Solution:
1/3+3 1/3
1/3+10/3
Answer: 11/3 simplified form 3 2/3
Answer:
The answer to your question is: 85°
Step-by-step explanation:
Data
m∠ xyz = 2m∠x - 9
m∠w = 38°
Process
∠x = (∠xyz + 9) / 2
∠ y = 180 - ∠xyz
∠w + ∠y + ∠x = 180
Substitution 38 + (180 - ∠xyz) + (∠xyz + 9) / 2 = 180
76 + 360 - 2∠xyz + ∠xyz + 9 = 360
Simplify
85 - 2∠xyz + ∠xyz = 0
85 = ∠ xyz
Answer:
70/9
Step-by-step explanation:
9x-81 = -11 *distribute the 9
9x = 70 *add 81 to the other side - isolate the x
x = 70/9
There is 2 ways to solve this type of question.
Method 1
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Formula
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a² + b² = c²
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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°
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Property of the Angles
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x - x - x√2
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Find hypotenuse
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Given that the non-hypotenuse is 7√2
Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm
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Ans: The diagonal length is 14cm
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