If MN=14, NO=11, and QR=27, find the length of PQ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Answer:

f(3) = 28.26

Step-by-step explanation:

Substitute r = 3 into f(r) , that is

f(3) = 3.14 × 3² = 3.14 × 9 = 28.26

Answer:

Step-by-step explanation:

A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.

Answer:

1. 155 degree

2. 135 degree

3. 105 degree

Step-by-step explanation:

1. Let the original angle is 50 degree, the opposite angle which forms a linear pair is 180 - 50 = 130 degree.

Now the angle bisector is 25 degree from the original ray , the angle between the bisector and the opposite ray is 130 + 25 = 155 degree.

2. Let the original angle is 90 degree, the opposite angle which forms a linear pair is 180 - 90 = 90 degree.

Now the angle bisector is 45 degree from the original ray , the angle between the bisector and the opposite ray is 90 + 45 = 135 degree.

3. Let the original angle is 150 degree, the opposite angle which forms a linear pair is 180 - 150 = 30 degree.

Now the angle bisector is 75 degree from the original ray , the angle between the bisector and the opposite ray is 30 + 75 = 105 degree.  

Answer:

I think it is 52 degrease

Step-by-step explanation:

Answer:

x > 4

Step-by-step explanation:

4x + 3 > 19

4x + 3 - 3 > 19 - 3

4x > 16

4x/4 > 16/4

x > 4

Hope this helps.

[tex]4x + 3 > 19 \\ = > 4x > 19 - 3 \\ = > 4x > 16 \\ = > x > \frac{16}{4} \\ = > x > 4[/tex]

Answer:

x > 4

Hope you could understand.

If you have any query, feel free to ask.

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

Answer:

Step-by-step explanation:

Solve using ratios:

Find x:

Answer:

octagon which has eight sides.. (1st option )

Step-by-step explanation:

this is the hardest I think

Answer:

.

Step-by-step explanation:

Answer:   y = 2x+22

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

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular

Answer: Choice B) The diagonals of a rhombus are perpendicular

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

Explanation:

Let's go through the answer choices to see which are true statements, and which are false.

Answer:

(a) basketball

(b) hat

(c) stuffed animal

explanation:

I'm not sure if got right but from what i see;

Chances from 1-23 you get a stuffed boi

Chances from 24-54 you get a hat (why)

Chances from 55-100 you get a basketball

Winner 5 got 90, which is between 55-100

Winner 6 got 35, which is between 24-54

winner 8 got a 7, which is between 1-23

Hope I didn't read it wrong

Answer:

{2,6,14}

Step-by-step explanation:

The range are the f(x) values

the domain are the x values

So we have it that;

f(-1) = 4(-1) + 6 = 2

f(0) = 4(0) + 6 = 6

f(2) = 4(2) + 6 = 14

so we have the range as;

{2,6,14}

Answer:

second one

Step-by-step explanation:

just read where the purple line finishes on the x axis, in this case it’s 5 so it’s greater than 5 or equal to it.

Answer:

Her investment will increase by 551.54 dollars

Step-by-step explanation:

So we know that the exponential function formula is f(x)=a(1+r)^x

So knowing that we can input values

So now we have f(x)=400(1+0.055)^6

Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6

So next we have to add 1 and 0.055 which is 1.055

So we input that into the equation so now we have f(x)=400(1.055/1)^6

Now we have to do (1.055/1) to the power of six, so we get 1.37884280676

Now we have to 1.37884280676 times 400,  which would be 551.537122705.

