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kenny6666 [7]
2 years ago
8

I need help with this question.

Mathematics
2 answers:
never [62]2 years ago
6 0

An exterior angle is equal to the two opposite inside angles.


You are given the exterior angle and the two opposite inside angles so you can set up an equation to solve for x, then replace x in the equation to solve for the angle.


7x-16 = 4x + x+8

Simplify:

7x-16 = 5x+8

Add 16 to each side:

7x = 5x+24

Subtract 5x from each side:

2x = 24

Divide both sides by 2:

x = 24/2

x = 12


Now replace x with 12:

7(12)-16

Simplify:

84 -16

Subtract:

Answer is 68 degrees.


mina [271]2 years ago
4 0

Answer:

75

Step-by-step explanation:

The answer is 82 because itś not a right angle but it is very close to being one.

Step 1: (7x + 16) The first step would be to figre out what x equals in this case   x = 14

Step 2: 7(14) if you multiply you would get 98

Step 3: 98 - 16 = 82

Step 4: Apply 82 into the inner angle

Step 5: Find what the inner angles are because when you add a triangle together you should get 180 degrees

Step 6: (x + 8) x = 30  so the new prblem would be 30 + 8 = 38

Step 7: 4x Find out what x equals x = 15 so 4(15) = 60

Step 8: 82 + 38 + 60 = 120 + 60 = 180

This explains why the answer is 82 hope this helps.

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Suppose a jar contains 5 red marbles and 25 blue marbles. If you reach in the jar and pull out one marble at random, do not repl
dsp73

Answer:

Probability that event will have both red marbles will be 2.3% or 0.023.

Step-by-step explanation:

Given:

Total red marbles=5

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Total number of marbles =30

To Find:

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Solution:

Now

Total sample space is 30 and total red marbles are 5

For a event that getting red marble probability is ,

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=1/6

So probability if getting red marble is 1/6

<em>Now for second chance there will be 4 red marbles remaining and 29 total marbles so,</em>

In second chance  probability if getting red marble will be

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Now ,

The required probability will be getting both at a time

i.e probability getting red AND red marble so here AND operator which means multiple both the probability.

Probability both will have red =1/6*4/29

=4/(29*6)=2/(29*3)

=0.022988

=0.023

=2.3 %

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