Use the image to the right to answer the questions:
a. What theorems would/could you use to find x?
b. Find the value of x.
Thank you so much in advance! :)

Answer:

x = 3.53    ( this may not be the exact number because my factoring is rusty)

Step-by-step explanation:

7x/(7x + 3) = (20x - 4)/(22x - 2)

7x(22x - 2) = (20x - 4)(7x + 3)

154x² - 14x = 140x² + 60x -28x -12

combine like terms & reduce:

14x² -46x - 12 = 0

divide by 2 to simplify:

7x² - 23x - 6 = 0

factor:

(7x + 1.7)(x - 3.53) = 0

x = 3.53

sorry i gave a bad answer

m=2 → y = 2x + b →(1,1)→ 1= 2(1) + b → b= 1-2 = -1

y = 2x - 1

The person below me is true

You can substitute a = 2ˣ and b = 5ʸ to make both equations linear.

The first equation becomes

a - b = 3

In the second equation, first simplify the exponents:

2ˣ ⁻³ = 2ˣ × 2⁻³ = 1/8 × 2ˣ

5ʸ ⁻² = 5ʸ × 5⁻² = 1/25 × 5ʸ

so the second equation changes to

a/8 + b/25 = 21

Multiply both sides of this by 200 (the LCM of 8 and 25) to eliminate the fractions:

25a + 8b = 4200

Multiply both sides of the first equation by 8, then add the corresponding sides of both equations. This eliminates b and you can solve for a :

8 (a - b) + (25a + 8b) = 8 (3) + 4200

(8a - 8b) + (25a + 8b) = 24 + 4200

33a = 4224

a = 128

Plug this into the first equation to solve for b :

128 - b = 3

b = 125

Now solve for x and y. Notice that

128 = 2⁷

and

125 = 5³

so it follows that x = 7 and y = 3.

Alternatively, you can use logarithms. For example,

a = 2ˣ   →   log₂(a) = log₂(2ˣ )   →   x = log₂(128) = 7

Answer:

4.40

Step-by-step explanation:

20% of 22.00 is 4.40

Answer:

D. 13.02

Step-by-step explanation:

Apply trigonometric function to find the height (h) of the wall.

Reference angle = 40°

Hypotenuse = 17 ft

Adjacent = h (height of the wall)

Apply CAH:

Cos 40 = Adj/Hyp

Cos 40 = h/17

17*Cos 40 = h

13.0227555 = h

h ≈ 13.02 ft

Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

Answer:

30.9 assuming the shaded area are the corner areas of the square not occupied by the circle

Step-by-step explanation:

solve for the area of the square by using the diameter of the circle area of the square=144 then solve for the area of the circle using the radius circle=113.1 the subtract from each other which would equal 30.9

Answer:

17.....

....................

Answer:

6

Step-by-step explanation:

Answer:

AN*(B\C)=(ANB)\C=>ANB/C=ANB/C

Answer:

It's true but I don't know if my proof is technical enough for you.

Step-by-step explanation:

Multiplication and division of numbers can happen in any order.

im guessing its about $10

Answer:

your answer is c

Step-by-step explanation:

Answer:

[tex]\theta =135[/tex]

Step-by-step explanation:

Required

Interior of a regular octagon

This is calculated using:

[tex]\theta =\frac{180(n-2)}{n}[/tex]

Where

[tex]n = 8[/tex]

So:

[tex]\theta =\frac{180(8-2)}{8}[/tex]

[tex]\theta =\frac{180*6}{8}[/tex]

[tex]\theta =135[/tex]

Answer:

Width of rectangle = 4 meter

Length of rectangle = 18 meter

Step-by-step explanation:

Given:

Perimeter of rectangle = 44 m

Assume;

Width of rectangle = a

Length of rectangle = 2a + 10

Find:

Length and width

Computation:

Perimeter of rectangle = 2[l + b]

2[a + 2a + 10] = 44

3a + 10 = 22

3a = 12

a = 4

So,

Width of rectangle = a = 4 meter

Length of rectangle = 2a + 10 = 18 meter

Answer:

Step-by-step explanation:

b = 75°

a = 180° - 2(75°) = 30°

Angle XYZ = 180°-b = 105°

c = b - 35° = 40°

Answer:

5 2/3

Step-by-step explanation:

Answer:

$12.65

Step-by-step explanation:

i caculated that

Answer: 204

Step-by-step explanation:

As there are 6 lots of 10 minutes in an hour, you would have to times 34 by 6.

34x6=204

Hope this helps :)

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book

Step-by-step explanation:

Answer:

Triangle a: 44.7°

Triangle b: 30.5°

Triangle c: 67.4°

Triangle d: 56.6°

Step-by-step explanation:

Recall: SOHCAHTOA

a. Reference angle = [tex] \theta [/tex]

Opposite = 19

Hypotenuse = 27

Apply SOH:

[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]

[tex] sin(\theta) = \frac{19}{27} [/tex]

[tex] \theta = sin^{-1}(\frac{19}{27}) [/tex]

[tex] \theta = 44.7 degrees [/tex] (nearest tenth)

b. Reference angle = [tex] \theta [/tex]

Opposite = 33

Adjacent = 56

Apply TOA:

[tex] tan(\theta) = \frac{Opp}{Adj} [/tex]

[tex] tan(\theta) = \frac{33}{56} [/tex]

[tex] \theta = tan^{-1}(\frac{33}{56}) [/tex]

[tex] \theta = 30.5 degrees [/tex] (nearest tenth)

c. Reference angle = [tex] \theta [/tex]

Opposite = 12

Adjacent = 5

Apply TOA:

[tex] tan(\theta) = \frac{Opp}{Adj} [/tex]

[tex] tan(\theta) = \frac{12}{5} [/tex]

[tex] \theta = tan^{-1}(\frac{12}{5}) [/tex]

[tex] \theta = 67.4 degrees [/tex] (nearest tenth)

d. Reference angle = [tex] \theta [/tex]

Hypotenuse = 20

Adjacent = 11

Apply CAH:

[tex] cos(\theta) = \frac{Adj}{Hyp} [/tex]

[tex] cos(\theta) = \frac{11}{20} [/tex]

[tex] \theta = cos^{-1}(\frac{11}{20}) [/tex]

[tex] \theta = 56.6 degrees [/tex] (nearest tenth)

Answer:

A: 9 seconds

B: 144 ft.

Step-by-step explanation:

A:

Let t = no. of seconds for them to meet

When they meet the sum of their distances is 270 ft, dist = rate * time

16t + 14t = 270

30t = 270

t = 270/30

t = 9 seconds

B:

He ran 9 sec at 16 ft/sec, therefore:

9 * 16 = 144 ft

Answer:

Not sure ,but the answer might be 16 .

Answer:

F or H

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2*2 =4, so if this were true 4*2 would equal 6. Since it doesn't, the answer is false.

I hope this helps :)

Answer:

Fantasy 40     biography 15

Step-by-step explanation:

2/3  =8/12  =  40/60

1/4 = 3/12 = 15/60

Answer:

13x=4   :-)  !!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

1-) -2 + 7x + 2 = 2 + 6x + 2

2-) 7x = 6x + 4

3-) 7x - 6x = 6x + 4- 6x

4-) X= 4