1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
6b - 1 &lt; -7 or 2b + 1 &gt; 5
bogdanovich [222]
I hope this helps you

3 0
3 years ago
Which of these words best describes straight train tracks
nydimaria [60]

parallel lines is the answer

5 0
4 years ago
Read 2 more answers
Solve the system by substitution 5x+y=-10. 4x-7y=-8
storchak [24]

Answer:

x = -2 and y = 0

Step-by-step explanation:

5x + y = -10

4x - 7y = -8

Rearrange the first equation to equal y.

5x + y = -10

y = -10 - 5x

Replace y in the second equation with the first equation.

4x - 7y = -8

4x - 7(-10 - 5x) = -8

4x - (-70 -35x) = -8

4x + 70 + 35x = -8

Rearrange the equation to find x.

4x + 35x = -8 - 70

39x = -78

x = -2

Now that you know x, use the rearranged first equation to find y.

y = -10 - 5x

y = -10 - 5(-2)

y = -10 + 10

y = 0

8 0
3 years ago
Must the prime factors of a composite number be less than the square root of the composite number?
Colt1911 [192]

Answer:

Step-by-step explanation:

Yes!

The square root of a number represents the "middle number" possible as a divisor of any given number.

All other factors will have one number above the square root and one number below the square root.

For example consider 80.

The prime factors are 2 * 2 * 2 * 2 * 5. The square root of 80 is about 9, so any factor of 80 must have all the primes under the square root or 1 above and 1 below.

10 * 8 is one such pair. 10 is above 9 and 8 is below it.

=============

I have read the comments made by others. I believe what they are saying is true, but I'm not interpreting the question the same way. I'm looking at these as pairs. The commenter is taking 1 prime at a time. It's a fair way to look at the question. You have to decide how you want to present your answer. You could go either way. That's the problem with some of these questions.

3 0
3 years ago
Y=8x+2 (3, ), ( ,0), ( ,-6)
Kipish [7]
So basically all your doing is substituting the given number to the equation:

(3, ) (,0)
y=8(3)+2. 0=8x+2
y=24+2. 8x=0-2
y=26. 8x= 2
divide both side by 8
x=4

(3,26) (4,0)
7 0
3 years ago
Other questions:
  • A certain arithmetic sequence has this explicit formula for the nth term:
    13·2 answers
  • By graphing the system of constraints, find the values of x and y that maximize the objective function.
    13·2 answers
  • Solve: 4 − 5 = 2 + 1
    9·2 answers
  • Please help me out !!!!!!
    15·1 answer
  • Please help thanks very much
    8·1 answer
  • 2/100+5/10 find the sum
    12·1 answer
  • How much do you need to subtract from 31/6 to make 5
    14·1 answer
  • Plz help 27 points answer all plz thanks
    14·2 answers
  • I will give brilleent 4 the right answer
    12·1 answer
  • How would i do this problem? please help !
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!