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Stella [2.4K]
3 years ago
14

What is the rule input numbers are 17 18 _ 28_40

Mathematics
1 answer:
Lelu [443]3 years ago
4 0
19 27 28 29 30 315 64 29 46 is the 
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What is the value of x?
adelina 88 [10]

This is an equilateral triangle, which is a triangle that has 3 congruent/equal sides and 3 congruent angles.


To find "x", you can set the sides equal to each other because they are suppose to be the same length (you can just do two sides because all of the sides are the same)

[Side AB = Side BC]

4x - 10 = 3x + 2     Subtract 3x on both sides

x - 10 = 2         Add 10 on both sides

x = 12


[proof]

Side AB:

4x - 10    Plug in 12 for x

4(12) - 10 = 48 - 10 = 38


Side BC:

3x + 2     Plug in 12 for x

3(12) + 2 = 36 + 2 = 38


Side AC:

5x - 22      Plug in 12 for x

5(12) - 22 = 60 - 22 = 38




This is also an equilateral triangle (the tick marks show that the sides are the same)

A triangle is 180°. So the three angles add up to 180°.

Since this is an equilateral triangle, all the angles should be the same.

Each angle is 60°

[60° + 60° + 60° = 180°   or you could have divided 180 by 3 = 60]


Now that you know each angle is 60°, you can do:

(2x - 4)° = 60°

2x - 4 = 60    Add 4 on both sides

2x = 64    Divide 2 on both sides

x = 32


4 0
2 years ago
Banabas must pay his ex-wife an amount of R350 000 in two years’ time. Calculate the amount that he must invest today to have th
White raven [17]

Answer:

He must invest R297 521 today.

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Banabas must pay his ex-wife an amount of R350 000 in two years’ time.

This means that t = 2, A(t) = 350000

Interest rate of 8.15% per annum compounded monthly:

This means that r = 0.0815, n = 12.

Amount he must invest today:

This is P. So

A(t) = P(1 + \frac{r}{n})^{nt}

350000= P(1 + \frac{0.0815}{12})^{2*12}

P = \frac{350000}{(1 + \frac{0.0815}{12})^{2*12}}

P = 297521

He must invest R297 521 today.

4 0
2 years ago
Can someone help me solve this??
vodka [1.7K]

Answer:

50

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write an expression to represent multiplying the sum of 8 and 2 by 6.
eimsori [14]

Answer:

6 (8 + 2)

The sum means addition.  Add 8 and 2.  Multiply that entire thing by 6.

5 0
3 years ago
Consider the sequence 100, 95, 90, 85, 80, 75 ...<br> What is the value of f(8)?
MAVERICK [17]

Answer:

f(8) = 65

Step-by-step explanation:

Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).

To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.

• 100 - 95 = 5

• 95 - 90 = 5

• 90 - 85 = 5

• 85 - 80 = 5

• 80 - 75 = 5

Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.

To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.

• f(1) = 100

• f(2) = 95

• f(3) = 90

     ......

• f(7) = 70

• f(8) = 65

5 0
2 years ago
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