State the Pythagorean theorem using the triangle shown below

The appropriate scale for a drawing are-

The appropriate scale for a drawing that fits on a regular sheet of paper

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The correct question is attached-

Answer:

25

Step-by-step explanation:

By the Pythagorean Theorem, the sum of the squares of the leg lengths is equal to the square of the hypotenuse:

[tex]a^2+b^2=c^2\\20^2+15^2=c^2\\400+225=c^2\\625=c^2\\25=c[/tex]

Hence, the hypotenuse has a length of 25

Answer:

1.) <

2.) >

Step-by-step explanation: 2 is greater than -12 and -2 is greater than -7.

Answer: 0

Anything multiply 0 will be 0

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Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]0 \times 12 \\ = 0[/tex]

[tex]{\boxed{\boxed{\tt { Note :}}}} \ [/tex]

0 times any number; the answer will always be 0.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

30

Step-by-step explanation:

The sum of the angles in a triangle is always 180

n + 80 + 70 = 180

n + 150 = 180

n = 30º

B.) 10x-5 is equivalent to 6x – 5 + x + 3x

Answer:

i will try to help

Step-by-step explanation:

In the parallelogram PQRS, x = 2 and  y=7

Parallelogram:

A parallelogram is a quadrilateral with two pairs of parallel sides. A parallelogram has opposite sides of equal length and opposite angles of equal length. Also, the interior angles on the same side of the horizontal line are supplementary angles. The sum of all interior angles is 360 degrees. A three-dimensional shape whose faces are parallelograms is called a parallelepiped. The area of ​​a parallelogram depends on its base (one of its parallel sides) and its height (height drawn from top to bottom). The perimeter of a parallelogram depends on the length of its four sides.

Given that

PT=​y, TR=3x+​1, QT=3​y, TS=5x+11

The diagonals of a parallelogram bisect each other

PT = TR    and  QT = TS

y = 3x+1     and 3y = 5x+11

Now,

We have a system of equations

Multiply the first equation by 3

3y = 9x+3  and 3y = 5x+11

Set them equal

   9x + 3 = 5x + 11

⇒ 9x - 5x = 11 -3

⇒ 4x = 8

⇒ x =2

Now,

Putting the value of x =2 in equation :

y = 3x+1

  =3(2)+1

  =7

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Answer:

the square root of 10 is 3.16227766017 which would be closer to 9

Step-by-step explanation:

(a) He made $382.05. This was the amount of money he made from the stock.

(b) The investment yielded a 96.40% return.

How can I find out how much I made and what my investment returned?

The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.

Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.

= $5.09 - $33.38

= -$28.29

Her rate of return will be:

= -28.29/33.38 × 100

= -84.75%

The amount he made with the stock is indicated below taking into account the values of the problem:

778.38 - 396.33 = $382.05.

The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:

382.05/396.33 x 100% = 96.40%.

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Part (a)

Let one of the angles be [tex]\theta[/tex]. After solving for all of the other angles using the triangle sum theorem, we see that [tex]\triangle CDA \sim \triangle BDC \sim \triangle BCA[/tex].

Part (b)

[tex]\frac{BD}{BC}=\frac{BC}{CA}, \frac{DA}{DC}=\frac{DC}{DB}[/tex]

Answer:

Step-by-step explanation:

factoring

e =

(a+1)(a-1-3(a+1))
= (a+1)(a-1-3a-3)

= (a+1)(-2a-4)

= -2(a+1)(a+2)

Yes , she will be able to buy the PlayStation before Marko as she only needs 5 weeks to collect the remaining amount of money.

Cost of PlayStation given = 700 dollars

Amount of money which Rosaline has = 200 dollars

Now, if she has 200 dollars and deposits 100 dollar every week , this means she will be able to collect 700 dollars in 5 weeks of time.

100 dollar = 1 week

therefore, this relation means that  500 dollars = 5  weeks

Hence , she will be able to buy the PlayStation in about 5 weeks from the time she starts collecting the money.

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The value of b is degree 104.we can find by using vertically opposite theorem.

Vertical Angles are when two lines intersect each other then the opposite angles formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.The point where they meet is called a vertex.

Vertical opposite angles that are opposite each other when two lines cross are also known as vertical angles because the two angles share the same corner. Opposite angles are also congruent angles meaning they are equal or have the same measurement.

Now we have

(b-308)=(-2b+4)

b+2b=4+308

3b=312

b=104

Hence the value of b is 104 degree.

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Answer:

Part A is D 125 E and A part B is  C

Step-by-step explanation:

Answer:

(0,-4)

Step-by-step explanation:

Answer:

79=23+8h

or,79-23=8h

or,56/8=h

or,7=h

therefore the value of h is 7.

Step-by-step explanation:

Hope it helps you!!

first you have to do the 23+ you have to make 23 into a subtraction problem in these expressions. 79-23= 56

Now you have to cancel out the 8in 8h and do the opposite of multiplication and do division on both sides 8h/8 cancels out and 56 divided by 8 = 7

your answer is 7 hope this helps

Answer:

70 TIMES 10 IS (700), THATS YOUR ANSWER!

Step-by-step explanation:

Answer:

they are supplementary angles since they add up to 180

Salesman C have a larger paycheck than both of the other salesmen in

None of the weeks.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Salesman A works  earns $65 per sale, with a maximum weekly commission of $1,300

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale.

Salesman C does not earn any commission. His weekly salary is $900.  Now we have that, A is getting $1300 commission,

and, salary of C is $900, he has no commission.

i.e. C can't earn more than A

Hence, Salesman C have a larger paycheck than both of the other salesmen in None of the weeks.

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The solution is Option D.

