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Reil [10]
3 years ago
8

M<KGH=x+161,m<FGK=x+41,and m<FGH=180° Find x

Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer: x = -11   ∠FGK = 30°   ∠KGH = 150°

<u>Step-by-step explanation:</u>

∠FGK + ∠KGH = ∠FGH    <em>Segment Addition Postulate</em>

x + 41 + x + 161 = 180       <em>Substitution</em>

2x + 202 = 180  <em>               Simplify (added like terms)</em>

2x = -22                            <em>Subtraction Property of Equality</em>

x = -11                               <em>Division Property of Equality</em>

 

∠FGK = x + 41     = (-11) + 41    = 30

∠KGH = x + 161   = (-11) + 161   = 150

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Lucy's pet snake eats 2 mice a week how many mice will she eat in 6 weeks
alexgriva [62]

What we know: Lucy's snake eat's 2 mice a week.

To find the answer, you'll have to multiply 2 by 6.

So, since Lucy's snake eats 2 mice a week for 6 weeks.

To find the amount of mice her snake has eaten in the past 6 weeks you'll have to multiply 2 and 6.

2x6=?

------------------------------------------------------------------

The first week the snake ate 2 mice.

The second week the snake ate 2 mice.

The third week the snake ate 2 mice.

The fourth week the snake ate 2 mice.

The fifth week the snake ate 2 mice.

The sixth week the snake ate 2 mice.

Your answer would be: 12

5 0
3 years ago
How
Alecsey [184]

Answer:

A one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

Distribute

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Subtract 3x from each side

4x-3x-20 = 3x+7-3x

x -20 = 7

Add 20 to each side

x -20+20 = 7+20

x = 27

There is one solution

5 0
3 years ago
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inn [45]
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2 years ago
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Doss [256]

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4 0
3 years ago
Evaluate -6(x-2y) when x= -3 and y= -5<br> a. -42<br> b. 80<br> c. -80<br> d. -16
Vinil7 [7]
Simply substitute x for -3 and y for -5, creating the equation shown below:
     
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Now that you have your values set up, now you can do the math by starting off with Multiplying -2 by -5, which will get you 10. 

Now that you have the parenthesis simplified in the parenthesis, you can use the distributive property by multiplying all the numbers with -6, like so:
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5 0
3 years ago
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