Which data set could be represented by the box plot shown below?


A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 1 to 6. The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12. The right whisker extends from 16 to 19. All values estimated.

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

More about the triangle link is given below.

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Answer:

s=4.75

Step-by-step explanation:

plug the letters in the formula

ut+1/2at^2

10×0.5+-2×0.5^2

Answer: x= -2

Step-by-step explanation: use pemdas

10x + 8 = 3(x - 2) distribuite parenthesis

10x + 8 = 3x - 6

10x + 8 = 3x - 6 add like terms

7x +8= -6 add like terms

7x= -14 divide to get x alone

x= -2

Answer:

x = - 2

Step-by-step explanation:

10x + 8 =3(x-2)

10x + 8 =3x - 6

10x - 3x = - 6 - 8

7x = - 14

7x/7 = -14/7

x = - 2

[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

d × (5d + 11)

Step-by-step explanation:

5d² + 11d

Factor out d from the expression

When d is factored out;

5d² becomes 5d

11d becomes 11

And d multiplies it all;

d × (5d + 11)

Answer:  24

Step-by-step explanation:

You have 4 balloons to choose from.  

Once you have chosen a balloon, there are 3 remaining to choose from.  When you choose another balloon, there are only 2 remaining.

First pick   and    Second pick    and   Third pick

     4           x        3 remaining      x       2 remaining      =  24

Answer:

The length of AC is 2.33 units.

Step-by-step explanation:

You have to use Tangent Rule, tanθ = opposite/adjacent :

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

Let oppo. = AC,

Let adj. = BC = 5,

Let θ = 25°,

[tex] \tan(25) = \frac{ac}{5} [/tex]

[tex]ac = 5 \tan(25) [/tex]

[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Answer:

perfect square number

Step-by-step explanation:

When simplifying square root expressions, look for any perfect square
that can be pulled out of the radical.

Given that,

When simplifying square root expressions, look for any ___________ that can be pulled out of the radical. blank space to be filled.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
When simplifying the square root we see the number that is perfect squares, because only a perfect square can be pulled out from the square root.

Thus, When simplifying square root expressions, look for any perfect square that can be pulled out of the radical.

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Answer:

only A and B are correct

Step-by-step explanation:

all angles in a triangle will always add up to 180

all adjacent angles on a straight line will always add up to 180

Answer:

A and B are correct.

Step-by-step explanation:

This is what I got on EDG

I hope this helps!!!!

Answer:

2^2x3x5

Step-by-step explanation:

Answer:

Sin 3A = 1

cos 3A = 0

tan 3 A = undefined

Step-by-step explanation:

[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]

Step-by-step explanation:

SA=ph+2A, that is, perimeter × height+ twice area

p=21+20+29=70cm

h=22cm

70×22=1540cm

A=1/2 ×20×21=210×2=420

1540+420=1960cm2

Answer:

Step-by-step explanation:

Surface area of sphere = 125 sq.ft

4πr² = 125

4*3.14*r² = 125

[tex]\sqrt{x} r^{2}=\frac{125}{4*3.14}\\\\r^{2}=9.95\\\\r=\sqrt{9.95}\\\\[/tex]

r = 3.15 ft

Answer:

631 feet

Step-by-step explanation:

125 square feet = 4 • pi • radius sqaured. Dividing the surface area by 4 and pi, and then taking the square root of that result, gives the correct radius of 3.155 feet. Doubling the radius gives the correct diameter of 6.31 feet.

Answer:

8/12 = 14/x

Cross multiplication so

8x=14×12

8x=168

X=168/8

X=21

Answer:

Length of side AB = 5.6 cm

Step-by-step explanation:

From the figure attached.

In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

By applying Cosine rule in this triangle,

Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

Cos62°= [tex]\frac{AB}{BC}[/tex]

0.46947 = [tex]\frac{AB}{12}[/tex]

AB = 12 × 0.46947

AB = 5.63

     ≈ 5.6 cm  

Therefore, length of side AB = 5.6 cm

Length of side AB = 5.6 cm.

Since In right triangle ABC,

m∠ABC = 62°

m(BC) = 12 cm

Here we used the cosine rule

So, it is

[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]

So, AB = 5.6 cm

hence, Length of side AB = 5.6 cm.

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Answer:

Candle B: 36 minutes

Candle C: 12 minutes

Step-by-step explanation:

Since Candle A burns for 72, and Candle B burns twice as fast, we can divide the 72 by 2 in order to get the time it burns. We will then see that Candle B burns for 36 minutes.

Candle C burns 3 times as fast as candle B so we can divide the 36 minutes it takes for candle B to burn by 3 to get how long it takes Candle C to burn. We then see that it takes 12 minutes for candle C to burn.

Hope this helps!

Answer:

12

Step-by-step explanation:

Answer:

150=2x5x5x3, or 150=2x5^2x3

Step-by-step explanation:

150=50x3

50=5x10

10=2x5

150=2x5x5x3

Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

Answer:

(2x +5) (x+4)

Step-by-step explanation:

2x*2+13x+20

(2x +   )(x+  )

Factoring 20 into 4 and 5  so we can get 13 in the middle

(2x +5) (x+4)

2*4 +5 = 13 for the middle term

Answer:

Step-by-step explanation:

n*8<72

:8     :8

n<72/8

n<9

n could be  1,2,3,4,5,6,7,8

Answer:

4

Step-by-step explanation:

Given

2y + 3 ≤ 11 ( subtract 3 from both sides )

2y ≤ 8 ( divide both sides by 2 )

y ≤ 4

Since y has to be less than or equal to 4

Then the largest value y could be is 4

Answer:

c. 412.5 cm^2

Step-by-step explanation:

first triangle: 5 x 15 = 75

75/2 = 37.5

rectangle:  15 x 19 = 285

triangle 2: 15 x 12 = 180

180/2 = 90

37.5 + 285 + 90 = 412.5

Answer:

(A)∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

In Triangle ABC

∠B=35°

a=19

b=11

Using Law of SInes

[tex]\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ[/tex]

Now:

[tex]\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ[/tex]

Using Law of Sines

[tex]\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1[/tex]

Therefore:

∠A = 82.2°,∠C = 62.8°, c = 17.1

The correct option is A.

Answer:

it is a

∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

give the other dude brainliest he is correct

Answer:

y = -8/15

Step-by-step explanation:

log (4y + 1) = log (y - 7) - 2log2

log (4y + 1) = log (y - 7) - log2² (power law)

log (4y + 1) = log [(y - 7)/4]

4y + 1 = (y - 7)/4 (remove log)

4(4y + 1) = y - 7

16y - y = -8

15y = -8

y = -8/15