8. In rectangle ABCD, the length of AC – 20 units and BD = 8 units. In rectangle EFGH, the

A. x = 2, y =6<br> B. x = 2, y =3<br> C. x =-2, y =3<br> D. x = -3, y =2

AlekseyPX

Answer:

The correct answer is A) x = 2 and y = 6

Step-by-step explanation:

In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.

y - 1 = x + 3

y = x + 4

Now we can do the same with the leg lengths.

y - 3 = 2x - 1

y = 2x + 2

Now that we have two equations, we can set them equal to each other to get the x value.

x + 4 = 2x + 2

4 = x + 2

2 = x

Now that we have x, we can plug it into any equation to get the y value.

y = x + 4

y = 2 + 4

y = 6

5 0

4 years ago

Read 2 more answers

A family of 2 adults and 4 children is going to an amusement park. Admission is a 21 point 75 for adults and 15 point 25 for chi

Juliette [100K]

Answer:

Step-by-step explanation:

The number of adults in the family that is going to the amusement park is 2.

The number of children in the family that is going to the amusement park is 4.

Admission is a 21 point 75 for adults and 15 point 25 for children. This means that the admission cost for each adult is 21.75 and the admission cost for each adult is 15.25. Therefore,

The total cost of admission for the 2 adults would be

21.75 × 2 = 43.5

The total cost of admission for the 4 children would be

15.25 × 4 = 61

Therefore, the total cost of the families admission would be

43.5 + 61 = 104.5

7 0

3 years ago

Help me llliad plz neeeeeeed help

Lapatulllka [165]

Lets get started :)

Diameter = 2.5 ft
Radius = $\frac{diameter}{2} = \frac{2.5}{2} = 1.25$

a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information

C = 2 $\pi$ (1.25) or 2.5 $\pi$
≈ 7.85 ft
(we can leave the answer in terms of pi { $\pi$ })

b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll

$\frac{5280}{circumference} = \frac{5280}{2.5 \pi }$
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5 $\pi$ instead of 7.85, to increase accuracy)

672.2

The tire will rotate 672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile

7 0

3 years ago

7b squared -21b-273=7

guajiro [1.7K]

Answer:

Given 7b²-21b-273=7, the solutions are x1 = 8 and x2 = -5.

Step-by-step explanation:

Given 7b²-21b-273=7, first you need to equal zero. So

7b²-21b-273-7=0 ⇒ 7b²-21b-280 = 0

The secon step is to find the solutions applying Bhaskara´s formula x = (-b ± √(b²-4×a×c))/2×a

Where a=7, b= -21 and c= -280

After you identified each term, you have to replace it on the formula so....

x = (21 ± √(21² - 4×7×(-280)))/2×7 ⇒ x = (21 ± √(441 + 7840))/14 ⇒ x = (21 ± √8281)/14

Then you will obtain two values for x, called x1 = 8 and x2=-5.

8 0

4 years ago

Read 2 more answers

The city of Oakland is experiencing a movement of its population to the suburbs. At present 85% of the total population lives in

Oxana [17]

Answer:

A. $\left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]$

B. (0.85 0.15)

C. 79.2% population in the city while 20.8% population in the suburb

Step-by-step explanation:

(a) The transition matrix for the information is

C S

$\left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]$

(b) the probability vector for the information is

$(\frac{85}{100} \ \ \frac{15}{100} )$

and this gives us

(0.85 0.15)

(c) we simply multiply the above two matrices to find the percent of the population can be expected to be in each category after one year after

$\left[\begin{array}{cc}0.85&0.15\end{array}\right] \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right] = \left[\begin{array}{cc}0.792&0.208&\end{array}\right]$

in the city there are 79.2% while in the suburb, there are 20.8%

5 0

3 years ago