Vertical angles are supplementary, true or false?

Answer:

15

Step-by-step explanation:

This problem is quite simple; that is, if you know the proper formula that must be applied in finding the distance. The formula for finding the distance between two coordinate points is: √(x2-x1)^2+(y2-y1)^2. Now, obviously, (x2-x1)^2 and (y2-y1)^2 are both under the radical, where x2 and y2 represent the xy coordinates of point A (7,4) and x1 and y1 represent the xy coordinates of point B (-8,4). Now, all you must do is plug the points into the distance formula to get the answer, 15.

The distance between the two points is 15 units.

The coordinate points are A (7, 4) and B (-8,4).

The formula to find the distance between two coordinate points is Distance=[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}}[/tex].

Now, the distance between two coordinate points=[tex]\sqrt{(-8-7)^{2} +(4-4)^{2}}[/tex]

=√225

=15 units

Therefore, the distance between the two points is 15 units.

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Answer:

y = - [tex]\frac{1}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)

m = [tex]\frac{6-2}{-9-3}[/tex] = [tex]\frac{4}{-12}[/tex] = - [tex]\frac{1}{3}[/tex], hence

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 9, 6), then

6 = 3 + c ⇒ c = 6 - 3 = 3

y = - [tex]\frac{1}{3}[/tex] x + 3 ← in slope- intercept form

For this case we have to:

[tex]1 \frac {3} {8} = \frac {8 + 3} {8} = \frac {11} {8}[/tex]

We must divide:

[tex]\frac {\frac {11} {8}} {\frac {1} {6}} =[/tex]

Applying double C we have:

[tex]\frac {11 * 6} {8 * 1} = \frac {66} {8} = \frac {33} {4}[/tex]

Converting to a mixed number we have:

[tex]8 \frac {1} {4}[/tex]

Answer:

[tex]8 \frac {1} {4}[/tex]

Answer:

32/7

Step-by-step explanation:

5 1/3=16/3

1 1/6=7/6

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

(16/3)/(7/6)

(16/3)(6/7)

(16/1)(2/7)

32/7

We know that the whole angle of the triangle is 73. Since the known angle is 45 degrees, we need to find out what the other is.

Subtract 45 from 73 to find the angle of the unknown triangle.

73-45=28.

Now that we know the value of the unknown triangle, solve for x

Make an equation.

2x+5=28

Subtract 5 on both sides.

2x=23

Divide 23 by 2 to isolate x.

X=11.5

The answer is C. 11.5

Hope this helps!

Answer:

Down.

Step-by-step explanation:

ƒ(x) = 3x³ - x² + 4x - 2

"They" are asking you to determine the end behaviour of the function, that is, what happens to the function as x ⟶ -∞.

The important point to remember is that, when x is large enough, the term of highest degree (the x³ term) will be so large that you can ignore all the other terms.

If x is large and negative,  

f(x) ≈ 3(-x)³ = 3(-1)³(x)³= -3x³

Thus, the graph is in the third quadrant and the graph points down.

The figure below shows the graph of your function. It points sharply down on the left-hand side.

Answer:

Step-by-step explanation:

this angle is related to the ramp surface length (hypotenuse) and the rise in the ramp by the tangent function:

sin Ф = opp / hyp = 3 ft  /   5 ft = 0.60

Use the inverse sine function to determine the angle Ф.

arcsin 0.60 = 36.9 degrees

Final answer:

The angle of elevation of the ramp is approximately 36.87 degrees, calculated using the tangent function in trigonometry and the given dimensions of the ramp's rise and length.

Explanation:

To find the angle of elevation of the ramp, we can use trigonometry, specifically the tangent function, which relates the angle of a right triangle to the ratio of the opposite side (rise) to the adjacent side (run). In this case, the ramp surface is the hypotenuse of the right triangle, the rise is the vertical change, and the run is the horizontal distance, which would be the horizontal projection of the ramp if it were flat. Since we know the rise is 3 feet and the ramp length (hypotenuse) is 5 feet, we can calculate the run using the Pythagorean theorem.