The week 1 is when Salesman C have a larger paycheck than both of the other salesmen and is given by the equation C = $ 900

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of sales be represented as x

Let the maximum weekly salary of Salesman C be = $ 900

Now , the weekly salary of Salesman A = $ 65x

where x is the number of sales

And , the weekly salary of Salesman B = $ 300 + $ 40x

Now , on week 1,

Salesman A made 11 sales

Substitute the value of x = 11 in the equation , we get

So , the salary of Salesman A on week 1 = 65 ( 11 )

On simplifying the equation , we get

The salary of Salesman A on week 1 = $ 715

And , Salesman B made 14 sales

Substitute the value of x = 14 in the equation , we get

The salary of Salesman B on week 1 = 300 + 40 ( 14 )

On simplifying the equation , we get

The salary of Salesman B on week 1 = 300 + 560

The salary of Salesman B on week 1 = $ 860

So , Salary of Salesman C on week 1 > salary of Salesman B on week 1 > salary of Salesman A on week 1

And , $ 900 > $ 860 > $ 715

Hence , the solution to the equation is week 1

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Answer:

1. (5, 3)

2. (3, -1)

3. (2, 1)

4. (4, 1)

Step-by-step explanation:

hope this helps :)

Answer: 1. (5,3) 2. (3, -1) 3. (2,1) 4. (4,1)

Step-by-step explanation:

1. Graph the system of equation in desmos.

2. Find the intersection point.

3. There's your answer.

Answer:

y = 11.5x - 18

Step-by-step explanation:

i created this table in desmos and then entered this equation underneath:

y₁ (tilda sign) = mx₁ + b

desmos will draw a line of best fit and provide the correlation coefficient, slope, and y-intercept

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

System of inequalities is basically a set of two or more inequalities in one or more than one variable. System of inequalities have multiple solutions & there is more than one constraints on the particular solutions. Here, are symbol used in inequalities .

→ > is the greater than symbol. The quantity to the left of the symbol is greater than the quantity to the right .

→ < is the less than symbol. The quantity to the left of the symbol is less than the quantity to the right .

→ ≥ is the greater than or equal to symbol. The quantity to the left of the symbol is either greater than the quantity to the right, or it is equal to the quantity to the right.

→ ≤ is the less than or equal to symbol. The quantity to the left of the symbol is either less than the quantity to the right, or it is equal to the quantity to the right.

→ ≠ is the not equal to symbol. The quantity to the left of the symbol is not equal to the quantity to the right

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

Step-by-step explanation:

1) 1,15,29,43,57,.....

here, 15-1 =14 and 29-15=14

therefore,it is an arithmetic sequence with common difference = 14

2) 3,6,9,15,17,....

here, 6-3=3, 9-6=3 , 15-9=6

therefore,it is not an arithmetic sequence.

3) 93,86,79,72,65,......

here, 86-93=-7 , 79-86=-7 and 72-79=-7

therefore,it is an arithmetic sequence with common difference = -7

4) 37,34,31,29,26,......

here, 34-37 = -3,31 - 34 = -3,29 - 31 =-2

therefore,it is not an arithmetic sequence.

Answer:

Total area of the fabric = 66 in.²

Step-by-step explanation:

The diagram of the stretched fabric shown takes the shape of a kite having two diagonals that intersect each other.

Total area of the fabric = area of the kite = ½(product of the two diagonals)

= ½(AC × BD)

We need to find AC and BD

BE = DE = 6 in. (Equal lengths)

BD = BE + DE

BD = 6 + 6 = 12 in.

AC = AE + CE

Apply Pythagorean theorem to find AE and CE

✔️AE = √(AB² - BE²) = √((√45)² - 6²) = √(45 - 36) = √9 = 3 in.

✔️CE = √(CD² - DE²) = √(10² - 6²) = √(100 - 36) = √64 = 8 in.

FIND AC:

✔️AC = AE + CE

AC = 3 + 8

AC = 11 in.

FIND the total area of the fabric:

✔️Total area = ½(AC × BD) = ½(11 × 12)

= ½(132)

= 66 in.²

Answer:

9 newspapers and 5 magazines

18 newspapers and 10 magazines

27 newspapers and 15 magazines

36 newspapers and 20 magazines

45 newspapers and 25 magazines

54 newspapers and 30 magazines

63 newspapers and 35 magazines

72 newspapers and 40 magazines

81 newspapers and 45 magazines

90 newspapers and 50 magazines

Step-by-step explanation:

You basically just have to follow this formula

9x newspapers and 5x magazines

x can equal literally any positive integer you want!

just make sure you multiply the 9 and the 5 by the same numebr to keep the ratio the same!

Answer:

(2,-1)

Step-by-step explanation:

Rewrite in vertex form

y = -1/4(x-2)^2-1

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$ 41 thousand less than twice that of an individual. the average yearly salary of an individual with each of these final degrees is: $50,000 (Bachelor's degree) and $59,000 (Master's degree )

Let x represent the average yearly salary of an individual with the bachelor's degree

Let (2x-41000) represent the   average yearly salary of an individual with the master's degree

Let the sum of these salaries = 109000

So, x + (2x-41000) = 109000

Simplify and solve:

3x = 109000 + 41,000

3x = 150,000

Divide both side by 3x

x= 150,000/3

x = 50,000 (Bachelor's degree)

So,

(2x-41000)

= 2(50,000) - 41,000

=100,000 - 41,000

= $59,000 (Master's degree )

Therefore the average yearly salary is $50,000 (Bachelor's degree) and $59,000 (Master's degree )

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Answer:

9

Step-by-step explanation:

mathwa y use your pic and do it