Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.

Answer:

Step-by-step explanation:

If you translate the triangle BCD in such a way that vertex B maps onto vertex W, you'll realize that with rotation, you'll map the whole BCD triangle onto triangle WXY.

On the other hand, reflections can't be used here, because the sides of both triangles are not in opposite positions.

Therefore, the right answer is the third choice.

31

because 15 +16 :31

[tex]. = y1 = \times [/tex]

Answer:

69

Step-by-step explanation:

A triangle has a 180 degree angle so you do 180-111=69

Answer: x=24

Step-by-step explanation:

lets say 94 is ∠ a

41 is ∠ b

___ ∠  c

111∠ d

x ∠ e

so with that you will figure out that ∠  c is to find X

108-94-41= 45

so ∠ c is 45

now you can ∠a ∠ b∠ c

with that yo take

108-111-45=24

So X=24

Answer:

a   4/17

Step-by-step explanation:

if you add them all up, you get 34. 8 out of 34 reduced is 4/17

Answer:

4/17

Step-by-step explanation:

8 black marbles, 12 clear marbles, and 14 blue marbles = 34 marbles

P( black) = number of black/ total

              = 8/34

              =4/17

Answer:

80 in²

Step-by-step explanation:

8/10 = x/100

x = 80

Answer:

:)

Step-by-step explanation:

y=6x-3

y=-3

-3=6x-3

-3=6x-3

+3     +3

=6x

Answer:

Step-by-step explanation:

y=6x-3

y=-3

6x-3=-3

6x=-3+3

6x=0,

x=0

y=-3

so solution is point (0,-3)

Answer:

Read this for more help!

Step-by-step explanation:

That is okay if you do not understand the formula. We all have troubles with math in one spot or in another. With the a²+b²=c², we would have to go really slowly. Just for you!

Let´s do an example. Say we have a triangle, and for this we need to know our square roots! Say we have this triangle, and it has both a 3 and a 4 on its sides. Now a triangle had 3 sides. 2 sides are smaller, and then it would have a larger side, which is called the hypotenuse! That is the side we would need to figure out, because the hypotenuse is the largest side of the triangle, and we only have the smaller sides(3 and 4).

So we need to work with the formula.

So let us plug the example into the formula.

There is no specific order to how we would be putting the sides in. 3 could be b or it could be a. Same goes for the 4. It really does not matter because you would be getting the same answer no matter what.

a²+b²=c²

3²+4²=c²  

3²=9

4²=16

We need to add the two of those numbers, both 9 and 16 and we get 25. That is c². But we need c, because the hypotenuse is only c. So we need to take the square root of 25. And we get 5!

I will show you the equation again with 3 and 4 reversed.

4²+3²=c²

4²=16

3²=9

Like what we did above, we would get 25. And then take the square root! Same answer, so it really doesn't matter!

If you still do not understand this topic, you can always ask someone else who does, or go on khan academy, or search for more topics like this on BRAINLY! I hope this helped!

Answer:

48

Step-by-step explanation:

FB:BS=2:1

[tex]\frac{FB}{BS} =\frac{2}{1} \\add~1~to~both~sides\\\frac{FB}{BS} +1=\frac{2}{1} +1=3\\\frac{FB+BS}{BS} =3\\\frac{FS}{BS} =3\\FS=3 \times~BS\\FS=3 \times~16=48[/tex]

Answer:

48

Step-by-step explanation:

Answer:

The value of cos theta for 0° < theta < 90° will be 20 / 29

Step-by-step explanation:

To solve this problem we can express three trig functions as ratios involving the sides of a right-angle triangle,  the adjacent side, the opposite side and the hypotenuse. In this case sin θ = a / c, such that a = 21 and c = 29.

By Pythagorean Theorem,

[tex]b = \sqrt{c^2-a^2} = \sqrt{29^2-21^2} = \sqrt{841-441} = \sqrt{400} = 20[/tex]

Therefore cos θ = b / c = 20 / 29. This is the cosine ration of the adjacent side over the hypotenuse.

Answer:

xy = 32

x = 1/2y.

Step-by-step explanation:

Let's say the two numbers are x and y.

The product of them is 32, so x times y is 32.

xy = 32.

x is 1/2 of y. So...

x = 1/2y

Your two systems are xy = 32 and x = 1/2y.

Hope this helps!

