I’m confused bout this, could you possibly explain and help me solve.

Given:

A parallelogram must be a rectangle.

If the diagonals are congruent then the parallelogram must be a rectangle.

Option B is the final answer.

The value is [tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]

What is an equation?

a mathematical statement that shows that two expressions are equal is known as expression.

We are given an equation [tex]s=\frac{(v_{1}-v_{2} )w }{5}[/tex]

Multiplying both sides by 5 we get

[tex]5s=(v_{1}-v_{2})w[/tex]

Dividing both sides by w,

[tex]\frac{5s}{w}=v_{1}-v_{2}[/tex]

Rearranging the equation we get,

[tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]

Therefore the value is [tex]v_{2}=v_{1}-\frac{5s}{w}[/tex]

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Answer:

0.54666666666

Step-by-step explanation:

i don't know why but that is the answer

The probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.

As given,

Let us assume X is the event of the sum of two dice is even

Therefore

P(X) = The probability of having an even sum of two dice

Since all events are given in the question image, then

n(S) = Sample space = 36

X = {(1,1) , (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)}

n(X) = 18

Since

P(X) = n(A)/n(S)

P(X) = 18/36

P(X) = 1/2

Let us assume Y is the event of the sum of two dice is greater than 9, then

Y = {(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)}

n(Y) 6

P(Y) = n(Y)/n(S)

P(Y) = 6/36

P(Y) = 1/6

P(X∪Y) = P(A) + P(B)

= 1/2 + 1/6

= 4/6

= 2/3

Therefore,  probability of the given event randomly rolling two dice and having a sum that is even or greater than 9 is 2/3.

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The length of AC must be 3 cm letter B

Second question

Both B and C are correct.

Given the following inequality:

To plot the inequality, first we will plot the line y = x - 4

We will graph the line using the intercepts

When x = 0, y = -4

When y = 0, x = 4

So, the line passes through the points (4, 0) and (0, -4)

The graph of the line will be solid

Now, we will find the area that will be shaded to represent the answer.

Use the point (0, 0)

So, 0 ≥ 0 - 4

So, the point (0, 0) lying in the solution area.

the plot of the inequality will be as shown in the following figure:

When x = 0, y = -4

When y = 0, x = 4

So, the line passes through the points (ng the intercepts

When x = 0, y =

Answer:

x y (x, y)

0 -5 (0, -5)

2 5 (2, 5)

1 0 (1, 0)

Explanation:

To fill a table, we need to give values to the variable x and then calculate the values of y.

So, if x = 0, then y is equal to:

y = 5x - 5

y = 5(0) - 5

y = 0 - 5

y = -5

If x = 2, then y is equal to:

y = 5x - 5

y = 5(2) - 5

y = 10 - 5

y = 5

If x = 1, then y is equal to:

y = 5x - 5

y = 5(1) - 5

y = 5 - 5

y = 0

Therefore, the complete table would be:

x y (x, y)

0 -5 (0, -5)

2 5 (2, 5)

1 0 (1, 0)

The standard form of the quadratic function is- y = 2x² + 12x + 7

Here, we are given-

Vertex coordinate = (-3, -11)

Point on the graph = (0, 7)

The vertex form of a quadratic equation is given as-

y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

a is the letter in general form of quadratic equation which is-

y = ax² + bx + c

Thus, here, h = -3, k = -11, x = 0 and y = 7

Substituting these values in the vertex form we get-

7 = a(0 - (-3))² - 11

⇒ 7 + 11 = 9a

9a = 18

a = 18/9

a = 2

Thus, the standard form of the quadratic equation can be calculated as-

y = 2(x - (-3))² - 11

y = 2x² + 12x + 18 - 11

y = 2x² + 12x + 7

Thus, the standard form of the quadratic function is- y = 2x² + 12x + 7

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Answer:

a= 2

b = 6

c = 2

d = 2

e = 7

f = 2

g = 1

h = 1

R = .3 (repeating)

Step-by-step explanation:

Since angle 16 measures 139 degrees and is a supplementary angle with angle 17, we have the following equation:

solving for angle 17, we get:

therefore, the measure of angle 17 is 41 degrees

1g of rice is taken from a bag containing 5kg of rice for cooking. The ratio of the amount taken out to the original amount is 5:1.

