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horsena [70]
3 years ago
11

Find the value of x in each case:

Mathematics
2 answers:
diamong [38]3 years ago
8 0

Answer:

Step-by-step explanation:

Sum of 3 angles of triangle= 180

147 + 4x + x = 180

147 +5x = 180

5x = 180 - 147

5x = 33

x = 33/5

x = 6•6 (Answer)

amid [387]3 years ago
6 0

Answer:

X = 11

Step-by-step explanation:

To solve this, we need to find all the angles within the triangle. We know one angle (f) is 33 degrees because 147 + f = 180 = f = 33. Next we need to set up two more formulas to solve for x:

4x + y = 180

x + y + 33 = 180 => x + y = 147

Next, we can isolate one of the variables in one of the formulas and plug it back into the other:

x + y = 147 => y = 147 - x

4x + y = 180 => 4x + 147 - x = 180 => 3x + 147 = 180 => 3x = 33 => x = 11

I hope this helps!

-TheBusinessMan

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Answer is 14

Step by step explanation

The amount is same so
64+8w=92+6w
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6 0
3 years ago
What is the sum of the first 51 consecutive odd positive integers?
Angelina_Jolie [31]
We call:

a_{n} as the set of <span>the first 51 consecutive odd positive integers, so:

</span>a_{n} = \{1, 3, 5, 7, 9...\}

Where:
a_{1} = 1
a_{2} = 3
a_{3} = 5
a_{4} = 7
a_{5} = 9
<span>and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

</span>a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}
<span>
Then:

</span>a_{n} = a_{1} + (n-1)d
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

</span>S_{k} = ( \frac{a_{1} +  a_{k}}{2}  ).k
<span>
Therefore, we need to find:
</span>a_{k} =  a_{51}  

Given that a_{1} = 1, then:

a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1

Thus:
a_{k} = a_{51} = 2(51)-1 = 101

Lastly:

S_{51} = ( \frac{1 + 101}{2} ).51 = 2601 

4 0
3 years ago
Please Help Quickly!!!
Sophie [7]

It's the value of \dfrac{\mathrm dy}{\mathrm dx} when x=1:

y=x^2\implies\dfrac{\mathrm dy}{\mathrm dx}=2x

When x=1, the derivative/slope is 2, so the answer is C.

5 0
3 years ago
At noon, a tank contained 5 cm of water. After several hours, it contained 4 cm of water. What is the percent decrease of water
Radda [10]

Answer:

the decrease percentage is 25%

6 0
3 years ago
What is the sum of 15 – 6i and –2 + 9i? 13 + 3i 17 + 3i 24 – 147i 24 + 147i
Delicious77 [7]

13 + 3i

15 - 6i - 2 + 9i  → Sum

collect like terms

(15 - 2) + ( - 6i + 9i) =13 + 3i


7 0
3 years ago
Read 2 more answers
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