Assuming they want to the nearest 100th it would be 551.54

So the answer is 551.54 dollars

Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)

Answer:

Reflected over y-axis

Answer:

A, 12 times the square root of 3

Step-by-step explanation:

24 sqaured plus 12 squared=432

square root of 432=20.9

12 times the sqaure root of 3=20.9

Answer:

x² + y² = 85

Step-by-step explanation:

Using the expansion

(x - y)² = x² + y² - 2xy , then

x² + y² - 2xy = (x - y)² ( add 2xy to both sides )

x² + y² = (x - y)² + 2xy ← substitute given values

          = 9² + 2(2)

          = 81 + 4

          = 85

Answer:

In this exercise we need to solve the equation

3(x-2) = 2x + 6 - 2

We operate the parentheses and the right side

3(x-2) = 2x + 4

3x - 6 = 2x + 4

We add 6 to both sides

3x -6 + 6 = 2x + 4 + 6

3x = 2x + 10

We substract 2x

3x - 2x = 2x + 10 - 2x

x = 10

x = 10

Step-by-step explanation:

Answer:

The answer is "sugar= 200g, flour=600g, and butter=400g".

Step-by-step explanation:

[tex]50\ g \ sugar = 15\ biscuits\\\\3 \times 50 \ g = flour \\\\150\ g = flour\\\\2 \times 50 \ g = butter \\\\ 100 \ g = butter\\\\\frac{60}{15} = 4\\\\ 4 \ \text{times as much}\\\\4 \times 50\ g = 200\ g \ of\ sugar\\\\4 \times 150\ g = 600\ g \ of\ flour\\\\4 \times 100\ g = 400\ g \ of\ butter\\\\[/tex]

Answer:

See below.

Step-by-step explanation:

A perpendicular bisector of a segment is perpendicular to the segment and intersects the segment at its midpoint.

A. JL = KL     True

B. Line s is perpendicular to JK     True

C. Point L is the midpoint of JK      True

D. Line s intersects JK at a 180° angle      False

E. Line s is parallel to JK     False

Answer:

cost per serving can be used as a result of using your head to think

Answer:

linear

Step-by-step explanation:

the graph in the above equation is linear function

Answer:

please mark me brainlist

Step-by-step explanation:

Answer: B. 80

Step-by-step explanation:

Solve the equation they've given you:

[tex]\frac{3}{4} S=60\\\frac{3S}{4} =60\\3S=60*4\\3S=240\\S=80[/tex]

Answer:

B.  80

Step-by-step explanation:

(3/4)S = 60

You want to isolate S. S is being multiplied by 3/4.

You need to multiply 3/4 by its reciprocal to get rid of the 3/4 on the left side.

The reciprocal of 3/4 is 4/3.

The rule with equations is that you are allowed to multiplied both sides of an equation by the same number. Multiply both sides of the equation by 4/3.

4/3 * (3/4) * S = 4/3 * 60

12/12 * S = 4/3 * 60/1

1 * S = 240/3

S = 80

Answer: B.  80

Answer:

4.8%

if we assume that the first card is REPLACED (otherwise the formula gets complex)

[tex](\frac{4}{52} )(\frac{32}{52} ) = \frac{8}{169} = .048[/tex]

Step-by-step explanation:

13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

In a deck of 52 playing cards

We need to find the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

n(S) =52

And the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is,

n(E) =13 a set of a diamond suit, because a diamond suit has {A, K ,Q ,J ,2,..,9}

Thus, the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9 is 13/52 or 1/4 .

Hence, 13/52 is the probability, as a fraction, of drawing a picture card (A, K, Q, and J) that is also a diamond then a card numbered 2-9

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Answer:

[tex]\angle DFE = \angle DFG[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

What makes DEF and DGF congruent

We have:

[tex]EF = GF[/tex] --- this is indicated by the single line on both sides

Also:

[tex]DF = DF[/tex] --- both triangle share same side

For SAS to be true;

2 sides and 1 angle must be equal in either triangles

So far, we have:

[tex]EF = GF[/tex] ---- S

[tex]DF = DF[/tex] ---- S

The additional to complete the proof is:

[tex]\angle DFE = \angle DFG[/tex] ---- angle between the above sides

Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG. Option B.

Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.

The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.

So that,

GF ≅ FE (given)

DF is the common side to triangles DEF and DFG.

DFG is the included side.

Thus;

∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)

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