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3 years ago

M_6 is (2x – 5)º and m_8 is (x + 5)º.

Mathematics

1 answer:

HACTEHA [7]3 years ago

4 0

m_6 + m_8 = 180º because they form a straight line.

So, (2x-5) + (x+5) = 180

3x = 180

x = 60

So, m_115º (2•60 - 5 = 115)

Also, because the two lines are parallel m_6 = m_3 by alternate interior angles.

So, m_3 = 115º

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<h3>Solution:</h3>

Given that surface area of rectangular prism is 2210 square centimeter

Also given that two of dimensions are 5 cm and 10 cm

To find: other dimension

The total surface area of the rectangular prism is gievn as:

$\text {Total surface area }=2(lb+b h+h l)$

Where, "l" is the length and "b" is the breadth and "h" is the height

The given values are: l = 5cm and b = 10cm

On substituting the given values in formula we get,

$\begin{array}{l}{2210=2(l \times b+b \times h+h \times l)} \\\\ {2210=2(5 \times 10+10 \times h+h \times 5)} \\\\ {2210=2(50+10 h+5 h)} \\\\ {1105=50+15 h} \\\\ {1055=15 h} \\\\ {h=70.3}\end{array}$

Thus the other dimension is 70.3 cm

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