Use the SAS Postulate to prove triangle W X Y approximately equal to triangle W Z Y space i f space stack W Z with bar on top approximately equal to stack W X with bar on top space a n d space angle Z W Y approximately equal to angle X W Y.

Answer:

 19.5 = CD

Step-by-step explanation:

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Now ED = EC + CD

        26 = 6.5 + CD

         19.5 = CD

The value of the segment CD will be equal to 19.5.

The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.

The value of the segment CD will be calculated as below:-

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Calculate CD.

ED = EC + CD

26 = 6.5 + CD

19.5 = CD

Therefore, the value of the segment CD will be equal to 19.5.

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Answer:

-3 1 2 3 4

Step-by-step explanation:

Answer:

-3 1 2 3 4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The value 500 represent the option C. The amount of money for Julian's initial deposit.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given that, Julian opened a college savings account.

The amount of money in his account can be calculated using the function,

C(t) = 500 (1.03)^t.

Here t is the time in years since the initial deposit.

When t = 0,

C(0) = 500 (1.03)^0

       = 500 × 1    (since any number x⁰ = 1)

       = 500

So the deposit at t = 0 means the initial deposit.

So 500 is the initial deposit.

Hence 500 represents the initial deposit amount.

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Answer:

y=2x-4

Step-by-step explanation:

f(x)=1/2x+2

y=1/2x+2

-----------------

x=1/2y+2

1/2y=x-2

y=2(x-2)

y=2x-4

Answer:

Step-by-step explanation:

The goal in scientific notation is to express a value in terms of a number that contains a single unit before the decimal point.  

Examples:

10000:  1.0 x 10^4

23456:  2.3456x10^4

In both cases, the x10^4 is telling us to multiply the first number by 10,000.  10^4 is the same as 10x10x10x10 = 10,000

The justification for scientific notation is that is makes expression large and small numbers much easier, as well as reduces errors due to an incorrectly placed decimal.

An example:  Divide 2500000000 by 5000.  That would normally require setting up a long-hand division problem that not only wastes paper and pencil, but is also prone to decimal point errors.

Do the same problem with scientific notation:

Count the places you want to move the decimal point backwards to just beyond the 5 in 2500000000.  It takes nine steps to move the decimal point to between the 2 and 5:  2.5 followed by 8 zeros.  That's a total of next steps to go in front of the 5.  This is written 2.5 x 10^9

5000 is represented by 5.0x10^4

Now when we divide the same numbers, but in scientific format, it is easier to see the answer:

(2.5x10^9)/(5.0x10^4)

2.5/5 = 0.5

10^9/10^4 = 10^5  [The exponents are subtracted when dividing with exponents:  9-4 = 5]

Put them together to find the final answer:  0.5x10^5

Then move the decimal point one spot to the right and reduce the exponent by 1:

5.0x10^4

------

Add exponents when multiplying:  10^3 x 10^5 = 10^8  (3+5=8)

Subtract when dividing:  10^7/10^2 = 10^5  (7-2=5)

Multiply when there is an exponent raised to another exponent:  (10^4)^3 = 10^12 (4x3 = 12)

Hello there today we will solve your problem, we will need to factorize btw...

[tex]{\huge{\boxed{\mathfrak{Equation}}}[/tex]

[tex]{\big{\boxed{\frac{x^2-5x+4}{x^2-4x}}}}[/tex]

First we will factor [tex]x^2-5x+4[/tex], which gives us [tex]\left(x-1\right)\left(x-4\right)[/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\left(x-1\right)\left(x-4\right)}{x^2-4x}\\[/tex]

factorize [tex]x^2-4x[/tex] giving us [tex]x\left(x-4\right)[/tex]

[tex]\frac{\left(x-1\right)\left(x-4\right)}{x\left(x-4\right)}[/tex]

cancel the common factor [tex]x-4[/tex]

and we get [tex]\frac{x-1}{x}[/tex]

Answer:

one left so they all shift by 1

Answer:

I'm thinking its a no because the money is odd every time Jayden adds $5

Step-by-step explanation:

Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.

Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.

Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,

[tex]\to y = 11+5x[/tex]

Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,

[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]

As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].

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Answer:

R=11cm, r=3cm

Step-by-step explanation:

π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².

hope this helps you.

Answer:

41

Step-by-step explanation:

a² + b² = c²

9² + 40² = c²

81 + 1,600 = c²

√1681 = √c²

41 = c

Answer:

16/21

Step-by-step explanation:

Answer:

3x cm long.

Step-by-step explanation:

If one piece is x cm

and there are 3 together, presumeabley the same length

then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.

Have a good day!

Answer:

3x cm long

Step-by-step explanation:

3 times x is 3x

Answer:

5 because 20 percent in a fraction is 1/5 so you would just divide 25 by 5. Or you could do 25 times .2 and your answer is still 5.

Step-by-step explanation:

20% of 25 is 5

25 Percentages

1% = 0.25

5% = 1.25

10% = 2.5

15% = 3.75

20% = 5

Answer:

D

Step-by-step explanation:

Answer:

12 square units

Step-by-step explanation:

once you plot the triangle on a graph, you'll see that the height is 4 sq inches, while the base is 6. multiply those two and you get 24, and divide that by 2. thats 12

Answer:

x=1, y=-1. (1, -1).

Step-by-step explanation:

-x+2y=-3

-8x-3y=-5

----------------

-8(-x+2y)=-8(-3)

-8x-3y=-5

------------------------

8x-16y=24

-8x-3y=-5

-----------------

-19y=19

y=19/-19

y=-1

-x+2(-1)=-3

-x-2=-3

-x=-3+2

-x=-1

x=1

(1, -1)

Answer:

x = 1, y = -1

or as an ordered pair, (1, -1).

Step-by-step explanation:

  -x  + 2y = -3

-8x — 3y = -5

Multiply first equation by -8:

8x - 16y = 24

Add this equation to the second equation:

-19y = 19

y = -1.

Plug y = -1 into the second equation:

-8x - 3(-1) = -5

-8x + 3 = -5

-8x = -8

x = 1.

Answer:

the answer is this hope it helps im not sure if its all right good luck.

Step-by-step explanation:

A. 65-2x=6x+9

B. 9-x=14x

C. 3+4x=5x-4

d is wrong

The first and third equations have {7} as their solution set.

It is a mathematical statement that is made up of two expressions connected by an equal sign.

The first equation is

65−2x=6x+9

Rearranging the above equation gives

8x = 65-9 = 56

i.e x = 7

Consider the second equation,

9−x=14x

i.e x = 9 / 15 = 0.6

The third equation is:

3+4x = 5x−4

i.e x = 7

The last equation is

x^2+1 = 8x−5

Its solution is not equal to 7.

As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.

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Answer:

yeyeyeeyeyeeyeey

Step-by-step explanation:

Answer:

How much it cost!? Will it fly?! How far will it fly?!

Step-by-step explanation:

The amount of the account which is also the principal is = $3,188

The formula for calculating the simple interest (I) of an account is = P × T × R / 100

Making P the subject of formula, P = 100 × I / T×R

Where,

T = 2 years

R = 12%

I = $765. 13

[tex]p = \frac{100 \times 765.13}{2 \times 12} [/tex]

[tex]p = \frac{76513}{24} [/tex]

p = $3,188

Therefore, the amount of the account which is also the principal is = $3,188

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Answer:

C, both plans will work for achieving the goal.

Step-by-step explanation:

For plan A, you must multiply 7.20 by 9, then multiply the product by 8. The answer is 526.4 This means that plan A will work, and more than the original goal will be saved up.

For plan B, you must multiply 6.50 by 15, then multiply the product by 6. The answer is 585. This is more than the original goal, so plan B would work as well.

This means that C is correct, because both plans will work for achieving the goal.

Answer:

C

Step-by-step explanation:

Edged 2022

Answer:

Example of an equation with an undefined slope: x = 2

Step-by-step explanation:

The standard form of linear equations with an undefined slope is x = a, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (a, 0).  

The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.  

For example, suppose that we have the following points (2, 5) (2, 10).

Let (x₁, y₁) = (2, 5)

     (x₂, y₂) = (2, 10)

Substitute these values into the slope formula:

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}\:=\:\frac{10\:-\:5}{2\:-\:2}\:=\frac{5}{0}}[/tex]

Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.

Thus, the equation of the vertical line will be: x = 2, where a = 2.

Answer:

Step-by-step explanation:

Given:

Number of coins is 16:

Total amount is $2.95:

Correct choice is A

Answer:

The change in value is 19,000 altogether and 1900/year

Step-by-step explanation:

Change in value:

initial value - final value

= $26,000 - $7000

= $19,000

Change in value/year:

change in value/time

= $19,000/10

= $1900/year

the line go through 2 points ( -4 ; -5 ) and ( 6 ; 4 )

ANSWER: [tex]y=\frac{9}{10}x -\frac{7}{5}[/tex]

ok done. Thank to me :>

Answer:

1:2 by division of 5

10:9 by division of 6

Answer:

50

110

90

=250

Step-by-step explanation: 90+50+110

I HOPE THIS HELPS

Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

Answer:

Step-by-step explanation:

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

As we see the option 2 is better choice and the difference is:

Answer:

D.

Step-by-step explanation:

It's not linear but it is decreasing.

Answer: Firstly, we take a look at the Y numbers to figure out if we're increasing or decreasing. Obviously, the numbers are going into the negatives so we know it's decreasing. After plotting the graph you'll see it's constant and in a straight line making it linear. So, your answer would be decreasing; linear.

Answer:

B. an arithmetic sequence

Step-by-step explanation:

hope this helps :)