2 years ago

Plz help me with this

Mathematics

1 answer:

Softa [21]2 years ago

7 0

Answer: b) 8√2

<u>Step-by-step explanation:</u>

$64^{\frac{7}{12}}=(2^6)^\frac{7}{12}=2^\frac{6\cdot 7}{12}=2^{\frac{7}{2}}=\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}=2\cdot 2\cdot 2\sqrt2=\large\boxed{8\sqrt2}$

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Step-by-step explanation:

<u>Similar Triangles</u>

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

$m\angle P + m\angle Q + m\angle R = 180^\circ$

Substituting the known values:

$40^\circ + 35^\circ + m\angle R = 180^\circ$

Solving for R:

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