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Sidana [21]
3 years ago
11

Need help with this

Mathematics
1 answer:
netineya [11]3 years ago
3 0
The answer to your question is C.
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Determine which lines are parallel and which are not parallel. Explain your reasoning.
NeX [460]

Answer:

If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

1)  m∠3=69°, m∠7=71°

Here we can see that:

m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

∠7 = 180° - 114° = 76°

Then we have:

∠7 = ∠3

From this we can conclude that lines R and S are parallel.

(again, we can not do anything with lines N and M)

6 0
2 years ago
If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed?
Lynna [10]
There are 6, you'd think there would be 8 but the answer is actually 6. A diagonal is a line segment that connects to vertices, the two vertices chosen do not count when forming the triangle, two vertices that are adjacent to that chosen vertex are NOT included when forming the diagonal. It's confusing, but I hope this helps. If you have any follow up questions I'd love to answer them.
3 0
3 years ago
Read 2 more answers
Please Help! 40 Points!
belka [17]
Fyi I didn't find this on google or anything I did the calculation on my computer and yes this is correct...

If it's wrong I'm sorry...

3 0
3 years ago
Jamal planted 53 fewer flowers than Heidi. Write an expression to show how many flowers Heidi planted.
Sergeu [11.5K]

Answer:

y = x + 53

Step-by-step explanation:

Let x be the number of flowers Jamal planted and y the number of flowers Heidi planted.

Jamal planted 53 fewer flowers than Heidi:

x = y - 53

Isolate the y.

x + 53 = y (Change the - sign to + sign when switching from different sides of an equation)

y = x + 53

6 0
3 years ago
Read 2 more answers
MULTIPLE CHOICE PLS ANSWER
zubka84 [21]

Answer:

Option.B

Step-by-step explanation:

Its because if you add these two angles you get a supplementary angle or 180°

Using this we can form an equation to find the value of x.

(Hope this answer helps :))

(And is this question from Khan Academy?)

5 0
3 years ago
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