Pick a square that doesn’t belong with the others and explain why you made your choice

Given:

The measure of one angle in the figure is 50 degrees.

To find:

The missing angle in the figure.

Solution:

Let x be the measure of the missing angle. Then

\(x+50^\circ=180^\circ\)                     [Supplementary angles]

\(x=180^\circ-50^\circ\)

\(x=130^\circ\)

Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.

Answer: 34990

Step-by-step explanation:

Answer:

Bottom right

Step-by-step explanation

Answer:

first answer is correct

Answer:

Estimated population of New Hampshire is

A. 35,000

The perimeter of the composite figure would be = 21 (to the nearest tenth).

Perimeter is defined as the quantity that is used to evaluate the total length of the sides of an object.

From the given diagram, the composite figure is made up of 6 sides. The addition of these sides is the figures perimeter.

The sides of the composite figure are:

a = 6; b = 12; c = 9; d = 9; e = -9; f = -6.

The perimeter = a + b + c + d + e + f.

= 6 + 12 + 9 +9+ (-9) + (-6)

= 27 - 6

= 21 ( to the nearest tenth)

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Answer:

x= -6/5

Step-by-step explanation:

-2x=3x +6

collect like terms

-6=3x+2x

-6=5x

x= -6/5

Answer: x= -6/5 make that a fraction

decimal form: x= -1.2

mixed number form: x= - 1 1/5, 1 is the whole number

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

We have,

To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,

We will follow the three steps of mathematical induction:

The base case, the induction hypothesis, and the inductive step.

Step 1: Base case

Let's start by checking if the equation holds true for the base case, which is n = 1.

When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.

Since LHS = RHS for the base case, the equation holds true.

Step 2: Induction hypothesis

Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:

1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6

Step 3: Inductive step

We need to prove that if the equation holds true for k, it also holds true for k + 1.

Starting with the left-hand side of the equation, we add (k + 1)² to both sides:

1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²

Simplifying the right-hand side:

= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6

= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6

= (2k³ + 9k² + 13k + 6) / 6

= [(k + 1)(k + 2)(2k + 3)] / 6

We can see that the right-hand side is now in the form

(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.

Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.

Therefore,

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

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Answer:

3s+10s+10s+3s=9+3+3+9

26s=24

s=26+24

s=50 cm

Answer:

4 feet

Step-by-step explanation:

If the standard step height is 8", this means that every step in a staircase will have a height of 8". If there are a total of 6 steps in the staircase we can simply multiply the number of steps by the height of each individual step to get the total height of the top landing. Like so...

6 * 8 = 48"

Finally, we can see that the top landing for the stairs is 48". We can turn this into feet by dividing by 12 since there are 12" in a foot

48 / 12 = 4 feet

Therefore, the top landing will have 4 feet ( or 48 inches)

steps

(x) = 5x^2-3x+7

refine

x=5x^2-3x+7

Switch sides

5x^2-3x+7-x=x-x

Subtract x from both sides

5x^2-4x+7=0

Solve with the quadratic formula

The classroom had 24 glue bottles.

We have,

If the ratio of glue sticks to glue bottles is 7 : 4, we can express this as 7/4.

We can set up a proportion to solve for the number of glue bottles:

7/4 = 42/x

where x is the number of glue bottles. To solve for x, we can cross-multiply:

7x = 4 x 42

7x = 168

x = 24

Therefore,

The classroom had 24 glue bottles.

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Answer:

for 0.4x – 3y = 7

Step-by-step explanation:

The answer is Changes made to your input should not affect the solution:

(1): "0.4" was replaced by "(4/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (4/10)*x-3*y-(7)=0

STEP

1

:

           2

Simplify   —

           5

Equation at the end of step

1

:

   2                

 ((— • x) -  3y) -  7  = 0

   5                

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

         3y     3y • 5

   3y =  ——  =  ——————

         1        5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x - (3y • 5)     2x - 15y

—————————————  =  ————————

      5              5    

Equation at the end of step

2

:

 (2x - 15y)    

 —————————— -  7  = 0

     5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        7     7 • 5

   7 =  —  =  —————

        1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2x-15y) - (7 • 5)     2x - 15y - 35

——————————————————  =  —————————————

        5                    5      

Equation at the end of step

3

:

 2x - 15y - 35

 —————————————  = 0

       5      

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2x-15y-35

 ————————— • 5 = 0 • 5

     5    

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2x-15y-35  = 0

Equation of a Straight Line

4.2     Solve   2x-15y-35  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2x-15y-35  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333

 y-intercept = 35/-15 = 7/-3  = -2.33333

Calculate the X-Intercept :

