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Ahat [919]
3 years ago
9

Note angles not necessarily drawn to scale

Mathematics
2 answers:
kondaur [170]3 years ago
7 0

Answer:

<h2>x = 90° - 30° = 60°</h2>

Step-by-step explanation:

Angles CGE and 30° are vertical angles.

Thus, Angle CGE is thus 30°.

Angle CGE and Angle x are complementary, so x = 90° - 30° = 60°

alekssr [168]3 years ago
4 0

Answer:

60

Step-by-step explanation:

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Bill and Sam go to a casino. They each have the same amour of money. After an hour bill had won $20 and Sam lost the same amount
Pachacha [2.7K]

Answer:

They each have $180 before they started.

Step-by-step explanation:

Let x represents the amount they each have before they started. Therefore, we have:

Amount with Bill after one hour = x + $20

Amount with Sam after one hour = x - $20

Amount with Bill after two hours = (x + $20) - (x + $20)(2 / 3)

Amount with Sam after two hours = (x - $20) + (x - $20)(2 / 3) = 4((x + $20) - (x + $20)(2 / 3)) ............... (1)

From equation (1), we can solve for x as follows:

(x - $20) + (x - $20)(2 / 3) = 4((x + $20) - (x + $20)(2 / 3))

(x - $20) + (x - $20)0.666666666666667= 4((x + $20) - (x + $20) 0.666666666666667)

x - $20 + 0.666666666666667x - $13.3333333333333= 4(x + $20 - 0.666666666666667x - $13.3333333333333)

x - $20 + 0.666666666666667x - $13.3333333333333= 4x + $80 - 2.66666666666667x - $ 53.3333333333332

Collecting the like terms, we have:

x + 0.666666666666667x - 4x + 2.66666666666667x = $80 - $53.3333333333332+ $20 + $13.3333333333333

(1 + 0.666666666666667- 4 + 2.66666666666667)x = $60

0.333333333333337x = $60

x = $60 / 0.333333333333337

x = $180

Therefore, they each have $180 before they started.

4 0
3 years ago
Jodi poured herself a cold soda that had an initial temperature of 40degreesF and immediately went outside to sunbathe where the
kozerog [31]

Answer:

58.75 degreeF

Step-by-step explanation:

The initial temperature of the Soda = 40degreeF

The temperature outside is steady at 99 degreeF

The temperature of the soda became 50 degreeF after 8 minutes

In 8 minutes, the Soda gained

(50 - 40)degreeF

= 10 degreeF

If the soda gains 10 degreeF in 8 minutes, in 1 minute, it will gain 10/8degreeF

Therefore in 7 minutes, the soda will gain (10/8)*7

= 70/8

= 8.75 degreeF

The expected temperature of soda after an additional 7 minutes = 50 + 8.75

= 58.75degreeF

5 0
3 years ago
to buy the green and blue bikes would cost 1500$. to buy the green and red bikes would cost 750$. to buy all three bikes would c
lianna [129]
1500+750+2000=4,250 the answer is 4,250

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The volume of a sphere is 5000 pi m 3 what is the surface area
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V = \frac{4}{3}\pi r^3&#10;\\ 5000\pi = \frac{4}{3} \pi r^3&#10;\\ 5000 = \frac{4}{3} r^3&#10;\\ \frac{3}{4} * 5000 = r^3&#10;\\ 3750 = r^3&#10;\\ r = 15.536&#10;\\ SA = 4 \pi r^2&#10;\\ SA = 4\pi (15.536)^2&#10;\\ SA = 3033.11
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3 years ago
What is 0.69¯¯¯¯ expressed as a fraction in simplest form? Enter your answer in the box.
Ghella [55]
I belive its 3.555 because i took a educational guess lol
6 0
3 years ago
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