What is the value of x in this figure?

Enter your answer in the box.

x =

The figure contains a pair intersecting lines. One angle is labeled 114 degrees. The angle that is opposite and not adjacent to this angle is labeled x degrees.

Answer:

1.cosx×cscx

=cosx×1/sinx

=cosx/sinx

=cotx

2.cotx×secx×sinx

=1/tanx×1/cosx×sinx

=1/tanx×sinx/cosx

=1/tanx×tanx

=1

hope it helps you

Answer:

The number is 2.

Step-by-step explanation:

You can write this as an algebriac equation, where the "number" is x:

8x - 2 = x + 12

Then, solve for x:

8x = x + 14
7x = 14

x = 2

Out of all 252 twelfth graders, 114 rode in a car to school

The proportion of students that rode in a car is given as:

p = 45.24%

So, the number of students that rode in a car is:

Students = 45.24% * 252

Evaluate the product

Students = 114.008

Approximate

Student = 114

Hence, 114 rode in a car to school

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Answer:

1/4

Step-by-step explanation:

5 black marbles out of  20 total    is    5 /20 = 1/4

Answer:

3rd one

Step-by-step explanation:

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

[tex]\rm P = 18500\times (0.95995)^n[/tex]

The linear function describes car 2.

[tex]\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500[/tex]

Then the value of the car 1 after 10 years will be

[tex]\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5[/tex]

Then the value of the car 2 after 10 years will be

[tex]\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33[/tex]

Yes, there is a significant difference.

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Explanation:

Let's find the slope of the line through those two points.

[tex](x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 1}{4 - 2}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]

Then we can apply point-slope form to transform it into slope-intercept form.

[tex]y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\[/tex]

Answer:

let point A be (2,1) and

B be (4,9)

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The triangle is a shape with 3 sides and angles. The value of z from the given figure to the nearest tenth is 3.2

The triangle is a shape with 3 sides and angles

From the given triangle, we will use the expression below to determine the value of z

2.6/sin51= z/sin76

simplify

z = 2.6sin76/sin51
z = 2.5227/0.7771

z = 3.246

Hence the value of z from the given figure to the nearest tenth is 3.2

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Answer:  The amount of grain it can hold can also be called it's volume. 423.9

The formula for volume is PI × Raduis² × Height

And for the radius we divide the diameter by 2.

Answer:

Option A.

V = π × r(9)² × 15 ≈ 3,817.04

Which rounds closest to

3,815.10 inches

Answer:

The correct answer is cone.

Step-by-step explanation:

Hope this helps:) Goodluck!

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

Answer:

See below for answers and explanation

Step-by-step explanation:

A statistical question has variability in collecting the data, and doesn't have one definitive answer:

Question 1: How many of Mrs. Malone's students earned an A for the first nine weeks? This is not a statistical question because you can narrow down exactly how many.

Question 2: How many students missed question #5 on Mrs. Malone's math test yesterday? This is not a statistical question because you can easily take all the worksheets done on the math test and find an exact number.

Question 3: How many of Mrs Malone's students turn in their homework each day? This is a statistical question because not every student will consistently turn in their homework each day, so there will be variability while collecting that data.

Hence, Question 3 is a statistical question

Answer:

Length: 18 inches

Width: 6 inches

Step-by-step explanation:

l+w=24

l=3w    w=1w

3w+w=24

       w=6

Length: 3*6=18 inches

Width: 6 inches

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

Slope of the graph can be expressed as :

[tex]\qquad \sf  \dashrightarrow \:slope = \tan( \theta) = \dfrac{4}{5}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{30} = \dfrac{4}{5} [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = \dfrac{4}{5} \times 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = {4}{} \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 24 \: units[/tex]

So, the value of x is 24 units

Answer: All you would do is 3 miles north 4 miles east

Step-by-step explanation:

That is what gogle said lol

Answer:

10

Step-by-step explanation:

Square root of 74 is 8.6.

Using the pythagoras theorem,

7²+x²(half)=8.6²

49+x²(half)=74

x²=25, x=5

Now we found the half of x, we are going to add the other side which is 5+5=10

The equation that has exactly one solution will be 2x + 31 = - 2x - 31. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given.

Check whether the equation is linear or not.

1.   2x + 31 = 2x - 31, this is not a linear equation.

