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sleet_krkn [62]
3 years ago
12

Solve the proportion 16/50 = x/156.25

Mathematics
2 answers:
xenn [34]3 years ago
7 0
X would equal 50. 156.25 times 16 is 2500. 2500 divided by 50 is 50 which is x
yuradex [85]3 years ago
4 0
The answer for this proportion is 50.
156.25 times 16 =2,500
2,500 divided by 50=50
X=50
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PLEASE HELP WHEN YOU SEE THIS
Dennis_Churaev [7]

Answer:

<em>~ m∠1 = 35 degrees ( ° ) ~</em>

Step-by-step explanation:

1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.

2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.

3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ <em>m∠1 = 180 - 145 = 35 degrees ( ° )</em>

4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.

5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1

6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such      ⇒     m∠2 = 145°, and m∠3 = 35°

7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ <em>360 = 360</em>

8. <em>This proves that the m∠1 = 35 degrees ( ° )</em>

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d1i1m1o1n [39]
The answer you selected in that photo given, is correct. I can tell just by using common sense and by judging the other options second option (B) is looking the most clearest one to me.
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