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The completed proof is presented as follows;

By definition of a rhombus [tex]\overline{JK} \cong \overline{KM}[/tex] and by the reflexive property of

congruence [tex]\overline{KP} \cong \overline{KP}[/tex], because the diagonals of a rhombus bisect a pair

of opposite angles, ∠JKP ≅ ∠MKP, making ΔJKP ≅ ΔMKP by the SAS

congruency postulate, because CPCTC, ∠JPK ≅ ∠MPK, and these angles

are right angles because two angles that form a linear pair are congruent,

thereby making, [tex]\overline{JK} \perp \overline{KM}[/tex] by definition of perpendicular segments.

Reasons:

Please find attached the drawing of the given rhombus JKMH, that show

the point of intersection of the diagonals JM and HK at point P.

Learn more about the properties of a rhombus here:

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Answer:

$290

Step-by-step explanation:

if minimum wage is $7.25

7.25×40= 290

When a triangle is rotated, it must be rotated through a center.

The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)

The triangle is given as: triangle ABC.

And the degree of rotation is 90 degrees clockwise.

Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.

And the orientation would point to the right of point P.

Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).

Read more about rotation at:

https://brainly.com/question/1616371

Answer: Any whole number between 0 and 750, including both endpoints.

One example could be 700 additional songs.

==================================================

Explanation:

x = number of additional songs, some nonnegative whole number

1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.

Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.

[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]

This says the most songs we can add are 750.

Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.

Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]

The number of additional songs is any whole number between 0 and 750, including both endpoints.

The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}

The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.

So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.

Answer:

0 - 750 additional songs

Step-by-step explanation:

current: 0.5 mb

remaining: 2-0.5=1.5 mb

each song: 0.002 gb

take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space

work:

(total amount of storage-used amount of storage)/storage per song

(2.0-0.5)/0.002

= 1.5/0.002

= 750 songs

what are the possible number of additional songs?

anything up until 750.

Answer: C) Move it 3 places to the left

Explanation:

We're dividing the number [tex]34.62[/tex] by [tex]10^3[/tex], which is the same as dividing by 1000.

The exponent 3 tells us how many spots to move the decimal point. We move to the left because the number gets smaller. If we multiplied by [tex]10^3[/tex], then we'd move the decimal point 3 spots to the right.

So, [tex]34.62 \div 10^3 = 34.62 \div 1000 = 0.03462[/tex]

Answer:

C. 14 and 2/3

Answer:

C

Step-by-step explanation:

17 - 2 1/3

17 -2 -1/3

15 -1/3

14 2/3

Answer:

12 km

Step-by-step explanation:

20 minutes = 20 * 60 = 1200 second

distance = velocity * time

car 1 = 1200 * 20 = 24000 m = 24km

car 2= 1200 * 10 = 12000 m = 12km

so distance between them after 20 minutes is 24 -12 = 12 km

Answer:

Answer is A and C on edge

Step-by-step explanation:

The composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

When the two or more than two functions are written in the form of single function. Then such function is called the composite function.

Let suppose there is a function f(x) and another function g(x). Then the composite function can be given as,

[tex]f[g(x)][/tex]

The volume of air in a balloon is represented by the function,

[tex]V(r)=\dfrac{4}{3}\pi r^3[/tex]

Here, r is the radius of the balloon, in inches.

The radius of the balloon increases with time, in seconds, by the function,

[tex]r(t) = \dfrac{1}{4}t^2[/tex]

The composite function that can be used to determine the volume of the balloon after t seconds is,

[tex]V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{4}t^2)^3\\V(r(t))=\dfrac{4}{3}\pi (\dfrac{1}{64}t^6)\\V(r(t))=\dfrac{1}{48}\pi t^6[/tex]

After the 6 seconds,

[tex]V(r(6))=\dfrac{1}{48}\pi (6)^6\\V(r(6))=\dfrac{1}{48}\pi \times46656\\V(r(6))=972\pi[/tex]

Thus, the composite function that can be used to determine the volume of the balloon after t seconds, when V is composed with r is 1/48πt⁶ and after 6 second it is 972π.

Learn more about the composite function here;

https://brainly.com/question/10687170

#SPJ2

Answer:

$35

Step-by-step explanation:

if $7 is only 20% of the original price multiply 7×5

-20%×5=100%

same thing as 7×5=35

just switch the percent by its worth

Answer:

Asapa

[tex] (sin2(0) [/tex]

Rewrite both fractions with a common denominator:

8/11 x 5 = 40/55

3/5 x 11 = 33/55

40/55 is greater than 33/55 so 8/11 is greater than 3/5

Answer:

It is an acute scalene triangle

Step-by-step explanation:

All angles are acute, making it an acute triangle

scalene because all sides are different lengths

Answer:

100 is inital value of that decrease

Hey there!

GUIDE

• The word “sum” means add

• The word “difference” means subtract

• The word “product” means multiply

• The word “quotient” means divide

• The word “is” means equal to

• The “unknown number” is a variable that is not known. So people usually label it as a variable until they figure out what the unknown value is.

Now that we have that information out the way we can solve for your given question.

“The [DIFFERENCE] between [a number] & 16 [is] 49

Lets break it down

• DIFFERENCE (between) = subtract☑️

• A NUMBER = UNKNOWN (so we will label it is as “n”]☑️

• 16 will stay the same because NOTHING was done to it!

• IS = is equal to☑️

We have the key terms out of the way so now we met our answer

ANSWER:

“n - 16 = 49”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4√2 cm

Step-by-step explanation:

ABCD is a square.

Each side measures 8 cm.

