What is the probability of selecting a seven or diamond card from a regular 52 deck of cards?

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

[tex](x,y)\to (1.5x,1.5y)[/tex]

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

[tex](x,y)\to (1.5x,1.5y)[/tex]

Using this rule, we get

[tex]M(-4,6)\to M'(1.5(-4),1.5(6))[/tex]

[tex]M(-4,6)\to M'(-6,9)[/tex]

And,

[tex]N(2,6)\to N'(1.5(2),1.5(6))[/tex]

[tex]N(2,6)\to N'(3,9)[/tex]

The endpoints of M'N' are M'(-6, 9) and N'(3, 9).

Therefore, the correct option is B.

Answer:

B on edge

Step-by-step explanation:

Answer:

TE = 7

Step-by-step explanation:

The centroid divides a median in this ratios 1/3 and 2/3. In particular

XT = 2/3 XE

XT = 2/3 * 21

XT = 14

TE = 7

Answer:

Step-by-step explanation:

Remark

This is a regular pentagon. The information given is enough the find the area of 1 triangle. There are 5 such triangles. So find the area of 1 of the triangles. The answer will be 5 times as much.

Givens

b = 18.3

h = 12.6

Formula

1 triangle = 1/2 * b * h

5 such triangles = 5 times as much

Solution

Area(1_triangle) = 1/2 * 18.3 * 12.6

Area (1_triangle) = 115.29

Answer: 5 * 115.29

Answer: 576.45

Answer:

A

Step-by-step explanation:

1500 goats represent 100%

                              but 100% = 5*20%

1500 = 5*300 so 20% =300

a decrease by 20% is 1500-300 = 1200

9514 1404 393

Answer:

  3) x = 55, y = 123, z = 123

  4) x = 276°

Step-by-step explanation:

Angles P and Q are alternate interior angles, so are congruent.

  P = Q

  3x -42° = 2x +13°

  x = 55° . . . . . . . . . . . add 42°-2x

Then Q = 2x +13 = 2(55°) +13° = 123°.

Angles Y, P, Q, and Z are all congruent, so all have the same measure.

  Y = Z = 123°

__

If you draw a horizontal line parallel to AB and CD through point O, then small angle POQ is divided into parts that are congruent with angles APO and CQO. That is, small angle POQ = 48° +36° = 84°.

Large angle POQ is then 360° -84° = 276°

Answer:

option D.

Step-by-step explanation:

[tex]rate \: of \: change \: = \frac{change \: in \: y}{change \: in \: x} [/tex]

let's take any point on the graph. let's say (2, 16)

and one point we know is (0, 0)

[tex]rate \: of \: change = \frac{16 - 0}{2 - 0} [/tex]

= 16($) / 2 (hrs)

= 8 $/ hrs

that is option D.

Answer:

$8/hour

Step-by-step explanation:

Hi there!

In this scenario, the independent variable is time and the dependent variable is the cost. The cost of renting the kayak depends on how much time passes. Knowing this, the answer should be formatted like _ dollars/hour, not _hours/dollar. We can rule the first two options out.

Now, looking at the graph, when 1 hour passes, the cost is $8. This occurs at point (1,8). And this is constant throughout, for example, when 2 hours pass, the cost is $16 (2,16).

Therefore, the rate of change shown in the graph is $8/hour.

I hope this helps!

Answer:

Step-by-step explanation:

                  Statements                              Reasons

1). y║z                                                      1). Given

2). ∠1 ≅ ∠5                                             2). Alternate interior angles

3). ∠3 ≅ ∠6                                             3). Alternate interior angles

4). m∠1 + m∠2 + m∠3 = ∠LAM              4). Angle addition postulate

5). m∠1 + m∠2 + m∠3 = 180°                 5). Def. of m

6). m∠5 + m∠2 + m∠6 = 180°                6). Substitution

Step-by-step explanation:

[tex] 2{x}^{2} + 1[/tex]

Answer:

D

Step-by-step explanation:

First of all, you are moving right. That means that something gets added or subtracted from the x

To move right whatever number units you move right, will be subtracted from the x.

A and B are are both wrong. It is really the y that the +/- ten changes.

C is wrong because you are moving left, not right.

D is the answer. It is not intuitive, but it is how how move right.

Respuesta:

S / 25

S / 45

S / 75

Explicación paso a paso:

Dado :

Para pedidos de hasta una docena; par de pantimedias Glamour Costo S / 5

Para pedidos de más de una docena; par de pantimedias Glamour Costo S / 3

Función de costo:

Para x ≤ 12

Costo, C = 5x

Para x> 12

Costo, C = 3x

Costo de 5 pedidos:

x = 5

Costo, C = 5 (5) = S / 25

Costo de 15 pedidos:

x = 15

Costo, C = 3 (15) = S / 45

Costo de 25 pedidos:

x = 25

Costo, C = 3 (25) = S / 75

Answer:

2x^2+10x+2

Step-by-step explanation:

12x^2 +5x+1 - ( 10x^2 -5x-1)

Distribute the minus sign

12x^2 +5x+1 -  10x^2 +5x+1

Combine like terms

2x^2+10x+2

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Answer:

Yes, because there is enough water in the cooler for about 81 cups total.

