,-7)

Answer:

x= -16, y= -7

Step-by-step explanation:

x= -9+y

-6x+11y= 19

---------

-6(-9+y)+11y=19

54-6y+11y=19

54+5y=19

5y= 19-54

5y= - 35

y= -35/5

y= -7

x= -9+(-7)= -16

Answer:

your answers are already  matched up

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-5/3)(-5/3)= 25/9= 2 7/9

Answer:

For each x increase of 1, the y increases by a common factor of 3. (second answer listed)

Step-by-step explanation:

Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.

Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:

[tex]f(x)=a\,\,b^x[/tex]

to be called exponential.

So every time that x increases by one unit, the following happens:

[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]

So notice that the original function ends up being just multiplied by the common factor "b".

The other options don't describe such behavior.

Answer:

For each x increase of 1, the y increases by a common factor of 3.

Step-by-step explanation: hope it helps ^w^

Answer:

B,C, E

Step-by-step explanation:

A

a+11=15

8+11 = 19

false

B

1=8÷a

1 = 8÷8

1=1  true

C

15+a=23

15+8 = 23

23 = 23

true

D

42=7a

42 = 7*8

42 = 56

false

E

a-5=3

8-5 = 3

3=3 true

Answer:

y = 4x -3

Step-by-step explanation: