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3 years ago

Determine whether each pair of triangles is similar. Justify your answer.

Mathematics

2 answers:

tresset_1 [31]3 years ago

7 0

M<J = m<N ( alternate angles)
m<K = m<M ( alternate angles)

so the third angles must also be equal ( total 180 degrees in each triangle)

Therefor the triangles are similar

myrzilka [38]3 years ago

3 0

Answer with Step-by-step explanation:

We are given that

MN is parallel to JK

In triangle MLN and triangle JLK

Angle JKL=Angle NML

Reason:Alternate interior angles

Angle MNL=Angle KJL

Reason:Alternate interior angles

Triangle MLN is similar to triangle JLK

Reason: By AA postulate

Yes, two triangles JLK and triangle KLN are similar.

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coldgirl [10]

Answer:

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2 years ago

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olga2289 [7]

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3 years ago

What are the solutions to the quadratic equation below x^2+20x+100=7

aleksandrvk [35]

First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides

x^2 + 20x + (100 - 7) = 7 - 7

x^2 + 20x + 93 = 0

Now you must find two numbers who's sum equals 20 and their multiplication equal 93

Are there any? NO!

This means that you have to use the formula:

$\frac{-b±\sqrt{b^{2} - 4ac} }{2a}$

In this case:

a = 1

b = 20

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^^^We must simplify √28

√28 = 2√7

so...

$\frac{-20 plus/minus 2\sqrt{7} }{2}$

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2 years ago

Tim has twice as many marbles as Luke together they have 39 marbles how many marbles does time have

Travka [436]

Tim has 2 times as luke
t=2l
they have 29 goether
t+l=39
subsitute
2l+l=39
3l=39
divide by 3
l=13

subsitue
t=2l
t=2(13)
t=26

tim has 26 and luke has 13
I don't know how many marble Tim has but probably all of them since alll must die and then the marbles go to Time

3 0

3 years ago

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