Find the unknown side length

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.

  110° = 2x + 70°

  40° = 2x

  20° = x

_____

Similarly, ...

  y = x + 70° = 20° +70°

  y = 90°

Answer:

10

Step-by-step explanation:

20x2= 40

40÷8= 5

I just rounded to the tens because whole number didn't make sense but I think it's the right answer.

Answer: Its possible I am very wrong but I think its most likely like 5 pizza boxes

because each person will have 2 slices and in each box there is 8 due to the guidelines. You can check this by doing 5(boxes) times 8(slices in each box) and it'll equal 40(number of slicers per person.

Step-by-step explanation:

I did 20 times 2 which equal 40

Then divide that by 8 which equals 5

Answer:

Agree with Luke!

Step-by-step explanation:

The Chess Club has 8 members

Total number of outcomes = 8

A new captain will be chosen by randomly selecting the name of one of the members

Number of favorable outcome (captain) = 1

Probability  = Number of Favorable outcome / Total number of outcomes

Probability = 1 / 8

Agree with Luke!

I don't agree with Leah.

I agree with Luke because.... The Chess Club has 8 members

Total number of outcomes = 8

A new captain will be chosen by randomly selecting the name of one of the members

Number of captains that will be chosen = 1

Probability  = Number of Favorable outcome / Total number of outcomes

Probability = 1 / 8

Answer: 9 feet, 22 feet and 23 feet

Step-by-step explanation:

Let the smallest side be x.

The middle length side is 4feet greater than twice the length of the smallest​ side. This will be:

= (2 × x) + 4 = 2x + 4

The longest side is 4feet less than 3 times the length of the smallest side. This will be:

= (3 × x) - 4 = 3x - 4

Perimeter = x + 2x + 4 + 3x - 4

x + 2x + 4 + 3x - 4 = 54

Collect like terms

6x = 54

x = 54/6

x = 9

The three sides are

Smallest side = 9 feet

Middle side = 2x + 4 = 2(9) + 4 = 18+4 = 22 feet

Longest side = 3x - 4 = 3(9) - 4 = 27 - 4 = 23feet

Answer:

54x-126

Step-by-step explanation:

12(3x – 7) + 6(3x – 7)

1. Use Distributive Property

36x-84+18x-42

2. Combine like-terms

54x-126

Answer:

54x-126

Step-by-step explanation:

12(3x – 7) + 6(3x – 7)

36x-84+18x-42

54x-126

Answer: AC=3.5

Solve proportionally:3 over 4 equals 1.5 over x.

3x= 6

6/3=2

X=2

2+1.5=3.5

Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Than the length of AC will be 3.5.So,The answer is  AC=3.5 Given: AX = 3 ,XB = 4, AY = 1.5

To find: AC

Since line XY is parallel to BC, then AX/XB = AY/YC

Substitute the given values: 3/4 = 1.5/YC

Solve for YC: YC = 6/5

AC = YC + AY = 6/5 + 1.5 = 3.5

Therefore, the length of AC is 3.5.

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Answer:

10

Step-by-step explanation:

by Pythagoras theorem,

PR^2=PQ^2+PR^2

Therefore,PR=√(PQ^2+PR^2)

=√(6^2+8^2)

=√100

=10

Answer:

deciaml form would be 0.825742185

Step-by-step explanation:

Answer:

He can get only six tickets.

32 divided by 4.85 is 6.5979

which is only enough for 6 tickets

Step-by-step explanation:

Answer:

3 Because there are only three bells that aren't being run there for three additional ways that the bells could be rung

Answer: x=-10

Step-by-step explanation: hope this help

Answer:

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Step-by-step explanation:

Answer:

like up the numbers on the right

Step-by-step explanation:

multiply as if you were multiplying regularly up and down then bring down the decimal point after

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.

There would be 13 less or equal to the median height.

hope i helped ;)

Answer:

whats the question?

Step-by-step explanation:

Answer:

c on edge

Step-by-step explanation:

just took the quiz

The equation representing the circle A is (x – 4)² + (y + 5)² = 36.

A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.

The general equation of circle is given by equation

( x - h )² + ( y - k )² = r²

Where,  ( h, k ) is the centre and 'r' is the radius.

As, the circle has a shift of 4 units on the +x axis.

The circle has a shift of the 5 units on the -y axis.

As, the circle has a radius of 6 units from the graph.

So, (h,k) = (4, -5).

Substitute the values of (h,k) in the general equation of the circle.

( x - 4 )² + ( y - (-5) )² = 6²

( x - 4 )² + ( y + 5 )² = 36

Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.

