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atroni [7]
3 years ago
5

Work out size of angle cde​

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0

Step-by-step explanation:

CDE = 2x, DEF = x

hexagon = 720°

720 = 115 + 145 + 160 + 90 + 2x + x

720 = 3x + 510

720 - 510 = 3x

210 = 3x

x = 210 ÷ 3

x = 70°

CDE = 2x

= 2(70)

= 140°

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classify each angle pair using all the names that apply using the diagram on the left , answering 1 2 3 4 and 5 , explain why.(
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Answer:

  see the attachment

Step-by-step explanation:

1.  Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.

2.  Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.

3.  Angle GMK is supplementary to angle JMG.

4.  Vertical angles are congruent. See question 2.

5.  See question 1.

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2 years ago
Lucas' mom is eight years older than twice his age. The sum of their ages is 77. How old are Lucas and his mom?
Rudiy27

Answer:

Age of Lucas = 23 years

Age of Lucas Mom = 54 Years

Step-by-step explanation:

In this question we have to find the age of Lucas and his Mom

Let the age of Lucas be x

According to given condition

Twice of his age 2 * x =2x

Eight years older means age + 8x

So

Age of his mom = Twice of his age + 8

                           = 2x + 8               .................(ii)

now according to second condition

Age of Lucas + Age of his mom = 77

Put the values in the condition above

x + (2x + 8) = 77

x + 2x + 8 =77

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subtracting 8 from both sides

3x + 8 - 8 = 77 -8

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Dividing both sides by 3

x = 69 / 3

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Age of Lucas = 23 years

Now from equation (i)

Age of Lucas Mom = 2(x) + 8

putting in the value we get

Age of Lucas Mom = 2 ( 23) + 8

                               =46 + 8

                               =54 Years

Age of Lucas Mom = 54 Years

3 0
3 years ago
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