What is the median of this data set: 17, 13, 18, 20, 17, 15, 12

A. 19

B. 17

Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS     CPCTC

Just draw a reverse angle,hence you get comparison.

So, satisfying S-S-S

RUS  ≅ SUT

RSU ≅ TUS

So, angle

URS = angle TUS

2. Pythagoras Theorem

Triangle RUS

A^2 + B^2 = C^2

Uu^2 + Ss^2 = Rr^2

√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

√Tt = Tt^2 = x

UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles  TUS = 30 degree

As all adjacent angles in a triangle add up to 180 degree.

Answer:

Step-by-step explana

tion:

Ratatouille

Answer: B. (-2, -1)

Step-by-step explanation:

(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.

Answer:

b

Step-by-step explanation:

Answer:

B 2/ 1/2

Step-by-step explanation:

becuase it points into the middle of 2 and 3

and thats how got B

hope this helps

Answer:

Rectangle:6+5=11(Odd)

Triangle:6+6=12(even)

Star:4+3=7(odd)

Pentagon:9+8=17(odd)

Hexagon:6+6+12(even)

Circle:4+4=8(even)

Step-by-step explanation:

Hope this helps:)

Answer:

odd, even

odd, odd

even, even

Step-by-step explanation:

Number the pictures starting from left to right and the down, then pictures 1, 3 4 are odd

2, 5, 6 are even.

Answer:

a concave polygon

Step-by-step explanation:

It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)

Answer:

Addition property of equality

Step-by-step explanation:

Answer:

  The correct asnwer for this question is C. addition property of equailty

Hope this helps, and have a wonderful day! :)

Step-by-step explanation:

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel  to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4,  y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14

Answer:

x=-3

Step-by-step explanation:

\left(5^3\right)^2\cdot 5^{x+4}=5^7

Apply\:exponent\:rule

x+10=7

x=-3

Answer:

x = -3

Step-by-step explanation:

(5^3)^2 · 5^(x+4) = 5^7

First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.

(5^3)^2 = 5^(3·2) = 5^6

We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:

5^6 · 5^(x+4) = 5^7

We can divide 5^6 from both sides to get:

5^(x+4) = (5^7)/(5^6)

When exponents of like terms are divided we can subtract the exponents.

5^(x+4) = 5^(7-6)

5^(x+4) = 5^1

This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:

5^x · 5^4 = 5^1

We can divide both sides by 5^4.

5^x = (5^1)/(5^4)

We simplify the right side by the same way we did earlier when we divided exponents:

5^x = 5^(1-4)

5^x = 5^-3

We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:

x = log₅(5^-3)

If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.

So x = -3

Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:

x = -3(log₅5)

x = -3(1)

x = -3

Either way works.

Answer:

It should be 24 cm^2

Step-by-step explanation:

there are 3 shape. 2 rectangles and a triangle

to find the area for the rectangle is length x width

to find the area of a triangle its 1/2 x base x height

the small rectangle

4*1.5=6

the bigger rectangle

3*4=12

the triangle

1/2*4*3

1/2*12=6

Add them all up and you get 24

Answer:

A'(7,3), B'(11,7) and C'(9,5).

Step-by-step explanation:

The vertices of given triangle are A(4,5), B(8,9), and C(6,7).

Given rule of translation is

[tex](x,y)\rightarrow (x+3,y-2)[/tex]

We need to find the vertices of triangle A'B'C'.

Now,

[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]

[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]

[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]

Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).

Answer:

44, 46, and 48

Step-by-step explanation:

add them and you should get 138.

Answer:

There are 616 total students

Step-by-step explanation:

boys : girls: total

5           3      5+3 = 8

There are 385 boys

385/5 = 77

Multiply each term by 77

boys : girls: total

5*77  3*77   8*77

385    539    616

There are 616 total students

Answer:

616 total students

Step-by-step explanation:

5 : 3

385 : x

5 x 77 : 3 x 77

385 : 231

385 + 231 = 616

Answer:

24

8

Step-by-step explanation:

It will take 8 hours for 3 people to paint the house and 24 hrs for 1 person to paint the same house

Fractions are ratio of two integers

If 4 people can paint a house in 6 hours, the time it will take 1 person is expressed as:

Time it will take 1 person = 6(4) =24 hours

Since the number of people is proportional to time:

p = k/t
3 = 24/t
t = 24/3
t = 8hrs

Hence it will take 8 hours for 3 people to paint the house

Learn more on ratio here: https://brainly.com/question/2914376

Answer:

w<0 or w>9

Step-by-step explanation:

2

w

+3>

29

w

3w+2

w

>

29

w

Let's find the critical points of the inequality.

3w+2

w

=

29

w

3w+2=29(Multiply both sides by w)

3w2+2w=29w(Multiply both sides by w)

3w2+2w−29w=29w−29w(Subtract 29w from both sides)

3w2−27w=0

3w(w−9)=0(Factor left side of equation)

3w=0 or w−9=0(Set factors equal to 0)

Answer:

Explanation:

2

w

+

3

>

29

w

First take LCM

2

+

3

w

>

29

w

Now you can remove the denominator(LCM) because it is on both sides.