Answer:

The third option (C) Yes, because there is enough water in the cooler for about 81 cups total.

Step-by-step explanation:

Right on Edge

Answer:

10

Step-by-step explanation:

E={2,3,5,7, 11, 13, 17, 19, 23, 29}

therefore,

n(E)={10}

Answer:

10 if I recall correctly

dang dude. Is this geometry?

Answer:

3/2

SOH-CAH-TOA

Tan = opposite/adjacent

opposite = 3

adjacent = 2

Step-by-step explanation:

Answer:

15d^2 +7d-4

Step-by-step explanation:

(5d+4)(3d-1)

FOIL

first 5d*3d = 15d^2

outer 5d(-1) = -5d

inner 4*3d = 12d

last 4*-1 = -4

Add together

15d^2 -5d+12d -4

15d^2 +7d-4

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Answer:

The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is

[tex]S = \{0, 1\}[/tex]

Step-by-step explanation:

The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]

For the inequality [tex]2x < 4[/tex], we have

[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]

Therefore,

[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]

Note: 2 is not included

The integers are

[tex]\ldots -2, -1, 0, 1[/tex]

And the non-negative integers are

[tex]0, 1[/tex]

Answer:

1) HL=LJ=63

(ZJ)²=16²+63²

(ZJ)²=256+3969

ZJ=√4425

ZJ= 65

2)HJ=HL+LJ

= 63+63

HJ=126

3) XC=XA=8

4) BE=AB/2=20/2=10

OAmalOHopeO

The  number - 7/5 is LESS than -1 1/5

because -7/5 lies GREATER 5-1 /1 on a vertical number line.

Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

i think its b Step-by-step explanation:

[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]

Answer:

202°

Step-by-step explanation:

Arc I K ≅ Arc J K, Given that mArc I K = (11x + 2)°, and mArc J K = (12x – 7)°. SInce Arc I K ≅ Arc J K, then;

(11x + 2)° = (12x – 7)°

Collect the like terms

11x - 12x = -7 - 2

-x = -9

x = 9

Arc IJK = 11x+2 + 12x - 7

Arc IJK = 23x-5

Arc IJK  = 23(9)-5

Arc IJK  = 207-5

Arc IJK  = 202°

Hence the measure of Arc IJK is 202°

Answer:

202

Step-by-step explanation:

I got it right

Answer:

do u have a picture of theroblem?

Answer:

5.6

Step-by-step explanation:

First five prime numbers:

[tex]2,3,5,7,11[/tex]

Add them up:

[tex]2+3+5+7+11=28[/tex]

Calculate the mean:

[tex]\frac{28}{5} =5.6[/tex]

Answer:

8.5

Step-by-step explanation:

We need to find the mean of first five prime numbers . We know that the first five prime numbers are ,

[tex]\sf\longrightarrow First \ 5 \ Prime\ numbers \ = 2, 3, 5 ,7,11 [/tex]

We know that mean is ,

[tex]\sf\longrightarrow Mean =\dfrac{Sum \ of \ observations}{Number\ of\ observations } [/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow Mean =\dfrac{ 2+3+5+7}{2}[/tex]

Add the numbers in numerator ,

[tex]\sf\longrightarrow Mean =\dfrac{ 17}{2} [/tex]

Divide ,

[tex]\sf\longrightarrow\boxed{\blue{\sf Mean = 8.5 }} [/tex]

Hence the mean is 8.5

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

Answer:

Step-by-step explanation:

Answer:

profit is 25%

Step-by-step explanation:

profit%=sp-cp/cp×100%

=350-280/280×100%

=0.25×100

=25%

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{16}{AC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

AC = 16[tex]\sqrt{2}[/tex] → C

The measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.

Given that, ∠45° and AB=16 cm.

We need to find the measure of side AC.

There are three steps:

Now, [tex]sin \ C=\frac{AB}{AC}[/tex] (∵ sinα=Opposite/Hypotenuse)

[tex]sin 45^{o} =\frac{16}{AC} \\[/tex]

[tex]\implies \frac{1}{\sqrt{2} } =\frac{16}{AC}[/tex]

[tex]\implies AC=16\sqrt{2}[/tex] cm

Therefore, the measure of the side of a triangle AC is [tex]16\sqrt{2}[/tex] cm.

To learn more about trigonometric ratios visit:

https://brainly.com/question/14746686.

#SPJ2

Answer:

D

Step-by-step explanation:

The statement of congruency shows which vertices are corresponding.

Answer: D