The angle of elevation of the ramp is approximately 36.87 degrees.

Answer:

C. y = 3x - 2

Step-by-step explanation:

Since the y intercept is negative, it is seen in this equation that the b value (the y intercept) is also negative.  Since the slope is increasing upward, we know that the slope is greater than 1 and is going upward, and it matches with the equation since it matches with both of the requirements.

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Answer: c and d

Step-by-step explanation:

Answer:

332 square inch

Step-by-step explanation:

Solving for an area of a regular octagon, we can make use of the formula shown below:

Area = 1/2 * apothem*perimeter

In this problem, the following values were given such as:

Apothem = 10 inches

Perimeter = 66.3 inches

Solving for the area:

Area = 1/2*10*66.3

Area = 331.5 inches²

The answer is 332.

Answer:

Option C. 332 in²

Step-by-step explanation:

In the figure attached, a regular octagon has been drawn with all equal sides and apothem OP = 10 in.

Perimeter of the given octagon is given as 66.3 in

We have to calculate the area of the octagon.

As we can see in the figure an octagon is a combination of 8 triangles.

So we will find the area of one triangle first.

Area of ΔBOC = [tex]\frac{1}{2}(BC)(OP)[/tex]

Since perimeter of octagon = 8 × one side = 8×BC

66.3 = 8× BC

BC = [tex]\frac{66.3}{8}[/tex]

BC = 8.288 in

Therefore, area of ΔBOC = [tex]\frac{1}{2}(10)(8.288)[/tex]

= 5×8.288

= 41.44 in²

Now area of octagon ABCDEFGH = 8×41.44 = 331.5 ≈ 332 in²

Therefore, area of the regular octagon will be 332 in²

Option C. is the answer.

Answer:

A= 57 sq units

Step-by-step explanation:

To calculate the are area of a triangle we use the Herons formula:

A=√s(s-a)(s-b)(s-c) where a, b and c are the sides of the triangle.

s=(a+b+c)/2

s=(10+13+12)/2

=17.5

A=√[17.5(17.5-10)(17.5-13)(17.5-12)]

A= 57 sq units

Answer:

60 units ^2

Step-by-step explanation:

The probability she will choose a pair of white socks is [tex]\frac{2}{5}[/tex]

Given that,

Total number of outcomes [tex]=4+3+1+2=10[/tex]

We have to find the probability she will choose a pair of white socks.

Number of favourable outcomes[tex]=4[/tex]

the probability she will choose a pair of white socks is,

                  [tex]P=\frac{4}{10} =\frac{2}{5}[/tex]

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Answer:

Step-by-step explanation:

Use the cosine law (look at the picture).

We have:

[tex]a=a\\b=4\\c=3\\\gamma=32^o[/tex]

[tex]a^2=4^2+3^2-2(4)(3)\cos32^o[/tex]

[tex]\cos32^o\approx0.848[/tex] → look at the second picture

[tex]a^2=16+9-24(0.848)\\\\a^2=25-20.352\\\\a^2=4.648\to a=\sqrt{4.648}\\\\a\approx2.2[/tex]

Answer:

A

Step-by-step explanation:

First find the median of the data set.

The median is the middle value of the data set arranged in ascending order

10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38

The median = 19

The first quartile ( lower) is the middle value of the data to the left of the median.

10, 11, 12, 15, 17

The first quartile is 12 → A

Answer:

y = 2x + 2

Step-by-step explanation:

Start at point (2, 6).

Go up 2 units up (rise = 2) and 1 unit right (run = 1). Now you are at point (3, 8) which is on the graph.

slope = rise/run = 2/1 = 2

The slope of the graph is 2. m = 2

Now look at point (0, 2). The y-intercept is 2. b = 2

The equation is

y = mx + b

y = 2x + 2

Answer:

y = 2x + 2

Step-by-step explanation:

Here we're asked to come up with a linear function relating x and y.