Answer:

The answer is A on edg 2021

Answer:

10 meters

Step-by-step explanation:

From your question, it seems we are dealing with a triangle and we are given the two legs of the triangle.

The given dimensions are:

7 meters and 7 meters.

Required:

Here, we are required to find the third side of the triangle which is the hypotenus.

Using Pythagoras theorem:

a² + b² = c²

Where a = 7 & b = 7

Thus, we have:

7² + 7² = c²

c² = 49 + 49

c² = 98

Take the root of both sides

√c² = √98

c = √98

c = 9.899

c ≈ 10 meters

Therefore the length of the unknown side is approximately 10 meters

Answer:

Hey there!

That would be the SAS postulate.

This states that one angle is congruent and between two congruent sides.

Hope this helps :)

Answer:

7

Step-by-step explanation:

Quadratic Equation: 3x² - 24x + 72

The form we are to convert the equation to:

3x² - 24x + 72

a(x + b)² + 72

3(x² - 8x + 24)

Step 1

Make the Quadratic equation (x² - 8x) in the bracket factorisable using completing the square method

3( x² - 8x +(- 8/2)²) + 24

3( x² - 8x + 16 = -24 + 16

3( x² - 8x + 16 + 8 = 0)

3( x² - 8x + 16) + 8

3( x² - 4x + 4x + 16) + 8

3( x(x - 4) -4(x - 4) + 8

3((x - 4)(x - 4) )+ 8

3( (x - 4)² + 8

Using this form

a(x + b)² + c

a = 3

b = -4

c = 8

We were asked to add up constants a, b, c

Therefore,

3 +(-4) + 8

= 7

Answer:

-60.X + 32 = 32.r – 60

Because we only have one equation for 2 unknowns.

Step-by-step explanation:

All the equations have solution for r but the one that has 2 unknowns (r and X).

That is because we only have one equation and 2 unknowns.

Then, we only can express one unknown in function of the other and have an indeterminate solution.

Answer:

[tex] s = 5.8 [/tex]

Step-by-step Explanation:

Given:

∆RST,

m < T = 17°

t = RS = 5

m < S = 20°

s = RT = ?

Apply the Law of Sines to find s

[tex] \frac{s}{sin(S)} = \frac{t}{sin(T)} [/tex]

[tex] \frac{s}{sin(20)} = \frac{5}{sin(17)} [/tex]

Multiply both sides by sin(20) to make s the subject of formula.

[tex] \frac{s}{sin(20)}*sin(20) = \frac{5}{sin(17)}*sin(20) [/tex]

[tex] s = \frac{5*sin(20)}{sin(17)} [/tex]

[tex] s = 5.8 [/tex] (to nearest tenth)

Answer:

(x + 3)(x - 5)

Step-by-step explanation:

Well to factor  x^2-2x-15,

we need to find 2 numbers that multiply to get -15 and add to get -2.

3*-5 = -15

3x + -5x = -2x

x*x = x^2

Factored (x + 3)(x - 5)

Hope this helps :)

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Step 1- Find 2 number that multiplies to be -15, but also add to be -2

This would be -5 and 3

-5 * 3 = -15

-5 + 3 = -2

Step 2- write the equation

The equation can be written 2 different ways

1st way- (x - 5)(x + 3)

2nd way- (x + 3)(x - 5)  

Answer:

x = {2,3,4}    (if x can only be positive whole numbers)

Step-by-step explanation:

For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.

This also is equivalent to any two sides must have a sum greater than the third side.

So

7+10 > x^2, => x^2 < 17 => x < sqrt(17)     (maximum)

7+x^2 > 10, => x^2 >3 => x > sqrt(3)

Therefore

sqrt(3) < x < sqrt(17)

If x must be an integer,

2< x < 4, or x = {2,3,4}

Answer:

∠A = 35°

Step-by-step explanation:

From the question above,

Sum of Angles on a straight line = 180°

180° = ∠BDE + ∠ADE

∠BDE = 105°

∠ADE = 180° - 105°

∠ADE = 75°

To find Angle ∠EBC and ∠DEB are alternate angles, this means that they are equal to each other

Hence, ∠EBC = ∠DEB

30° = 30°

Sum of Angles on a straight line = 180°

180° = ∠DEB + ∠BEC + ∠DEA

180° = 30° + 80° + ∠DEA

∠DEA = 180° -(30+ 80)°

∠DEA = 180° - 110°

∠DEA = 70°

It is important to note that the sum of Angles in a triangle = 180°

180° = ∠ADE + ∠DEA + ∠A

∠ADE = 75°

∠DEA = 70°

180° = 75° + 70° + ∠A

∠A = 180° - (75° + 70°)

∠A = 180° - 145°

∠A = 35°

Answer: im having the same problem

Step-by-step explanation:

Work Shown:

Let's say this school has 100 people total. We know that 30 of the people have a cat since 30/100 is the fractional portion of cat owners. Similarly, 18 have both a cat and a dog.

