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Veronika [31]
4 years ago
5

The difference of the same side angles of two parallel lines is 35°. Find all angles

Mathematics
1 answer:
Pavel [41]4 years ago
3 0
<h3>Answer:</h3>

All acute angles are 72.5°; all obtuse angles are 107.5°.

<h3>Explanation:</h3>

Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...

... o + a = 180

... o - a = 35

Adding these two equations gives ...

... 2o = 215

... 215/2 = o = 107.5 . . . . degrees

Then the other angle is ...

... a = 107.5 - 35 = 72.5 . . . . degrees

_____

All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.

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This quadratic should be solved using the quadratic formula.

 

The quadratic formula is

 

(-b +/- sqrt(b2 - 4ac)) / (2a)       (Side note: The +/- means that you use the plus sign once, then recalculate again using the minus sign. You should get two answers this way.)

 

The numbers that we plug into the letters can be found from the general form of a quadratic equation

 

ax2 + bx + c

 

In your quadratic a = 3, b = 1, and c = -5. I'll let you try and solve the rest on your own. Whatever your answer is, round it off to two decimal places.

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4 0
2 years ago
Its super duper easy but im having some trouble<br> so can someone help me?
Klio2033 [76]

together = add

add the fractions

3 7/10 + 5 9/10

add the whole numbers first

3+5=8

add the fractions

7/10+9/10= 16/10

8 16/10

reduce 16/10 divide by 2

16/2= 8

10/2= 5

8 8/5

whole number changes to 9

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9 3/5

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Answer: B

Step-by-step explanation:

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