Which of the given line segments is congruent to AB?

Answer:

A

Step-by-step explanation:

maybe i am sure don't depend on me

Answer:

Step-by-step explanation:

Pool:

Width = x ft

Length = (x+6) ft

Pool along with walkway:

Width = x + 5 + 5 = (x + 10) ft

Length = x + 6 + 5 + 5 = (x + 16) ft

Total area of the pool with walkway = 950 sq.ft

length * width = 950

(x+16) * (x + 10) = 950

Use FOIL method,

x*x + x *10 + 16*x + 16 *10 = 950

x² + 10x + 16x + 160 -950 = 0   {Add like terms}

x² + 26x - 790 = 0

Answer:

29.4 length and 21.4 width.

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that W is the width and L the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total

Answer:

(1, -5) is the solution of the system

Step-by-step explanation:

y = negative 7 x + 2 should be written as  y = -7x + 2, and

y = 9 x minus 14 as y = 9x - 14

Use elimination by substitution to solve this system.  Equate the two equations together to eliminate y:  y = 9x - 14 = -7x + 2.

Combining like terms, we get 9x - 14 = -7x + 2  =>  16x = 16

Dividing both sides by 16 yields x = 1.

Substituting 1 for x in the first equation yields the corresponding y-value:

y = -7(1) + 2 = -5

Thus, the ordered pair (1, -5) is the solution of the system.

Answer:

It's B

Step-by-step explanation:

Answer:

y-6= -2(x+2)  

Step-by-step explanation:

A= (-2, 6)

B= (2, -2)

y= mx+b

slope:

intercept:

the function is:

y-2=2(x+2) ⇒ y= 2x+6 - no

y-6= -2(x+2) ⇒ y= -2x +2 - yes

y-2= -2(x+6) ⇒ y= -2x - 10- no

y-2= -2(x+2) ⇒ y= -2x- 2 - no

Answer:

Step-by-step explanation:

if DF=20, then:

4x+8+2x-2=20

6x+6=20

6x=14

x=14/6

x=7/3

then

DE=4x+8

DE=4(7/3)+8

DE=(28/3)+24/3

DE=52/3

And

EF=2x-2

EF=2(7/3)-2

EF=14/3-6/3

EF=8/3

Answer:

y = -3/2 x + 5/2

Step-by-step explanation:

3x + 2y = 5

2y = 5 - 3x

y = -3/2 x + 5/2

Answer:

y= -3/2x+5/2

Step-by-step explanation:

3x + 2y = 5

2y= 5- 3x

y= 5/2 - 3/2x

y= -3/2x+5/2

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

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Answer:

21.7

Step-by-step explanation:

you add all along the shape and it adds up to 21 and 21.7 is the only answer that has 21 in it

hope this helps.

Answer:

6 Fancy shirts

Step-by-step explanation:

Answer:

The true mean volume of p

aint in each can is greater than or equals to 400ml

Step-by-step explanation:

The symbol of μ represents the mean of a data.

Mean can be defined as the average value of a set of data

Let consider the question.

We know that

μ ≥ 400ml

Where the sign ≥ means "greater than or equals to"

Which means that μ is greater than or equals to 400ml

So the solution is:

1st blank = greater than

2nd blank = equals to

Answer:

14.1 I think

Step-by-step explanation:

Answer:14.1

Step-by-step explanation:

Answer:

51/12

as a mixed number

4 1/4

Step-by-step explanation:

first you add 8 to 4 which is 12

so the improper fraction would be 51/12

how to turn it in to a mixed number in simplest form

step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:

51 / 12 = 4.2500 = 4

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

51 - (12 x 4) = 3

Step 3 - Put Together

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

4  

   3  

   12  

Step 4 - Minimize

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:

4  

   1  

   4  

Answer:

Number 2 obtuse

Step-by-step explanation:

Answer:

∠COB is obtuse angle

Explanation:

I attached an image showing how to tell the difference between an acute, obtuse, right, and straight angle.

We can clearly see, just by looking at the image. ∠COB is an obtuse angle

Answer:

the answer to the following questions is 10870.46873

Answer:

Wetlands prevent flooding by temporarily storing and slowly releasing stormwater.

Step-by-step explanation:

Wetlands also reduce water flow, thus allowing sediments and associated pollutants to settle out. A marshland can prevent flooding in a nearby town bye temporarily storing water!

Answer:

-1 -60p

hope it helps

Step-by-step explanation:

6 (1-10p) -7

First solve 6(1-10p) using distributive property of subtraction

(6*1)-(6*10p) -7

= 6-60p -7

Add the constants of the equation

= (6-7) -60p

= -1 - 60p

Answer:

-60p-1

Step-by-step explanation:

Well in simplyfying it we can determine that 6*1 is 6 and 6*-10p is -60p

So then the answer is -60p-1.

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

basically write the triangle in degree language like this is a acute angle because this is a 70* degree angle and talk more

Answer:

D i think

Step-by-step explanation:

Answer:

The elevation is a nonlinear function.

Step-by-step explanation:

Answer:

It's (B) The elevation is a nonlinear function.

Step-by-step explanation:

Add 1 to both sides of the equation to get 4x = 4.

Divide both sides by 4 and x = 1.

Answer:

x= 1

Step-by-step explanation:

4x-1=3

    +1 +1

4x=4 (divide both sides by 4 to get x alone)

x=1

Step-by-step explanation:

if you have a whole number and fraction you can simply at them together, which results in what's called mixed number .

example : the mixed number 8 3/4 is understood to mean the same thing as

8 + 3/4.

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

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Answer:

C) The triangles are not similar

Step-by-step explanation:

There are 3 triangle similarity theorems:

We can find the all the angles of both triangles, so we can determine the similarity of these triangles only by first theorem

Angles of ΔQRS:

<Q = 63°

<R = 90°

<S = 180°-63°-90° = 27°

Angles of ΔTUV:

<T=180°-90°-25° = 65°

<U = 90°

<V = 25°

As none of the angles are same, triangles are not similar.

Answer:

The unknown number is 1.

Step-by-step explanation:

You have to form an expression. So let's make the unknown number as x. Firstly, a number is multiplied by 5 :

[tex]x \times 5[/tex]

[tex] = 5x[/tex]

Secondly, 5 is added to product and you will get 10 :

[tex]5x + 5 = 10[/tex]

Lastly, you have to solve :

[tex]5x + 5 = 10[/tex]

[tex]5x = 10 - 5[/tex]

[tex]5x = 5[/tex]

[tex]x = 5 \div 5[/tex]

[tex]x = 1[/tex]

Answer:

2

Step-by-step explanation:

if you divide

10 by 5

you get two

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.