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Vika [28.1K]
3 years ago
11

What is the value of x in the problem ?

Mathematics
1 answer:
Elis [28]3 years ago
4 0

Answer:

The x angle is 112 degrees

Step-by-step explanation:

<u>Step 1:  Find the adjacent angle to 134 </u>

134 + w = 180

w + 134 - 134 = 180 - 134

w = 46

<u>Step 2:  Find the last angle inside the triangle </u>

46 + 22 + x = 180

68 + x = 180

x + 68 - 68 = 180 - 68

x = 112

Answer:  The x angle is 112 degrees

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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
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Answer:

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Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


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