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

7 0

3 years ago

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1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?

Studentka2010 [4]

Answer:

Step-by-step explanation:

x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3

$\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}$

$\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}$

=2.75

6 0

3 years ago

The functions, f and g, are defined below.<br> f(x) = 2x² +5<br> g(x)=x-3<br> What is f(g( – 5))

Grace [21]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Ben left a 20% tip on his bill at a restaurant. The bill was $40

tigry1 [53]

Answer:

Tip: $8

Total:$48

Step-by-step explanation:

Multiply 40 by 20% to find out how much money he gave for tip.

Add the amount of tip, 8, to $40 find out the total amount of money he spent.

3 0

3 years ago