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mr Goodwill [35]
3 years ago
7

For what value of x is line a parallel to line b?

Mathematics
2 answers:
Yuliya22 [10]3 years ago
6 0
The correct answer is  x=20
<span>Enter 20 in the  box</span>
5x+15=1155x=100x=20
and to check (5x +15) = 115 are corresponding angles(5)(20)+15 Substitute x for 20=115
galben [10]3 years ago
4 0
Check the picture below.

now, if those two angles are corresponding, that means they're equal, therefore then

5x + 15 = 115

and surely you know what "x" is, and for that value, the angles are corresponding and therefore the lines are parallel.

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Answer:

The line segment partitioned two-fifths from A to B is (10,6)

Step-by-step explanation:

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than find the difference between A to B i.e B - A

(1,3)-(16,8) = (-15,-5)

To measure the (2/5) difference we will multiply (-15,-5) with  (2/5) which is equal to (-6,-2)

Now Add the difference to the first coordinate (point A) gives

Point of division = (16,8)+(-6,-2)

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asambeis [7]

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Step-by-step explanation:

As per Janayda,

From the figure attached,

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m∠TRQ + m∠RQT + m∠QTR = 180°

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m∠RQT = 180° - 60°

m∠RQT = 120°

Since, m∠RQT + m∠PQT = 180° [Linear pair of angles]

m∠PQT = 180° - m∠RQT

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In right angled triangle TPQ,

m∠TPQ + m∠PQT + m∠PTQ = 180°

90° + 60° + m∠PTQ = 180°

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Similarly, other angles can also be evaluated from the given information.

In ΔQTP and ΔNTP,

TP ≅ TP [Reflexive property]

NP ≅ PQ [Given]

ΔQTP ≅ ΔNTP [By LL postulate for congruence]

Therefore, Janayda is correct.

While Sirr is incorrect.

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Answer:

6

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