When y = 0 the value of x is 35/2 Our line therefore "cuts" the x axis at x=17.50000

 x-intercept = 35/2  = 17.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.333 and for x=2.000, the value of y is -2.067. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.067 - (-2.333) = 0.267 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.267/2.000 =  0.133

Geometric figure: Straight Line

 Slope = 0.267/2.000 = 0.133

 x-intercept = 35/2 = 17.50000

 y-intercept = 35/-15 = 7/-3 = -2.33333

Answer:

22.5

Step-by-step explanation:

\(4-9+\dfrac{5}{6}\cdot 33= \\\\\\4-9+27.5= \\\\\\-5+27.5= \\\\\\22.5\)

Hope this helps!

Answer:

22.5

Step-by-step explanation:

4-9+5/6*33

-5+165/6

= 22.5

The volume of Brody's display case is 270 cubic inches.

Brody's display case is shaped like a rectangular prism with a length of 15 inches, a width of 9 inches, and a height of 2 inches.

A rectangular prism is a three-dimensional shape that has six faces that are all rectangles. It is also sometimes called a rectangular cuboid.

The volume of a rectangular prism is the amount of space inside the prism and is given by the formula:

Volume = length x width x height

where "length" refers to the longest side of the prism, "width" refers to the second longest side of the prism, and "height" refers to the shortest side of the prism.

To find the volume of a rectangular prism, you simply need to multiply the length, width, and height of the prism together. The resulting value will have cubic units, such as cubic inches, cubic centimeters, or cubic feet, depending on the units used for the length, width, and height.

To find the volume of the display case, we simply need to multiply its length, width, and height together. Using the values you provided:

Volume = length x width x height

Volume = 15 inches x 9 inches x 2 inches

Volume = 270 cubic inches

Therefore, the volume of Brody's display case is 270 cubic inches.

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Given the matrix A :

The determinant of the matrix will be =

Now, we will find the transpose of the matrix :

Then, find the elements of the inverse :

So, the inverse will be :

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

The temperature at 11pm after given the information regarding the weather is -15°F.

Temperature simply means the degree of hotness and coldness if a particular body.

From the information, the temperature at 7 PM at the weather station in Minnesota is -5°F. The temperature at 11pm will be:

Note that 7pm to 11pm is 4 hours.

This will be:

= -5 - 4(-2.5)

= -5 - 10

= -15

The temperature will be -15°F.

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Complete question

The temperature at 7 PM at the weather station in Minnesota is -5°F. What is the temperature at 11pm if the temperature began changing at -2.5°F per hour

Answer:  \(\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}\)

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c²   , where "c" is the hypotenuse

\(9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}\)

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

\(10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}\)

Note: 12² + opposite² = 20²   →   opposite = 16

\(11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}\)

Note: adjacent² + 5² = 6²   →   adjacent = √11

\(12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}\)

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

Answer:

2x² - 8

Step-by-step explanation:

Answer:

343 cm³

Step-by-step explanation:

V = 343 cm³

Surface A = 294 cm²

Answer:

help

Step-by-step explanation:

Answer:

x = 77,  x = -77

Step-by-step explanation:

|x| – 17 = 60

Add 17 to each side

|x| – 17+17 = 60+17

|x|  = 77

The absolute value equation has two solutions, one positive and one negative

x = 77,  x = -77

Answer:

x=77

Step-by-step explanation:

Hope this helps!!!!

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Answer: x =  50.3°

Step-by-step explanation:

     We are given an angle, an opposite side to this angle, and the hypotenuse. This means we will utilize the sine function.

     Given:

\(\displaystyle sin(\theta) =\frac{opposite\;side}{hypotenuse}\)

     Substitute known values:

\(\displaystyle sin(x) =\frac{30}{39}\)

     Take the inverse of sine for both sides.

\(sin^{-1}(\displaystyle sin(x)) =sin^{-1}(\frac{30}{39})\)

     Compute the inverse of sine of \(\frac{30}{39}\).

\(\displaystyle x \approx 50.3\°\)

Answer:

1. x = 15

2. x = 26

3. x = 7.6157731059 (you can round this answer to 8 or 7.6)

4. x = 11.7

5. x = 25

6. x = 1.4

7. x = 22.5

8. x = 38.4

9. x =  10.3    v = 5.8

For some of them, I had to use estimation.  

I used this formula : a^2 + b^2 = c^2

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).