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The missing statements and reasons in the proof are 5) Δ AEB ≅ Δ CED and Δ AED ≅ Δ CEB, 5) By ASA rule and 6) AE ≅ CE and DE ≅ EB  

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, ABCD is a parallelogram, we need to prove that the diagonals of parallelogram ABCD bisect each other.

The proof is as follows,

Statement                                                                       Reason

1) AB CD and AD BC                                                        Given

2) ∠ 1 = ∠ 3                                                   When a transversal crosses

                                                                     parallel lines, alternate interior

                                                                            angles are congruent.

3) ∠ 2 = ∠ 4                                                   When a transversal crosses

                                                                      parallel lines, alternate interior  

                                                                            angles are congruent.

4) AB = CD                                                           Opposite sides of a

                                                                       parallelogram are congruent.

5) Δ AEB ≅ Δ CED

and Δ AED ≅ Δ CEB                                                By ASA rule

6) AE ≅ CE and DE ≅ EB                            Corresponding parts of

                                                           congruent triangles are congruent,

7) Point E bisects both AC and BD            Definition of bisector

Hence, proved.

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Solution

For this case we have the following equation given:

4r + 1.1 = 6.6r -3.84

We can subtract 4r in both sides and we got:

1.1 = 2.6r -3.84

Then we can add 3.84 in both sides and we got:

2.6 r = 4.94

And then the value of r we got:

Using mathematical operations of addition, multiplication, division, and subtraction, the final score was:

K = 42 points

W = 51 points.

What are mathematical operations?

The basic mathematical operations for getting mathematical results from numbers, values, and variables include addition, multiplication, division, and subtraction.

In this situation, we apply these four basic mathematical operations.

Fizzy = 2 points

X = 5 points

Total scores = 93 points

The points in 8 Fizzy = 16 points (8 x 2)

The points in 5 X s = 25 points (5 x 5)

The equation showing the total scores of K = total scores + 16 - 25

= (93 + 16 - 25)/2

= 42 points

The equation showing the total scores of W = total scores - 16 + 25

= (93 - 16 + 25)/2

= 51 points

Hence, Final scores are K = 42 and W = 51.

Thus, applying mathematical operations, the final score shows that K scored 42 points while W scored 51 points, totaling 93 points for the two teams.

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Answer:

13,325

Step-by-step explanation:

247.43 x 5

13,535

To round a number to a specific place, look at the number to the right of that place. If the number is less than 5, round down. If it is greater than or equal to 5, round up.

Question 1: 613 rounded to the nearest ten is 610.

The tens digit in 613 is 1. To the right of 1 is 3. Therefore, the approximation of 613 is:

THIS STATEMENT IS TRUE.

Question 2: 1,970 rounded to the nearest hundred is 1,900.

The hundreds digit in 1,970 is 9. To the right of 9 is 7. This means that we will round up by adding 1 to 9. Therefore, the approximation will be:

THIS STATEMENT IS FALSE.

Question 3: 54,318 rounded to the nearest thousand is 54,000.

The thousands digit is 4. To the right of 4 is 3. Therefore, the approximation is:

THIS STATEMENT IS TRUE.

Question 4: 476,022 rounded to the nearest ten thousand is 470,000.

The ten thousands digit is 7. To the right of 7 is 6. This means that we will round up. Therefore, the approximation is:

THIS STATEMENT IS FALSE.

Therefore the original price is $299

the selling price is $228

Answer:

NJ and the other day and t I don't know what to do it again and again and again and again and again and again and again and again and again and again and again and again and again I will be a good night my dear sister and her and I will have to go in

Answer: 39

Step-by-step explanation: 1889 - 1927 = 30

ANSWER

Discount amount = $59.80

Net price = $239.20

EXPLANATION

We are given that the price list of the smartphone at the store is $299.

The Samsung dealer receives a trade discount of 20%.

