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alex41 [277]
3 years ago
5

The figure below shows a straight line AB intersected by another straight line t:

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

As ∠1 and ∠4 makes straight line t so their sum should be equal to 180°

∠1 + ∠4 = 180° (makes pair of supplementary angles)------------------------(1)

Similarly ∠3 and ∠4 makes straight line AB so their sum should also be equal to 180°

∠3 + ∠4 = 180° (makes pair of supplementary angles)------------------------(2)

From equations (1) and (2) we get

∠1 + ∠4 = ∠3 + ∠4 (as both were equal to 180°)

subtracting ∠4 from both sides we get

∠1 + ∠4 - ∠4 = ∠3 + ∠4 -∠4

∠1 = ∠3

Hence, proved that verticaly opposite angles ∠1 and ∠3 are equal

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Si mi disco duro tiene una capacidad de 1.5 Terabytes ¿ cuántas llaves de 32 Gigabits caben en ese disco duro?
Art [367]

Answer:

The number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Step-by-step explanation:

The question is:

If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?

Solution:

1 Terabyte = 8000 Gigabits

Then 1.5 Terabytes in Gigabits is:

1.5 Terabytes = (8000 × 1.5) Gigabits

                      = 12000 Gigabits

One key is of 32 Gigabits.

Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:

\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375

Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.

4 0
4 years ago
There are 60 bottles of juice in the grocery store of these 24 are apple what percent of the bottles are apple
Elena L [17]

Answer:

%2.5

Step-by-step explanation:

8 0
3 years ago
Surface area of cylinder
Vlad1618 [11]

Answer:

75.40 cm²

Step-by-step explanation:

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SA = 75.40 cm²

3 0
3 years ago
What is the best estimate of the value of ln 16?
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Step-by-step explanation:

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4 0
3 years ago
Need help with question 13B i can not figure it out please help.
Vsevolod [243]
Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤  60

The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤  60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤  60     Combine the tax, tip, scone and Lattes 

(1.17) * (4.5x + 3) ≤ 60                            Divide by 1.17
4.5x + 3 ≤ 60 / 1.17 
4.5x + 3 ≤ 51.28                                      Subtract 3
4.5x ≤ 48.28                                            Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72 

Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer.. 

Answer: 10 <<<<
7 0
3 years ago
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