First we find the slope of the line.  As we move from (0, 2) to (3, 8), x increases by 3 and y by 6.  Thus, the slope is

m = rise / run = 6 / 3 = 2.  

Plugging givens into the slope-intercept formula y = mx + b, we find b:

2 = 2(0) + b, so that b = 2.

Then the desired relationship between x and y is y = 2x + 2.

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -\cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-\cfrac{5}{2}[x-(-4)] \\\\\\ y+8=-\cfrac{5}{2}(x+4)\implies y+8=-\cfrac{5}{2}x-10\implies y=-\cfrac{5}{2}x-18[/tex]

Answer:

42-24n

Step-by-step explanation:

(7 - 4n) . 6

= (7)(6) - (4n)(6) ...........using distributive property, multiply each term by (6)

= 42 -24n (answer)

Answer:

C. triangles

Step-by-step explanation:

Pythagoras Theorem is a theorem which states you can work out a side of a right - angled triangle using the other 2 sides. Pythagoras will not work on shapes except from a right - angled triangle and square

Answer with explanation:

Pre image= Coordinates of point X= (3,4)

When point ,(x,y) is rotated by an angle of 180°, then coordinates of image that is point (x,y) after rotation = (-x, -y)

⇒≡Coordinates of point X(3,4) after rotation by an angle of 180°=X'(-3,-4)

The coordinates after a rotation of 180 degrees about the origin is: X'(-3, -4)

There are different types of transformation such as:

Translation

Rotation

Reflection

Dilation

The transformation rule for the rotation about 180 degrees (180°) about the origin is (x,y)→(−x,−y) .

Thus:

X(3, 4) → X'(-3, -4)

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Answer:

segment bisector

Step-by-step explanation:

Too cut in half, think bisect.

So we are talking about a segment, so segment bisector

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The inequality equation will be 6x + 18y ≤ 234.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Michael can spend a maximum of $234 on office supplies.

Each ream of paper costs $6. Each ink cartridge costs $18.

Then the inequality equation will be

Let x be the number of reams of paper and y be the number of the ink cartridge. Then we have

6x + 18y ≤ 234

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Answer:

42

Step-by-step explanation:

Line m and l are parallel so C and where that intersection is on the inside have the parallel lines, the angle there is an same side interior angle with C. Those add up to 180 degrees. So 180-82 is 98. Use vertical angle to find the angle in the triangle (not  x  yet; the other one).  Vertical angles are congruent so that one is 98.  

Now angles in a triangle add up to 180 degrees.

So we have 40+98=138.

The difference between 180 and 138 is 180-138=42 (that is x)

Answer:

42

Step-by-step explanation:

The solution is in the image below.

98+82 = 180

Answer:

The answer is the first one. Inside the absolute value symbols it is negative but absolute value answers are always positive. Instead of -30 the answer is 30.

Answer:

3/5

Step-by-step explanation:

5 / -1 = -5  

so  

-3 / -5 = 3/5

To find x when y=-1, substitute y=-1 into the equation y = -173.5 + 4.83x and solve for x.

To find x when y=-1, you can use the equation of the line where y = 5 when x = -3. Based on the given information, the line of best fit is y = -173.5 + 4.83x. By substituting y = -1 into the equation, we can solve for x:

-1 = -173.5 + 4.83x

Adding 173.5 to both sides of the equation:

172.5 = 4.83x

Dividing both sides by 4.83:

x = 35.69

Therefore, when y = -1, x is approximately 35.69.

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Answer:

Symmetric

Step-by-step explanation:

If you put a line in the middle of the third row and fold it on itself, it would match.

Answer:

i have to say it's symmetric cos technically uniform would kinda mean "with form if u know what i mean, and is kinda like "random" and like, cut the graph in half and it's a perfect fit

Answer:

They have different slopes and different y-intercepts, so they have no solution

Step-by-step explanation:

Answer:

Infinite solutions Answer explained below

Step-by-step explanation:

Let us see the various conditions for intersections of two lines in simplest way.