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Answer:

6

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

3x+5=14

   -5  -5

3x=9

/3  /3

x=3

Answer:

x=3

Step-by-step explanation:

...........................

Answer:

(3,-12)

x = 3, y = -12

Step-by-step explanation:

(1) y=x-15

(2) y=-4x

solve equation (1) for x:

add 15 to both sides

x=y+15

plug in x=y+15 into equation (2):

y=-4(y+15)

y=-4y - 60

5y = -60

y = -12

plug in y=-12 into equation (2):

-12 = -4x

3 = x

Answer:

75

Step-by-step explanation:

4/30 = 10/x

cross multiply: 300=4x

divide: 300/4= 75

Answer:

X+2 Y-9

May nilbin be with you

Answer:

Check explanation

Step-by-step explanation:

[tex]\frac{3(x+2)}{3(x+3)(x+3)}*\frac{(x+3)(x-4)}{(x+2)(x-2)}[/tex]

Answer:

a = 45

Step-by-step explanation:

Start by changing the fractions so they share a common denominator to combine like-terms:

6/10a - 5/10a = 9/2

1/10a = 9/2

Multiply both sides by 10 to isolate a.

a = 90/2

a = 45

Answer:

on 4x + 33 = 10x + 3, we could use inverse operation and move 10x to left side, which will create -6x+33=3. we could also use the same thing to 33 and get -6x=-30. if we divide -30 by -6, we would get 5

Step-by-step explanation:

4+33=10+3

4+33−33=10+3−33

4=10−3

=5

Step-by-step explanation:

(18-12)/12=6/12=0.5

0.5*100=50% increase

i think so

Answer:50% increase

Step-by-step explanation:

12 x .50 = 6

12 + 6 = 18

Answer:

By closure property of multiplication and addition of integers,

If [tex]x + \dfrac{1}{x}[/tex] is an integer

∴ [tex]\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot \left (x + \dfrac{1}{x} \right )[/tex] is an integer

From which we have;

[tex]x^3 + \dfrac{1}{x^3}[/tex] is an integer

Step-by-step explanation:

The given expression for the positive integer is x + x⁻¹

The given expression can be written as follows;

[tex]x + \dfrac{1}{x}[/tex]

By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;

[tex]\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot x + \dfrac{3}{x}[/tex]

By simplification of the cube of the given integer expressions, we have;

[tex]\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot \left (x + \dfrac{1}{x} \right )[/tex]

Therefore, we have;

[tex]\left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )= x^3 + \dfrac{1}{x^3}[/tex]

By rearranging, we get;

[tex]x^3 + \dfrac{1}{x^3} = \left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )[/tex]

Given that  [tex]x + \dfrac{1}{x}[/tex] is an integer, from the closure property, the product of two integers is always an integer, we have;

[tex]\left ( x + \dfrac{1}{x} \right) ^3[/tex] is an integer and [tex]3\cdot \left (x + \dfrac{1}{x} \right )[/tex] is also an integer

Similarly the sum of two integers is always an integer, we have;

[tex]\left ( x + \dfrac{1}{x} \right) ^3 + \left(- 3\cdot \left (x + \dfrac{1}{x} \right ) \right )[/tex] is an integer

[tex]\therefore x^3 + \dfrac{1}{x^3} = \left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )= \left ( x + \dfrac{1}{x} \right) ^3 + \left(- 3\cdot \left (x + \dfrac{1}{x} \right ) \right )[/tex] is an integer

From which we have;

[tex]x^3 + \dfrac{1}{x^3}[/tex] is an integer.

The table be like

Mike age        kellie age

10                     14

15                     19

20                    24

25                    29

Since Mike's sister, Kellie, is 4 years older than he is

And, Let m be Mike's age and let k be Kellie's age.

So here the equation be like

k = m + 4

Based on this we can compute the ages and fill the table

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Answer:

5

Step-by-step explanation:

Step-by-step explanation:

plzz mark me as brainlest sorry if I dont know the answer I'm just 10 tho

Answer: 1: (2/v) 2: (3/m^4) 3: (4/x^4) 4: (1/k^3)

Step-by-step explanation:

When there is a negative exponent, the variable moves from the numerator (top) to the denominator (bottom), which gets rid of the negative sign in front of the exponent. MOVE ONLY THE VARIABLE AND CORRECT EXPONENT!!

Answer:

343 cards

Step-by-step explanation:

Each pack has 8 cards so you do 7x8 which gives you 56. Then you add 287 and 56 to get 343 cards.

Answer:

x=30

Step-by-step explanation:

Answer:

Step-by-step explanation: