How can I solve this problem?

CPCTC is the missing reason in step six.

CPCTC states that corresponding part of the congruent triangles are congruent.

Here, Given: ABCD is a quadrilateral,

In which AD ≅ BC and AD║BC

Prove : ABCD is a parallelogram.

Statement                                                  Reason

1. AD ≅ BC; AD║BC                                      1. Given

2.∠CAD and ∠ACD are alternative angles  2. Definition of alternative angles

3. ∠CAD ≅∠ACB                                           3. alternative angles are congruent

4. AC ≅ AC                                                    4. Reflexive property

5.△CAB ≅ △ACB                                           5. SAS congruence postulate

6. .AB ≅ CD                                                   6. CPCTC

7. ABCD is a parallelogram                         7. Parallelogram side theorem

Therefore, CPCTC is six step.

Learn more about parallelogram here:

https://brainly.com/question/26768239

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Answer:

1) 7/12

2) 35/132

Step-by-step explanation:

1) 7/12

2) 7/12x5/11=35/132

Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

Answer:

Step-by-step explanation:

The easiest way to do this is to assume you don't get a 1 or 2. You make your first draw from 8.

8 * 7 * 6 * 5 = 1680

The total number of ways of drawing 4 marbles is

10*9 * 8 * 7 = 5040

P(`(1 or 2) ) = 1680 / 5040 = 0.33333

The probability of getting a 1 or 2 in 4 throws = 1 - 0.3333 = 0.66667

Answer:

8ft

Step-by-step explanation:

Use similarity and congruence

AB/ED=AC/EF

3/6=4/X

CROSS MULTIPLICATION

3X=6*4

3X=24

X=8ft

Answer: C.) 56 square centimeters

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

10 x 2 is 20

6 x 2 is 12

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

Answer:

Step-by-step explanation:

y+3=1/2(x-6)

Answer:

-87

Step-by-step explanation:

Answer:

-87

Step-by-step explanation:

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Answer:

The answer is "717.25 minutes".

Step-by-step explanation:

In this question first, we arrange the value in ascending order that are:

307,311,321,322,354,363,377,406,425,435,461,464,474,499,505,513,517,534,548

The median is always in an orderly position that is [tex]= \frac{(n+1)}{2}[/tex].

[tex]\to \frac{(n+1)}{2} = \frac{(20+1)}{2} = 10.5[/tex]  position orders

[tex]10^{th} \ and \ 11^{th}[/tex] place an average of observations so, the

[tex]Average = \frac{(425 +435)}{2} = \frac{(860)}{2} =430[/tex]

Because as medium stands at 10.5 that median is as below 10 are greater than the level.

[tex]Q_1[/tex] often falls throughout the ordered BELOW average is [tex]= \frac{(n+1)}{2}[/tex] place.

[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex]ordered position

Average [tex]5^{th} \ and \ 6^{th}[/tex]  location findings

[tex]Q_1 = \frac{(354+363)}{2} = \frac{(717)}{2}= 358.5[/tex]

In  [tex]= \frac{(n+1)}{2}[/tex] the ordered place, Q3 always falls ABOVE the median.

[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex] ordered At median ABOVE 

Consequently [tex]Q_3[/tex] falls between [tex]5^{th} \ and \ 6^{th}[/tex] ABOVE the median position

[tex]15^{th}\ and \ 16^{th}[/tex]place average of observations

[tex]\to Q_3 = \frac{(499+505)}{2}=\frac{(1004)}{2} = 502[/tex]

[tex]\to IQR = Q_3 - Q_1= 502-358.5= 143.5[/tex]  

[tex]\to \text{Upper fence} = Q_3 + 1.5 \times IQR= 502 + 1.5 \times 143.5 = 717.25[/tex]

Answer:

The height of a bouncing ball is defined by [tex]h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}[/tex].

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

[tex]h = h_{o}\cdot r^{n-1}[/tex], [tex]n \in \mathbb{N}[/tex], [tex]0 < r < 1[/tex] (1)

Where:

[tex]h_{o}[/tex] - Height reached by the ball on the first bounce, measured in feet.

[tex]r[/tex] - Decrease rate, no unit.

[tex]n[/tex] - Number of bounces, no unit.

[tex]h[/tex] - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

[tex]r = \frac{h_{1}}{h_{o}}[/tex] (2)

Where [tex]h_{1}[/tex] is the height reached by the ball on the second bounce, measured in feet.

If we know that [tex]h_{o} = 6\,ft[/tex] and [tex]h_{1} = 4\,ft[/tex], then the expression for the height of the bouncing ball is:

[tex]h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}[/tex]

The height of a bouncing ball is defined by [tex]h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}[/tex].

Answer:

9 (2/3) ² but insted of 2 its n

Step-by-step explanation:

Answer:

$25

Step-by-step explanation:

Simply by using long division, this can be solved. Change 60% into its decimal form (0.6,) and divide 15 by 0.6.

Answer:

- 1800 ; 4284.8579 ;

Step-by-step explanation:

Given the table :

Outcome _____ probability

-12000 ________ 0.15

__ 0 __________ 0.85

Expected loss, m: Σx*p(x)

(-12000 * 0.15) + (0 * 0.85)

-1800 + 0 = - 1800

Standard deviation = sqrt(Var(x))

Var(x) = Σx²*p(x) - m²

(-12000^2 * 0.15) + (0^2 * 0.85)] - 1800^2

21,600,000 - 3240000

= 18360000

Standard deviation = sqrt(18360000)

Standard deviation = 4284.8579

Answer:

5,10,15?

Step-by-step explanation:

???

Answer:

81

Step-by-step explanation:

25 and 27 are not perfect squares so they can not be the answer.

36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81

Answer:

7.)

a. y = -3x+3

b. y = 3x + 4

c. y = x + 3 (not sure about this one)

8.)

x = 63

y = 6

6.)

left an attachment (not sure about the growth triangle though)

5.)

Red Line - slope = -2

                 y-in = 1

Blue Line - slope = (1/2) or 0.5

                  y-in = 3

Green Line - slope = (-2/3) or 0.667

                    y-in = -4

Step-by-step explanation:

Sorry it took me so long

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

Learn more here: https://brainly.com/question/16467846

Answer:

Step-by-step explanation:

all of the numbers in the nth row are coefficients in the expansion of (a+b)^n

Answer:

(2x+3)10!

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3x7=21

3x10=30

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.

Answer:

Step-by-step explanation:

(1+p)^4 = 5.0625

1+p = 5.0625^0.25 = 1.5

p = 0.5

Answer:

3/4a-1/3b

OR

-1/3b+3/4a

Step-by-step explanation:

copy this and translate it, because I can't talk this language

add like terms 1/2a+1/4a=2/4a+1/4a=3/4a

then you write -1/3b itself because it don't have like terms

the final answer will be:

3/4a-1/3b

OR

-1/3b+3/4a

Answer: y=0.25

Step-by-step explanation: 1.2 / 4.8 = 0.25

Answer:

Buying the larger box, I will be saving 23% compared to the original price.

Step-by-step explanation:

Given that a box contains 300 swabs for 2.99 and the other box is specially marked at 30% more swabs for the same price, to determine how much will I save per swab by buying the larger box the following calculation must be performed:

2.99 / 300 = X

0.0099 = X

2.99 / (300 x 1.3) = X

2.99 / 390 = X

0.0076 = X

0.0099 = 100

0.0076 = X

(0.0076 x 100) / 0.0099 = X

77 = X

100 - 77 = 23

Therefore, buying the larger box I will be saving 23% compared to the original price.

Answer:

x = 3

Step-by-step explanation:

First you want to add the numbers.

6x - 1 + 4x + 21 = 50

6x + 20 + 4x = 50

Then you want to combine like terms

6x + 20 + 4x = 50

10x + 20 = 50

Then subtract 20 from BOTH sides of the equation

10x + 20 = 50

10x + 20 - 20 = 50 - 20

After, simplify.

10x = 30

Then divide BOTH sides of the equation by the same term

10x / 10  = 30 / 10

Simplify ..

x = 3

And your answer is going to be x = 3! Hope this helps! :)

Answer:

10

Step-by-step explanation:

275 - (75*3). This is the money he has left.

Divide that by 5 to get 10 mouthguards.

Answer:

10

Step-by-step explanation:

3 times 75=225 275-225=50 50/5=10