Evaluate the function requested. Write your answer as a fractic
B
f
52
20
A
48
Find tan A.

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

Step-by-step explanation:

of what where is the question

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

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9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

Answer:

40

Step-by-step explanation:

S x .35 = 14

S = 14/.35

S = 40

Verify:

40 x 35% = 14

Answer:

26%

Step-by-step explanation:

To find the percentage of a number, I find it's often helpful to first write it as a fraction:  [tex]\frac{104}{400}[/tex] .

Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]

.

Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:

[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]

As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

Answer:

400:1

Step-by-step explanation:

800:2

800/2:2/2

400:1

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Answer:

the answer is 15

Step-by-step explanation:

Just add

Answer:

15 grams

Step-by-step explanation:

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

Answer:

K=  -11

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

Answer:

120

Step-by-step explanation:

2*60 = 120

Answer:

640

Step-by-step explanation:

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Answer:

x = 29

y = 110°

Step-by-step explanation:

y° = (3x + 23)° => corresponding angles are congruent)

(2x + 12)° + y° = 180° => linear pair

Thus:

(2x + 12)° + (3x + 23)° = 180° => substitution

2x + 12 + 3x + 23 = 180

Add like terms

5x + 35 = 180

5x = 180 - 35

5x = 145

x = 145/5

x = 29

✔️y = (3x + 23)°

Plug in the value of x

y = 3(29) + 23

y = 110°