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2 years ago

Find the value of the variables, giving brief reasons for your answer:

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

3 0

Answer:

a = 70°

b = 80°

Step-by-step explanation:

Angles on a straight line add up to 180°

⇒ a + 110 = 180

⇒ a = 180 - 110

⇒ a = 70°

The sum of the interior angles of a quadrilateral is 360°

⇒ a + b + 130 + 80 = 360

⇒ 70 + b + 130 + 80 = 360

⇒ b + 280 = 360

⇒ b = 360 - 280

⇒ b = 80°

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ntersecting lines DA and CE.

To find:

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2 years ago

a pipeline is laid at a rate of 1/8 mile per day.How many miles of line would be completed in 29 1/2 days

Setler [38]

Answer:

In 29 1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.

Step-by-step explanation:

The length of pipe laid in 1 day = 1/8 mile

So, the length of pipe laid in half day = half of (1/8 mile)

= $\frac{1}{2} \times \frac{1}{8} = \frac{1}{16} \textrm{mile}$

Now, 29 1/2 days on simplification means 29 and half day.

So, length of pipe in 29 days = $29 \times \frac{1}{8} = \frac{29}{8}$ mile

Now adding the length laid in half day = $\frac{29}{8} + \frac{1}{16} = \frac{29 (2) + 1}{16} = \frac{59}{16} \textrm{mile}$

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3 years ago

Find the value of the variables, giving brief reasons for your answer:​

Find the value of the variables, giving brief reasons for your answer: