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OverLord2011 [107]
3 years ago
10

Find the value of x ​

Mathematics
2 answers:
ser-zykov [4K]3 years ago
6 0

Answer:

x = 38°

Step-by-step explanation:

this is a four-sided polygon, so the sum of the interior angles measures 360 degrees; formula is (n - 2) · 180 where 'n' is the number of sides

add all four expressions and set equal to 360

5x - 33 + 5x + 13 = 360

10x - 20 = 360

10x = 380

x = 38

check by plugging 38 into each expression to make sure the total is 360

starting in upper left and moving clockwise, the angles are: 75°, 82°, 114°, 89°

Elodia [21]3 years ago
3 0
X is 38
hope it helped
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If f(x) is an exponential function where f(-1.5) 26 and
mariarad [96]

Answer:

f(10) = 1147.25

Step-by-step explanation:

Given

f(-1.5) = 26

f(5.5) = 7

Required

f(10)

An exponential function is represented as:

f(x) = ab^x

f(-1.5) = 26 impleies that:

26 = ab^{-1.5} --- (1)

f(5.5) = 7 implies that

7 = ab^{5.5} --- (2)

Divide (2) by (1)

26/7 = ab^{-1.5}/ab^{5.5}

3.71429 = b^{-1.5+5.5}

3.71429 = b^{4}

Take 4th root

b = 1.39

Substitute b = 1.39 in 26 = ab^{-1.5}

26 = a * 1.39^{-1.5}

26 = a * 0.6102

Solve for (a)

a = 26/0.6102

a = 42.61

f(10) is calculated as:

f(10) = ab^{10}

f(10) = 42.61 * 1.39^{10}

f(10) = 1147.25

3 0
3 years ago
Find the value of X, please explain!
Monica [59]
All four angles are exterior angles of the quadrilateral.

We know that the sum of exterior angles of any polygon is 360 ° .

So we can add together the four angles and solve for x:
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Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared pl
oee [108]
Your statemtent is incomplete.

I found the samestatment with the complete words: <span>Simplify completely quantity x squared minus 3 x minus 54 over quantity x squared minus 18 x plus 81 times quantity x squared plus 12 x plus </span>36 over x plus 6

Given that your goal is to learn an be able to solve any similar problem, I can teach you assuming that what I found is exactly what you need.

x^2 - 3x - 54            x^2 + 12x + 36
------------------    x   ---------------------
x^2 - 18x + 81              x + 6

factor x^2 - 3x - 54 => (x - 9)(x + 6)

factor x^2 - 18x + 81 => (x - 9)^2

factor x^2 + 12x + 36 = (x + 6)^2

Now replace the polynomials with the factors=>

(x - 9) (x + 6) (x + 6)^2        (x + 6)^2       x^2 + 12x + 36
------------------------------ =  --------------- = --------------------
    (x - 9)^2 (x + 6)                 (x - 9)               x - 9

4 0
4 years ago
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3 would be your answer

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