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Trava [24]
3 years ago
13

Help!! This doesn't make any sense to me. Can anyone help me solve for the value of x?

Mathematics
1 answer:
notsponge [240]3 years ago
6 0
<em>Exterior angle of the triangle is equal to the sum of the opposite angles.</em>

9x = 5x + 9 + x

<em>Combine like terms:</em>
9x = 6x + 9

<em>Take away 6x from both sides:</em>
3x = 9

<em>Divide by 3 on both sides:</em>
x = 3

Answer: x = 3
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Choose all situations that correctly state the ratio. A neighborhood has 27 cats and 12 dogs. The ratio of cats to dogs in the n
Anastaziya [24]

Answer:  The answers are given below.


Step-by-step explanation: All the given situations are -

* * * A neighbourhood has 27 cats and 12 dogs. So, the ratio of cats to dogs is

= 27 : 12 = 9 : 4. That is, for every 9 cats, there are 4 dogs.

Thus, the situation correctly states the ratio.

* * *  In a class of 30 students, there are 16 boys and 14 girls. So, the ratio of girls to boys is = 14  : 16 = 7 : 8, because there are 7 girls for every 8 boys.

Thus, the situation does not state the ratio correctly.

* * * The won-lost ratio for a baseball team is 36 : 18 = 2 : 1. That is, the team won 2 games for each game lost.

Thus, the ratio does not state the situation correctly.

* * * The number of horses in a kingdom is 100, and the number of knights is 50. The ratio of knights to horses is = 50 : 100 = 1 :2. That is, There is one knight for every two horses.

Thus, the ratio states the situation correctly.

* * * Fifty-two out of the 88 keys on a piano are white, so ratio of white to black piano is = 52 : (88-52) = 52 : 36 = 13 : 9. That is, for every 13 white keys, there are 9 black keys.

Thus, the ratio does not state the situation correctly.

Hence, all are done.

3 0
4 years ago
The pitch of a musical note varies inversely as its wavelength. If a tone has a pitch of 440 vibrations per second and a wavelen
ExtremeBDS [4]

Answer:

660 vibrations

Step-by-step explanation:

sorry if im wrong and have a wonderful day!!!

:)

8 0
3 years ago
Change £400 to Australian dollars
Liono4ka [1.6K]
Hey there!

400 British Pound equals683.67 Australian Dollar


I hope this helps!
8 0
3 years ago
40 POINTS AND BRAINLIEST!! Solve for x in the following equations..
wolverine [178]

Answer:

a) x = 3

b) x = 10

c) x = 28

Explanation:

a)

\sf 6x + 3 = 21

collect term

\sf 6x  = 21-3

simplify

\sf 6x  = 18

divide both both sides by 6

\sf x = 3

b)

\sf 15(x - 5) = 75

distribute

\sf 15x - 75 = 75

collect terms

\sf 15x  = 75 + 75

combine

\sf 15x  = 150

divide both sides by 15

\sf  x = 10

c)

\sf \frac{3}{4} x +5 = 26

collect like terms

\sf \frac{3}{4} x  = 26-5

combine

\sf \frac{3}{4} x  = 21

cross multiply

\sf x = \frac{ 21 (4)}{3}

simplify

\sf x =28

6 0
2 years ago
A plan traveled 324 miles each way to Austin and back. The trip there was with the wind. It took 3 hours. The trip back was into
sleet_krkn [62]

Answer: the speed of the plane in still air is 81 mph.

the speed of the wind is 27 mph.

Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

The trip there was with the wind. It means that total speed at which the plane travelled with the wind is

(x + y) mph.

It took 3 hours and the distance travelled was 324 miles.

Distance = speed × time

Distance travelled with the wind is

324 = 3(x + y)

Dividing both sides of the equation by 3, it becomes

108 = x + y-- - - - - - - - -1

The trip back was into the wind. It means that total speed at which the plane travelled into the wind is

(x - y) mph.

It took 6 hours and the distance travelled was also 324 miles.

Distance travelled into the wind is

324 = 6(x - y)

Dividing both sides of the equation by 6, it becomes

54 = x - y-- - - - - - - - -2

Adding equation 1 to equation 2, it becomes

162 = 2x

x = 162/2

x = 81

Substituting x = 81 into equation 1, it becomes

108 = 81 + y

y = 108 - 81

y = 27

6 0
3 years ago
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