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3 years ago

Help me work this out please

Mathematics

1 answer:

creativ13 [48]3 years ago

6 0

Answer:

∠DEF = 250°

Step-by-step explanation:

1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.

2. Add all the known angles, then subtract from the total degrees:

50 + 96 + 144 + 42 = 332

720 - 332 = 338

3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.

4. Add all the known values and subtract from 720 for the value of ∠DEF:

50 + 96 + 144 + 42 + 138 = 470

720 - 470 = 250°

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2 years ago

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

amm1812

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

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We make x the subject of the first equation and put it into the second:

$x = - 13 - 2y$

We put this expression for x into the second equation

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3 years ago