I think of a number. I square root it and
then subtract 3. The answer is 2. What number am I thinking of?

In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,

∠A = ∠L, ∠D =∠M , ∠C = ∠N , and

AB = LB , CD = NM ,  DA = ML.

Quadrilateral ABCD rotates 180 degrees around point B,

New quadrilateral formed named LBMN

The corresponding angle after rotation of 180 degrees around B is equals to,

B remain at same position.

A rotates and point L take the position of A.

D rotates and point M take the position of D.

C rotates and point N take the position of C.

Corresponding angle to A is angle L.

Corresponding angle to D is angle M.

Corresponding angle to C is angle N.

Similarly corresponding segments are of ABCD and LBNM are

Line segment AB corresponds to line segment LB.

Line segment CD corresponds to line segment NM

Line segment DA corresponds to line segment ML.

Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.

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Answer:

5

Step-by-step explanation:

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

Answer:

Weak negative correlation

Step-by-step explanation:

The scatter plot shown in the graph above indicates a negative correlation between the x-variables and the y-variables, because, as the variables on the x-axis increases, the variables on the y-axis decreases.

Also, the if we are to draw a line of best fit to connect some of the data points on a straight line, we would see that a number of the data points would be far apart from each other away from the line. The data points are not much clustered around the line of best fit, therefore, this shows that the negative correlation between the variables is a weak one.

The data represented on the scatter plot show a weak negative correlation.

Step-by-step explanation:

the slope is the y/x ratio of the x and y coordinate differences when going from one point to the other. it is in the line equation always the factor of x.

(-7, -6) to (3, -6)

x changes by 10 units (from -7 to 3).

y changes by 0 units.

so, the slope is 0/10 = 0

it is a horizontal line at y = -6

(8, 2) to (8, -3)

x changes by 0 units.

y changes by 5 units (from 2 to -3).

so, the slope is 5/0 which is infinite.

it is a vertical line at x = 8

Answer:

32

Step-by-step explanation:

Answer: D -3x/2+5

Step-by-step explanation:

2(8-6x+12)

2(-6x+20)

-12x+40

-3x/2+5 (Division by 8)

Answer:

well i mean ur right who said were friends

Step-by-step explanation:

Answer: 56

Step-by-step explanation:

56

Answer:

931- 48 = 883

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

If the 2 is an exponent, it needs to be written as ^2.

(5+√3)²  = 5² + 10√3 + 3 = 28 + 10√3

The value of x and the unknown angles of the triangle are as follows;

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore, let's find the value of x using the exterior angle theorem.

Hence,

37 + 3x + 47 = 5x + 62

3x - 5x + 37 + 47 = 62

-2x = 62 - 37 - 47

-2x = -22

x = -22 / -2

x = 11

Therefore, the angles are as follows:

3x + 47 = 3(11) + 47 = 33 + 47  = 80 degrees

5x + 62 = 5(11) + 62 = 55 + 62 = 117 degrees

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Answer:

S=sin −1 (1.8266968)=ERROR

No possible triangles

Step-by-step explanation:

Answer:

4) r = 10 yd

   d = 20 yd

5) r = 7 in

   d = 14 in

6) r = 15 ft

   d = 30 ft

7) r = 23 in

   d = 46 in

8) r = 16 yd

   d = 8 yd

9) r = 21 ft

   d = 42 ft

Step-by-step explanation:

Diameter = 2 x radius

*diameter (d)*

*radius (r)*

a) 0.04550 has four significant figures.

b) 5.0003 has four significant figures.

c) 1.000 x \(10^5\) has four significant figures.

d) 0.00002 has one significant figure.

e) 1.01 x \(10^{-2}\) has three significant figures.

f) 7 has one significant figure.

Significant figures are the digits in a number that are known with certainty, including one uncertain digit. In general, any non-zero digit is considered a significant figure, and zeros between non-zero digits are also significant figures.

Leading zeros before the first non-zero digit and trailing zeros after the last non-zero digit are not considered significant figures.

For example, in the given number 5.006, there is four significant number,

since all zeros between integers are always significant.

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

1 \(\frac{11}{12}\)

Step-by-step explanation:

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

b

Step-by-step explanation:

According to the information, this number on an abacus would look like this: tens of a thousand = 10,000, units of a thousand = 6,000, hundreds = 500, tens = 10, and units = 6.

To illustrate this value on an abacus we must find the number of this operation as shown below:

Now we must express it in an abacus, then we must separate each number by classifying it in the type of units to which it corresponds as shown below:

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Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:

Common multiples of 2 and 3 include 6, 12, 18, and 24

Step-by-step explanation:

Answer: If the price of a four-star meal has increased by 400%, it means that the current price is 4 times the original price.

So, current price = 4 x $110 = $<<4*110=440>>440 per couple.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sinθ = opp/hyp

ssin30 = 17 / y

y = 17 / sin30 = 17 /0.5 = 34

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

Step-by-step explanation:

4x + y = 23

3x - y = 11

I got x = 34/7

Answer:it will be x= 34/7 and y= 25/7

Step-by-step explanation:4x+y=23for y:

4x+y=23

4x+y+−4x=23+−4x(Add -4x to both sides)

y=−4x+23

−4x+23foryin3x−y=11:

3x−y=11

3x−(−4x+23)=11

7x−23=11(Simplify both sides of the equation)

7x−23+23=11+23(Add 23 to both sides)

7x=34

7x

7

=

34

7

(Divide both sides by 7)

x=

34

7  

Step: Substitute

34

7

forxiny=−4x+23:

y=−4x+23

y=−4(

34

7

)+23

y=

25

7

(Simplify both sides of the equation)  

Answer:

x=

34

7

and y=

25

7  

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer: There is a 5.32544378% Chance of a face card being pulled twice

Step-by-step explanation: If there is 52 cards in a deck, and 12 of them are face cards, there is roughly a 23% (23.0769%) chance of pulling one in the first draw. Multiply .230769 x .230769 and you get .0532544378 which equals 5.32544378%

Answer:

12.0625 pounds.

Step-by-step explanation:

To find your answer, divide the number of ounces by 16. The quotient is the number of pounds.

\(-2x+6=12\\2x=-6\\x=-3\)

Answer:

A (8, -7)

Step by step explaination:

The reflection of point J on the coordinate plane is J(8,-7).

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected.

Given that the point (8,.7) is reflected on the x-axis. The reflected coordinates are,

J(8,7) ⇒ j'(8,-7)

Therefore, the reflection of point J on the coordinate plane is J(8,-7).

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