The probability of selecting someone who has both pets, given we know they are a cat owner, is 18/30 = 3/5

To reduce the fraction, divide both parts by the GCF 6.

Note: we don't use 45/100 because we know that whoever selected wasn't solely a dog owner.

Answer:

at the rate of 100000.

u t cute

Answer:

Mean = 2.14

Standard deviation = 2.40

Step-by-step explanation:

The calculation of mean and standard deviation is shown below:-

[tex]X = .07\times0 + 0.20\times 1 + 0.38\times 2 + 0.22\times 3 + 0.13\times 4\\\\ = 0 + 0.2 + 0.76 + 0.66 + 0.52[/tex]

= 2.14

So, the mean is 2.14

Now, For computing the standard deviation first we need to find out the variance which is shown below:-

Variance is

[tex]Var(X) = P(X^2) - [P(X)]^2\\\\ P(X^2) = .07\times (0^2) + .20\times (0^1) + .38\times (0^2) + .22\times (0^3) +0.13\times (0^4)[/tex]

After solving the above equation we will get

= 5.78

Now, the standard deviation is [tex]= \sqrt{Variance}[/tex]

[tex]= \sqrt{5.78}[/tex]

= 2.404163056

or

= 2.40

Answer:

The equation in the polar form is;

[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex]

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

[tex]r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}[/tex]

For horizontal directrix

[tex]r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}[/tex]

Where;

k = Distance from the focus to the directrix = 2

We have;

[tex]r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]

[tex]r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]

Which gives the equation in the polar form as follows;

[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex].

Answer:

AQ = 20 units

Step-by-step explanation:

I tried figuring in the pic below..

Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.

We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.

Answer:

20

Step-by-step explanation:

RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.

(also it is right on edgenuity)

Answer:

They both rented the bikes for 4 hours and paid $ 24.

Answer:$24

Step-by-step explanation:

A function is a relation between sets defined by a formation law. Examples:

[tex]F(x)=0[/tex]

[tex]F(x) =x[/tex]

[tex]F(x) = ax+b[/tex]

Answer:

Please look at the picture attached to see the long division.

a. 32 remainder 3

b. 75 remainder 7

Step-by-step explanation:

Answer:

Hey! The answer to your question will be below.

Step-by-step explanation:

Part A would be 32 R 3

And Part B would be 75 R 7

If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

Step 1-Construct the perpendicular bisector of one side of the triangle.

Step 2-Construct the angle bisector of another side of the triangle.

Explanation:

A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet

Answer:

33x-6x(square)-45

Step-by-step explanation:

(2x-5)(9-3x)

= 2x(9-3x) + -5(9-3x)

= 18x-6x(square) - 45+15x

= 33x-6x(square)-45

Answer:

8x^3 - 26x^2 + 17x - 5.

Step-by-step explanation:

(2x - 5)(4x^2 - 3x + 1)

= (2x * 4x^2) + (-5 * 4x^2) + (2x * -3x) + (-5 * -3x) + (2x * 1) + (-5 * 1)

= 8x^3 + (-20x^2) + (-6x^2) + 15x + 2x - 5

= 8x^3 - 26x^2 + 17x - 5.

Hope this helps!

The relation { (3,4), (-3, 8), (6,8) } is a function.

====================================================

Explanation:

Choice A can be ruled out because we have x = -3 repeat itself for different y values. For any x input, there must be exactly one y output. This is assuming the x value is in the domain of course.

Choice C can be ruled out for similar reasoning. This time x = 3 repeats.

Choice D is the same story, but we go back to x = -3 showing up twice.

Choice B is the only thing left. Each x value is unique or only written one time. This graph passes the vertical line test. The other graphs fail the vertical line test (it is possible to draw a vertical line through more than one point).