What is the degree of angle o?
2 answers:
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Answer:
x = 5
Step-by-step explanation:
Since ∠P ≅ ∠P and ∠PST≅ ∠PRQ (corresponding angles are congruent when the lines are parallel), ΔPST is similar to ΔPRQ by the AA postulate
Therefore, corresponding sides are in proportion.
PS ↔ PR and ST ↔ RQ
Note: PR = PS + SR = x + 7 + x - 1 = 2x + 6
8(x + 7) = 6(2x + 6)
8x+56 = 12x + 36
4x = 20
x = 5
we know that
A perfect cube is a whole number which is the cube of another whole number or a number is a perfect cube if the cube root of that number is a whole number.
so
<u>case a)</u>
the cube root of is not a whole number
therefore
<em><u>The expression is not a perfect cube</u></em>
<u>case b)</u>
the cube root of is not a whole number
the cube root of is not a whole number
therefore
<em><u>The expression is not a perfect cube</u></em>
<u>case c)</u>
therefore
<em><u>The expression is a perfect cube</u></em>
<u>case d)</u>
the cube root of is not a whole number
therefore
<em><u>The expression is not a perfect cube</u></em>
<u>the answer is</u>