1. Same slope and same y intercept : Infinite solutions

2. Same slope and different y intercepts : No solution

3. Different slope and same y intercept : unique solution

4. Different slope and different y intercept : Unique solution

Here slope means the tangent of the angle line makes with the positive x axis and y intercept is the y coordinate at which the line intersect the y axis.

In our equations , we our slopes and y intercepts as

y=-3x+6

slope = -3 and y intercept = 6

y=6-3x

slope = -3 and y intercept = 6

Hence same slope and same y intercept , thus have infinite solutions

Answer:

see explanation

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex] h(x + y)

Multiply both sides by 2 to eliminate the fraction

2A = h(x + y) ( divide both sides by h )

[tex]\frac{2A}{h}[/tex] = x + y ( subtract x from both sides )

y = [tex]\frac{2A}{h}[/tex] - x

The solution to the equation A=1/2h(x+y) for y in terms of A, h, and x, is y = 2A/h - x, obtained by algebraic rearrangement.

To solve the given equation A=1/2h(x+y) for y in terms of A, h, and x, we first perform algebraic rearrangement. We want to get y in terms of A, h, and x. So, the first step is to eliminate the 1/2h from the right side of the equation. We can do this by multiplying both sides of the equation by 2/h, we get: 2A/h = x + y.

Now, to solve for y, we can simply subtract x from both sides: y = 2A/h - x. So now we have y expressed in terms of A, h, and x.

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Answer: 401.33 inches

To find the number of 3-digit multiples of both 4 and 6, we find the least common multiple (LCM) of 4 and 6, which is 12. Then, we count the number of 3-digit multiples of 12.

To find the number of 3-digit multiples of both 4 and 6, we need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12. Since 12 is a multiple of both 4 and 6, any multiple of 12 will be a multiple of both 4 and 6.

Now, we need to find the number of 3-digit multiples of 12. The smallest 3-digit multiple of 12 is 108, and the largest is 996. So, we need to find how many numbers from 108 to 996 are divisible by 12.

We can divide 996 by 12 to find that the quotient is 83 and the remainder is 0. So, there are 83 3-digit multiples of 12. Therefore, there are 83 3-digit multiples of both 4 and 6.

For one uniform 15/4 m of cloth is needed, since we need 26 uniforms week need 26 time that much cloth. Set up and multiply the equation like so...

[tex]\frac{15}{4}[/tex]*26

or you can write it like so...

[tex]\frac{15}{4} *\frac{26}{1}[/tex]

Multiply numerator by numerator and denominator by denominator...

[tex]\frac{15*26}{4*1}[/tex]

[tex]\frac{390}{4}[/tex]

^^^This can be further simplified to...

[tex]\frac{195}{2}[/tex]m

or

97.5 m

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

95  1/2 m of cloth

Step-by-step explanation:

Multiply:

(15/4 m)

------------ * 26 uniforms = 95.5 m of cloth needed, or 95  1/2 m of cloth

uniform

Answer:

5x^2 + 12x -3 =0 ---------> solve by quadratic formula

x^2 -4x = 8          ----------> solve by completing the square

4x^2 -25 = 0        ----------> solve by square root method

x^2-5x+ 6 = 0       -----------> solve by factoring

Step-by-step explanation:

1. 5x^2 + 12x -3 =0

The best way to solve this equation is quadratic formula as all the terms in the equation have coefficients it will be convenient to solve it through quadratic formula.

2. x^2 -4x = 8

The best way to solve this equation is by completing the square as the factors cannot be made directly.

3. 4x^2 -25 = 0

the best way to solve this equation is to solve by square root method as the 25 and 4 are perfect squares.

4. x^2-5x+ 6 = 0

The best way to solve this equation is to solve by factoring as it can clearly be seen that it is convenient to make factors ..