This means that 20% of the price was taken off for the dealer.

To find the discount amount, we need to find 20% of $299.

That is:

That is the discount amount.

To find the net price, we simply need to deduct the discount amount from the list price.

That is:

Net price = $239.20

That is the net price.

y = (1/2)x² + 2x + 2 is the equation of the parabola in the graph.

From the graph, the parabola has a vertex at point (-2,0) and passes through point (0,2).

The general equation for a parabola with vertex is (h,k) is;

y = a( x - h)² + k

First we determine 'a' by substituting the given coordinates into the equation.

y = a( x - h)² + k

2 = a( 0 - (-2))² + 0

Solve for a

2 = a(2)²

2 = a( 4 )

a = 2/4

a = 1/2

Now, plug the vertex (-2,0) and a (1/2) into the general equation.

y = a( x - h)² + k

y = (1/2)( x - (-2))² + 0

Simplify

y = (1/2)( x +2) )² + 0

y = (1/2)( x + 2 )²

Expand using FOIL method

y = (1/2)( ( x + 2 )( x + 2 ) )

y = (1/2)( x² + 2x + 2x + 4 )

y = (1/2)( x² + 4x+ 4 )

Apply distributive property

y = (1/2)(x²) + (1/2)4x + (1/2)(4 )

y = (1/2)x² + 2x + 2

Therefore, the equation of the graph is y = (1/2)x² + 2x + 2.

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Answer:

Domain: [tex](-\infty, \infty)[/tex]

Range: [tex][0, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The law of sines is a theorem for triangle which states that for a triangle with sides a,b,c and angle A,B,C

Where,

a=32

A=56

c=34

For b and B is not full fill the condition of traiangle so zero triangle from ABC.

Answer:

A, D are correct.

Step-by-step explanation:

M=1.2 according to the image so anything below that is the answer.

Given

The recipe for the smoothie is made up of 5 cups of strawberries and 2 cups of bananas.

For the point (1,2.5)

It means that from the graph showing a plot of the numbers of cups, with the number of strawberries cups on the y-axis and the number of banana cups on the x-axis, the 2.5 is for the number of cups for strawberries while 1 is the number of cups of banana.

We can also say that

For every 1 cup of banana, there should be 2.5 cups of strawberries.

The rule we will use is

x1 = 2 and x2 = 6

y1 = -3 and y2 = 7

z1 = -4 and z2 = -4

Now we will find the answer in decimal using the calculator

The answer is 10.77032961

Round it to 3 decimal places, then

EXPLICACION.

Dos razones forman una proporcion cuando se da la siguiente condicion ;

el producto de sus extremos es igual al producto de sus medios.Veamos un ejemplo:

Un ejemplo de razones que se pueden hallar facilmente y saber si realmente es verdadera o exacta la proporcion es el siguiente ejemplo:

Answer

Option C is correct.

(g o f)(4) = 196

Step-by-step Explanation

f(x) = 3x

g(x) = (x + 2)²

We are then told to find

(g o f)(4)

We need to first interprete what (g o f) means

(g o f) refers to writing g(x) with f(x) replacing x. That is, f(x) replaces all the x that the function given by g(x) has.

(g o f) = g[f(x)]

g(x) = (x + 2)²

g[f(x)] = [f(x) + 2]²

Recall that f(x) = 3x

g[f(x)] = [3x + 2]²

We can then go further now to obtain (g o f)(4)

(g o f)(x) = g[f(x)] = [3x + 2]²

(g o f)(4) = [3(4) + 2]²

= [12 + 2]²

= 14²

= 196

Hence, option C is correct.

(g o f)(4) = 196

Hope this Helps!!!

Answer:

take square root on both side

Step-by-step explanation:

First we need write the equation of the line

we start from the general equation

we need find m(slope) and b(cut point)

for the slope

we choose 2 points and find

(0,5)and(1,3)

the slope is -2

we can replace on the general equation with a point(0,5) and solve b

for b

replacing m and b, the final equation is

now, our inequality tells us that it takes into account the values ​​below the line without taking the line (because it is dotted)

so we change = for <

the inequality is