2.  2x + 31 = - 2x - 31, this is a linear equation.

Then the solution of the linear equation will be

4x = - 62

 x = - 15.5

3.  2x + 31 = 2x - 31, this is not a linear equation.

4.    2x - 2 = 2x - 31, this is not a linear equation.

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Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

Feel free to ask for more if needed or if you did not understand something.

Step-by-step explanation:

no, no, you use the equation to identify a, b and c.

then you use the formula with these values to get the solutions to the equation (the values of x for which the equation delivers 0).

always remember, a quadratic equation always has 2 solutions. sometimes at least one of them are not a real number, sometimes the 2 springs are equal, ...

x² - 4x - 2 = 0

a, b, c are the factors of the terms in x and the constant term.

so,

a = 1

b = -4

c = -2

x = (-b ± sqrt(b² - 4ac))/(2a)

x = (4 ± sqrt((-4)² - 4×1×-2))/(2×1) =

= (4 ± sqrt(16 + 8))/2 = (4 ± sqrt(24))/2 =

= (4 ± sqrt(4×6))/2 = (4 ± 2×sqrt(6)) / 2 =

= 2 ± sqrt(6)

x1 = 2 + sqrt(6)

x2 = 2 - sqrt(6)

Answer:

x = 4.45 and x=-0.45

Step-by-step explanation:

A = 1

B= -4

C = -2

= [tex]\frac{-(-4) \sqrt{ (-4)^{2} -4 (1)(-2) } }{2(1)}[/tex]

= [tex]\frac{4\sqrt{16+8} }{2}[/tex]

=  [tex]\frac{4\sqrt{24} }{2}[/tex]

X = 4 + [tex]\sqrt{24}[/tex] / 2

x = 4.45

For x2

x= 4 - [tex]\sqrt{24}[/tex] / 2

x=-0.45

Answer:

2.5 > 2 2/5

Step-by-step explanation:

2 2/5 = 2.4

2.4 is less than 2.5

Answer:

21 feet

Step-by-step explanation:

It increases by a rate of 2.33333333,we know this by doing 14 divided by 6. 9 x 2.33333333 is 21

(although this might be incorrect)

Answer:

21 feet

Step-by-step explanation:

Ratio between height and distance from point on ground :

Taking ratio between x and  14 :

Answer:

the answer is c=34

Step-by-step explanation:

use the pythogoras therom since there is a right angle triangle c2=a2+b2

hope this helped:)

Answer:

34

Step-by-step explanation:

[tex]Formula: a^2+B^2=C^2[/tex]

[tex]30^2= 900 \\\\16^2= 256\\\\900+256= 1156\\\\[/tex]

[tex]c^2=1156[/tex]

to find the answer we have to figure out what times itself = 1156

30x30=900 greater than 30 35x35=1225 less than 35

Answer: 48

Step-by-step explanation: 50 is the hypotenuse

14 is the opposite side - its opposite of angle Q

Answer:

As a fraction it would be 4.5

Step-by-step explanation:

3/4 × 6 = 92 = 4 12 = 4.5

Answer:  The correct option is (A) (2, -2).

Step-by-step explanation:  Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.

We are to find the location of the image of point K after the rotation.

We know that

a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.

From the figure, we see that the co-ordinates of point K are (2, -2).

Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,

the co-ordinates of the image of point K will also be (2, -2).

Thus, the location of the image of point K is (2, -2).

Option (A) is CORRECT.

Answer:

A

Step-by-step explanation:

The probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = 36

The probability that the sum is 12:

P(A) = 1/36

The probability that the sum is less than 5:

P(B) = 6/36

The probability:

P(sum of 12 OR <5) = 1/36 + 6/36 = 7/36

Thus, the probability P (sum of 12 OR <5) is 7/36 because the total outcomes are 36.

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Answer: 7.81

Step-by-step explanation:

Answer:

[tex]3^{6}[/tex] is the answer your looking for

Step-by-step explanation:

Answer:

B) y = x - 50

Step-by-step explanation:

It is B because the graph's y-intercept lies on the point (0, -50), hence the equation, y = x - 50. In addition, you can verify that B is the correct answer because the slope of the graph is positive, and so the x-value also must be positive.

Given

Length =9 m

Breadth =6 m

Area of the rectangle= (length × breadth) sq. units

=(9×6) m

2

=54 m

2

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