So,

AB = BC = CD = AD = 8 cm

P, Q, R, and S are mid - points of ABCD.

P is the mid - point of AB.

So,

AP = PB

AP + PB = AB

AP + AP = AB

2AP = 8

AP = 8 / 2

AP = 4 cm

S id the mid - point of AD.

So,

DS = SA

DS + SA = AD

SA + SA = AD

2SA = 8

SA = 8 / 2

SA = 4 cm

Property of a square : The angle between two sides is 90°.

So,

The angle between side SA and AP is 90°.

So,

SA, AP and SP forms a right angled triangles.

By Pythagoras theorem,

( SP)² = ( SA )² + ( AP )²

( SP )² = 4² + 4²

= 16 + 16

( SP )² = 32

SP = √32

SP = 4√2 cm

Since PQRS is also a square.

In square, all sides are equal.

So,

PQ = QR = RS = SP

Since SP = 4√2 cm

Hence,

PQ = 4√2 cm

Therefore,

the length of PQ is 4√2 cm.

Answer: 5.7

Step-by-step explanation:

Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.

So the midpoint of AB is:

8/2=4 = BP

Since Q is also a midpoint so BQ is equal to 4.

We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.

The hypotenuse of the triangle is PQ.

Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.

P's Theorem : a²+b²=c²

basically in the case of this question it means:

(BP)²+(BQ)²=(PQ)²

now we just subsiture the values and solve for PQ:

4²+4²=(PQ)²

16+16=(PQ)²

32=(PQ)²

PQ=5.65...

= 5.7(rounded to one decimal place)

[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]

Answer:

y=14x

Step-by-step explanation:

Answer:

In this I would choose C

Step-by-step explanation:

Answer:

Solved for n: n < 1.3

Step-by-step explanation:

Are there answer choices included?

Answer:  It is highly unlikely to get both multiplication cards on the first try.

Part A      The question asked is: there are two multiplication cards out of one hundred cards including forty-two addition problem cards and fifty-six subtraction cards.What are the odds of getting just the multiplication cards.The assumption is this we are talking about the first try.

Part B       You make the multiplication cards,  card#1 and card#2. All other cards are #3-100. Then you use the random number generator to see odds of two numbers out of one hundred, which is 0.02%. as I did 2/100 x 1/99 then multiply by 100 so.02

Part C      I got 83 and 27as my first two numbers with my random number generator, So Malachi didn't get a multiplication card in this random test. card #1 and card #2 are the multiplication cards

Part D    The percentage of the time that you'd expect both multiplication cards to be picked is 0.002 or .2%. The proportion of the time that it happened here is 5/1500=.00333 or .33%, which means that this is pretty much in line with what you'd expect

Step-by-step explanation: I got a 10/10 on 3.07 essay test for honors statistics.

Answer:

Step-by-step explanation:

Exact Form:

2

√

2

+

3

√

5

−

2

2

2

+

3

5

-

2

Decimal Form:

7.53663105

…

Answer:

28

Step-by-step explanation:

2(√2+3)² -3(√2+3*√2-2)

expand collect like terms

2(2+6√2+9)-3(4√2-2)

2(2+6√2+9)-3(4√2-2)

calculate remove parentheses

2(11+6√2)-12√2+6

remove parentheses

22+12√2-12√2+6

remove opposite and calculate

solution= *28*

was this helpful???!

Answer:

SU + UT = RT

Step-by-step explanation:

Given that TU = 6 units, RT = 12 units and RS = 24 units.

So,

For finding US, we will subtract the length of RT and TU from RS.

US = RS - RT - TU

US = 24 - 12 - 6

US = 6 units

Putting all the given values in the given conditions, we get the first option right, which is:

SU + UT = RT

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

The answers are underneath each problem. The reason this makes sense is  due to the distributive property.

27. GCF of 27 and 12 is 3

3(4+9)

28. GCF of 12 and 36 is 12

12(1+3)

29. GCF of 16 and 20 is 4

4(4+5)

30. GCF of 2x and 8 is 2

2(x+4)

31. GCF of 30 and 12x is 6

6(5+2x)

32. GCF of 42x and 49 is 7

7(6x+7)

To do this, find the GCF and then divide each number by so. Then, add them in parenthisis and multiply it by the GCF

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent.

Answer: One crate of peaches is $5

Step-by-step explanation:

All you do for this question is divide 125 by 25 gives us 5

Answer:

5

Step-by-step explanation:

Just decide 125 by 25 and get the answer :)

Answer:

A = 9.2 cm²

Step-by-step explanation:

A = 1/2 bh, you know the base = 4.6 and you need to find the height of the triangle.

Drawn the attitude of the equilateral triangle to the base and use a² + b² = c²

c = side of the triangle = 4.6 , b = 1/2 0f 4.6 = 2.3 . the attitude to the base ÷ the base in half.

a² + (2.3)² = (4.6)²

a² + 5.29 = 21.16

a² = 21.16 - 5.29

a² = 15.87

[tex]a = \sqrt{15.87}[/tex]  

Now we know the height of the triangle = [tex]\sqrt{15.87}[/tex] , the base = 4.6

A = 1/2bh

A = 1/2 (4.6)([tex]\sqrt{15.87}[/tex] )

A  = 9.1625

A = 9.2 cm²    or the A of any equilateral triangle = [tex]\frac{\sqrt{3} }{4} s^2[/tex]

                                              A = [tex]\frac{\sqrt{3} }{4} (4.6)^2[/tex]

                                              A = 9.1625

                                              A = 9.2

Step-by-step explanation:

where slope is equal to y2-y1/x2-x1