Evaluate: -0.7 - (-2.6 + -0.8) + 7.1

Mathematics

1 answer:

SpyIntel [72]4 years ago

3 0

Answer:

8.36

Step-by-step explanation:

$-0.7-(-2.6+ -0.8) +7.1\\ (add inside the parenthesis)\\\\-0.7 - 3.4 + 7.1\\\\=8.36$

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point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure

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Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

$\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}$