What other information is needed to prove that Triangle CEB is congruent to Triangle AED by SAS congruence theorem?

Answer:

Step-by-step explanation:

Given

Distance covered by the bird = 400km

Time taken = 8 hours

Using the formula;

Speed = Distance/Time

S = d/t

Find the speed first:

S = 400km/8hr

S = 50km/hr

Substitute back into the formula:

S = d/t

50 = d/t

50t = d

d = 50t

This means that the distance d is directly proportional to the time with 50 as the constant of proportionality.

Hence the constant of proportionality for the relationship between distance in kilometers is 50.

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

Answer:

1.5

Step-by-step explanation:

Lmk if i need to explain!

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

[tex] \longrightarrow [/tex] l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft

Answer:

Real numbers are not closed under cube root

Step-by-step explanation:

The cube of each real number is increasing as the real numbers increases, giving a functional or one to one relationship. Therefore, the cube roots of real number have also a one to one relationship.

Given that a cube root of a number, ∛x = y therefore, y³ = x, we have that all real numbers, excluding zero, have one cube root, and two complex and conjugate roots

For the real number, 8, we have the cube roots given as follows;

∛8 = 2

Also, ∛8 = -1 + √3i and -1 - √3i

Given that not all cube roots of 8 are real numbers we have that real numbers are not closed under cube root.

Answer:

It is 42=x

Step-by-step explanation:

bruh

Answer:

3,6,15,17,21

I hope this is good enough:

Answer:

the answer is C

Answer:

(x, y, z) = (2, -1, 3)

Step-by-step explanation:

I solved it using the elimination method

Answer:

cool

Step-by-step explanation:

is this a question?

Answer:

venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go

The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.

According to what I heard :3

Hope This Helped! May I have Brainliest? <3

Answer:

yes you plug the numbers in

Answer: 3924.25

Step-by-step explanation:

0.0150x1000=15

0.0300x2000=60

0.0450x2000=90

0.0500x938520=46926

Add the numbers

47091÷12=3924.25

Additional work:

955520-12000=943520-1000=942520-2000=940520-2000=938520

His monthly paycheck for state income tax is $19,906.65.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Annual Gross pay = 955520

He is married with 4 dependents.

So, every month he earn

= 955520/12

= 79,626.6

and, Also have 4 dependents

= 79,626.6 /4

= 19,906.65

Hence,  his monthly paycheck for state income tax is $19,906.65.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

The question is incomplete. Here is the complete question.

Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.

The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel than Theo's family?

a) 10 miles per hour

b) 15 miles per hour

c) 30 miles per hour

d) 65 miles per hour

Answer: b) 15 miles per hour

Step-by-step explanation: Speed is given by the change in distance per change in time or:

[tex]v=\frac{\Delta x}{\Delta t}[/tex]

For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is

[tex]v_{T}=\frac{200-0}{4-0}[/tex]

[tex]v_{T}=\frac{200}{4}[/tex]

[tex]v_{T}=[/tex] 50 mph

For Malcolm's family:

At t = 0: d = 65*0 = 0

At t = 4: d = 65*4

Then, Speed is:

[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]

[tex]v_{M}=\frac{65.4}{4}[/tex]

[tex]v_{M}=[/tex] 65 mph

Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo

Answer:

8/-5

Step-by-step explanation:

the equation for slope is y 2 - y 1/ x 2 - x 1 so your equation is -7 - (-11) / -6 - (-1) which simplifies to  8/ -5 and that is the slope.

6×11=66

66 square units

Answer:

52 square units

Step-by-step explanation:

First find the area of the whole box.

6*11=66

Then, find the area of the red box

2*7=14

Subtract the whole box from the red box to find the yellow box

66-14=52

Answer:

Hebrew National since the cost is only 0.73

Step-by-step explanation:

First we need to identify the cost of each hotdog for each brand. I'll go by in order.

Ball Park:

We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.

"Price/Hotdogs per package"

In order

6.95/8=0.86875 or 0.87

8.20/10=0.82

7.35/8=0.91875 or 0.92

17.50/24=0.7291666 or 0.73

Since we're dealing with currency we would most likely round it by the nearest hundredth so the true answer would be $0.87.

Use this formula that I made for this question for any other questions.

Answer:

c

Step-by-step explanation:

10+12=22

=22^2

=484

Answer:

I believe the answer is C or D.

Step-by-step explanation:

Answer: I did quick math and I got 9m^2pq√6

Hope this helps a bit

Answer:

What grade work is it? I don't really know what it says. Sorry, please can you type it out?

Step-by-step explanation:

Answer:

X is well i do not know but for the other person it says 3 times x = 8/2

Step-by-step explanation:

Answer:

24 would prefer CREST

6 woul NOT prefer Crest

Step-by-step explanation:

4:5=x:30

Using reflection concepts, it is found that the correct option is:

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

A similar problem is given at https://brainly.com/question/15196246

Answer:

b

Step-by-step explanation:

Answer:

C. 2 and 5

Step-by-step explanation:

Answer:4th one

Step-by-step explanation:I did it

Answer:

4

Step-by-step explanation: