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Ainat [17]
3 years ago
13

Find the value of x in the following figure.

Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
The sum of all exterior angles on a polygon  = 360 degrees.

Therefore you can make this formula:

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)

Now let's solve for x.

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)
360 = 46 + 12x + 37 + 12x - 2 + 20x - 29
360 = 83 + 12x + 12x - 2 + 20x - 29
360 = 81 + 12x + 12x + 20x - 29
360 = 52 + 12x + 12x + 20x
360 = 52 + 24x + 20x
360 = 52 + 44x
308 = 44x
/44      /44
   7 = x

Therefore, x is equal to 7. You can substitute this into each angle to find the actual measurement of each angle. You will notice that the finished angles will all add up to 360 degrees.

Hope it helped :P
You might be interested in
I have three times as much money as does my brother. Our combined total is $42. How much does each of us have?
nika2105 [10]
For an instance, i stands for the money that you have, and b stands for the money that brother has.
An equation system based on the problem would be
i + b = 42 (equation 1)
i = 3b (equation 2)

Use substitution method to solve the problem
substitute 3b into i in the equation 1
i + b = 42
3b + b = 42
4b = 42
b = 42/4
b = 10.5

substitute the value of b into the equation 1
i = 3b
i = 3(10.5)
i = 31.5

You have $31.5 and your brother has $10.5
4 0
3 years ago
What is the least common multiple of six and eight?
Solnce55 [7]

Answer:

24

plz mark me as brainliest :DD

6 0
3 years ago
Read 2 more answers
Scientific notation of 47300
Reil [10]
4.7 x 10^4
or 5 x 10^4

<span>The scientific notation of 70, 030, 000. To find the scientific notation of this value </span><span><span>
1.  </span>We first move the period which separates the whole number from the decimal number which is located after the numbers of the given value.</span> 
<span><span>2.  </span>We move it in the very recent order number which is seventy million, seven and zero.</span> <span><span>
3.  </span>It becomes 7.003</span>
<span><span>4.  </span>Thus we count how many moves we did from the tens to the ten million order place.</span> <span><span>
5.  </span>7.003 x 10^7 </span>


6 0
3 years ago
Cara is hanging a poster that is 91 centimeters wide in her room. The center of the wall is 180 cm from the right end of the wal
notka56 [123]
180-91=89
89/2=44.5
each side 44.5??
7 0
3 years ago
Read 2 more answers
Can someone please help me
svp [43]

Answer:

m < 2 = 137°

m < 4 = 137°

Step-by-step explanation:

Given that m < 7 = 43°, we can say that it has the same measure as < 3 because they are corresponding angles. Thus, we can establish that m < 3 = 43°.

We can use m < 3 = 43° to find m < 4, as they are supplementary angles that have a sum of 180°.

Therefore:

m < 3 + m < 4 = 180°

Rearrange the formula to isolate m < 4:

m < 4 = 180° - m < 3

Substitute the value of m < 3 into the rearranged formula:

m < 4 = 180° - m < 3

m < 4 = 180° - 43°

m < 4 = 137°

Therefore, m < 4 = 137°.

< 2 and < 4 also have the same measure because they are vertical angles.  Two angles are vertical angles if they are opposite angles formed by the intersection of two lines.  

Hence, m < 2 = 137°

Please mark my answers as the Brainliest if you find my explanations helpful :)

6 0
2 years ago
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