Triangle CDF is similar to triangle EGF

(ACDF ~ AEGF). What is the value of x?

A. 15

B.11

C. 9

D. 6

Answer:

Perimeter of ABCD = 56 units

Perimeter of WXYZ = 140 units

Step-by-step explanation:

To find the perimeter of ABCD, find the sum of all sides

18 + 18 + 10 + 10 = 56

To find the side lengths of WXYZ, use the equation:   [tex]\frac{image}{pre-image}[/tex]

45/18 = 2.5

You can also cross multiply to find the missing side lengths, but I'll show you this other way...

Multiply the pre-image side lengths by 2.5

18 × 2.5 = 45

10 × 2.5 = 25

45 and 25 of the new side length of WXYZ

To find the perimeter of  WXYZ, find the sum of all sides.

45 + 45 + 25 + 25 = 140

WX = 45, XY = 25, YZ = 45, ZW = 25

Answer: 1/8

Step-by-step explanation: The sample space are all of the different outcomes an event can lead to. The H and T combinations at the bottom are all of the different outcomes. I think the probability of getting 3 tails for the coins (or TTT) is 1/8. This is because there are 24 total outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). There is 3/24 TTTs (also, 1/8 if you count the groups/simplify). Therefore, it is 1/8. Hope this helps!

Answer:

5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Tanx= b/c

Sinx=b/a

Coax=c/a

Step-by-step explanation:

Answer:

a. 1.5

b. 0.2

c -1.9

Step-by-step explanation:

The computation of the z scores of each of the following data values are as follows:

As we know that

z = (data values - mean)÷ standard deviation

Now

a. The z value is

= (40 - 25) ÷ (10)

=  1.5

b. The z value is

= (27 - 25) ÷ 10

= 0.2

c. The z value is

= (6 - 25) ÷ 10

= -1.9

Answer:

hello

the answer is 1

Answer:

1

Step-by-step explanation:

Answer: A

Step-by-step explanation:

-120 is how many people leave a year so multiply that by the 3 years it’s been happening then it’s A, 360 left in the past 3 years

..........the answer is B

Answer:

Savings= $236

Step-by-step explanation:

Giving the following information:

Money spent= $59

Proportion of savings= 25% = 0.25

To calculate the total savings before shopping, we need to use the following formula:

Savings= money spent / proportion of savings

Savings= 59 / 0.25

Savings= $236

Answer:

3.35

Step-by-step explanation:

Answer:

3.37

Step-by-step explanation:

Answer:

5^43

Step-by-step explanation:

[5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]² =

= [5² . 5² . 5³. 5³ . (5³)³ ]³ : [(5²)² . 5² . 5]²

= [5² . 5² . 5³. 5³ . 5^9 ]³ : [5^4 . 5² . 5]²

= [5^19]³ : [5^7]²

= 5^57 : 5^14

= 5^43

Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20.  Dividing the width (x - 4) into the area results in an expression for the length:

x - 4  /   x^2 + x - 20

Let's use synthetic division here.  It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4   /   1    1    -20

              4     20

    --------------------

         1     5     0

This synthetic division results in a remainder of 0.  This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor.  From the coefficients 1 and 5 we can construct the other factor:  (x - 5).  This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

120° because opposite angles of parm are equal

Answer:

Both of them would be D!

Step-by-step explanation:

Hope this helps, sorry if I am wrong.

Step-by-step explanation:

GCF: greatest common factor of any two (or more) numbers

Top left:

GCF of 4, 10, 14: 2

Top right:

GCF of 14, 35, 84: 7

Bottom left:

GCF of 9, 18, 42: 3

Right left:

GCF of 8, 32: 8

Answer:

1/p⁵

Step-by-step explanation:

Answer:

(2,-7)

Step-by-step explanation:

Plug the first equation into the second equation.

4x+3(2x-11)=-13

4x+6x-33=-13

10x=20

x=2

Now, plug the value of x into one of the equations in order to find y.

y=2(2)-11

y=4-11

y=-7

Answer:

60 students-530 Question 1.

Step-by-step explanation:

Answer:About "Identify the terms and coefficients" Identify the terms and coefficients : A single variable or a constant or a combination of these as a product or quotient forms a term.

Step-by-step explanation:

Answer:

I think you forgot to put the picture

Step-by-step explanation:

but try this:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Answer:

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

n is an odd integer, let n = 2m + 1

Then

Answer:

261 km

Step-by-step explanation:

given,s=constant

d1/T1=d2/T2

d1=90km,t1=50 min

d2=? ,t2=(120+25)min

=145min

therefore,d2=(90×145)/50

=261 km

Answer:

The equations which have only one solution is: 5x²+20x+20=0,

Step-by-step explanation:

Answer:

5x^2 + 20x + 20 = 0

12+ 6x +9= 0​

Step-by-step explanation:

5x^2 + 20x + 20 = 0  /5             12 + 6x + 9 = 0        

x^2 + 4x + 4 = 0                          6x = -9-12

(x+2)^2=0                                    6x = -21

x + 2 = 0                                      x = -21/6

x=-2                                             x = -3.5

Answer:

m= −2 /7

Step-by-step explanation:

Let's solve your equation step-by-step.

6m+1m=−2

Step 1: Simplify both sides of the equation.

6m+1m=−2

6m+m=−2

(6m+m)=−2(Combine Like Terms)

7m=−2

7m=−2

Step 2: Divide both sides by 7.

7m /7 = −2 /7

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex](2)^{3x}[/tex] = [tex]2^{3x}[/tex] and 8 = (2³ )² = [tex]2^{6}[/tex] , so

[tex]2^{3x}[/tex] = [tex]2^{6}[/tex]

Since the bases on both sides are equal, both 2, equate the exponents

3x = 6 ( divide both sides by 3 )

x = 2

Answer:

2^4 = 16miles

2^8 = 256hrs

Step-by-step explanation:

16*256=4096

2^12=4096

so you answer is 2^12