So, we get

2 + 3w > 29

3w > 27

w>9

In this way, we get the answer.

Step-by-step explanation:

Answer:

8/X= 1

Step-by-step explanation:

"8/X= 1" requires the multiplication property of equality for 'x' to get solved.

[tex]\frac{8}{x}=1\\\\\frac{8}{x}*x=1*x \leftarrow\text{Multiplication Property of Equality}\\8 = x \\\\\boxed{x=8}[/tex]

Answer:

Step-by-step explanation:

I would probably say C which is 8/X= 1.

The first one uses the division property of equality.

The second uses the subtraction property of equality.

The third uses multiplication property of equality, which basically means  mulitplying both sides of an equation by the same quantity.

The last one does not follow any property that I am aware of or am acquainted with.

Answer:

Congratulations!

Step-by-step explanation:

Hey!!

1 and 2 are vertical angles.

Vertically opposite angles are always equal to each other.

Hope it helps..

Answer:

D

Step-by-step explanation:

Answer:

2.52 inches

Step-by-step explanation:

Model: 1 inch =150 yds

378/150=2.52

Length of model: 2.52 inch

Answer:

x = 4 , 2

Step-by-step explanation:

x² - 6x + 8=0

(x -2)(x + 4)=0

x= 4,2

Therefore the zeros of f(x) are 4 and 2.

Hope this helps.

Answer:

B. 9.66

Step-by-step explanation:

To find how high the kite is off the ground, we will follow the steps below;

we will use trigonometric ratio to solve the problem. That is;

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = opposite / hypotenuse

tanФ = opposite / adjacent

from the diagram below

Ф = 25°

opposite = x

adjacent = 10 feet

The best trig ratio to use is tan

we can now proceed to insert the values into the formula

tanФ = opposite / adjacent

tan 25° = [tex]\frac{x}{10}[/tex]

cross-multiply

x = 10 tan25°

x ≈4.66 feet

height of the kite off of the ground = x + height of Alice

                                                     =4.66 + 5

                                                     =9.66 feet

Therefore, the kite is 9.66 feet high off  of the ground

Answer:

x=-2

hope this helped

Answer:

Positive Coterminal Angles = 60°,780°

Negative Coterminal Angles = -300°, -660°

Step-by-step explanation:

To find nearest two coterminal angle of 420°:

1) Subtract 360° from 420°:

420°- 360° = 60° (First Positive Coterminal Angle)

2)Add 360° to 420°:

420°+ 360° =780° (Second Positive Coterminal Angle)

To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.

1) Substract 360° from 420°

420°- 360° = 60°

Which is still a positive value.

2) Again Substract 360° from 60°

60°- 360° = -300° (First Negative Coterminal Angle)

3)Subtract 360° from -300°

-300°- 360° = -660° (Second Negative Coterminal Angle)

Answer:

Step-by-step explanation:

the correct question is

A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 cm³. What is the area of the base of the briefcase?

we know that

volume of a rectangular prism=area of the base*height

volume=4875 cm³

h=10 cm

area of the base=volume/height

area of the base=4875/10-----> 487.5 cm²

the answer is

the area of the base is 487.5 cm³

Answer:

487.5 cm³

Step-by-step explanation:

Answers:

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

Answer:

105

Step-by-step explanation:

5x3=15

2x3=6

2x6=14+(4x1)=18

2x6=14+(4x1)=18

1x3=3

2x3=6

4x3=12

6x3=18

add all of them...

=105

if its right can u pls mark as brainliest?

The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2(lw + lh + wh)

Where l is length, w is width and h is height.

Given the data in the image;

For the first rectangular prism

For the second rectangular prism

Now, surface area of the first rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)

S.A = 2( 3cm² + 4cm^2 + 12cm² )

S.A = 2 × 19cm²

S.A = 38cm²

Next, the surface area of the second rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)

S.A = 2( 15cm² + 10cm^2 + 6cm² )

S.A = 2 × 31cm²

S.A = 62cm²

Total surface area TSA = 38cm² +  62cm²

T.S.A = 100cm²

Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²

Learn  more about area of prisms here: https://brainly.com/question/17351910

#SPJ2

What is a slope?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. It is denoted my letter 'm'

                                               y = m x + c

m is the slope

Given data ,

Let the point be P ( x , y ) = P ( 0 , 7 )

Slope m of line = 1 / 6

The equation of line where the point P ( 0 , 7 ) and slope 1/6 is calculated by

y = m x + c

Substitute the values of x and y in the equation , we get

7 = ( 1/6 ) × 0 + c

So , c = 7

Therefore , the equation becomes y = ( 1 / 6 ) x + 7

Hence , the graph of the equation can be described