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LiRa [457]
3 years ago
8

Step 2: Radii OK and NL are perpendicular to OM because of the radius-tangent theorem. By definition of perpendicular, angles KO

M and LNM are right angles. This means that triangles KOM and LNM are right triangles. Angle LMN is common to both right triangles, so by the _________________________, triangles KOM and LNM are similar.
Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer:

Angle Angle Angle (AAA) property

Step-by-step explanation:

A right angled triangle is a triangle that has one of its angles to equal 90^{0}. It could be in the form of an isosceles triangle or an acute angled triangle.

The given question compares the congruence properties of two triangles, KOM and LNM.

Thus,

<KOM = <LNM (right angle theorem)

<LMN = <KMO (common angles to both triangles)

⇒ <OKM = <NLM (property of a triangle i.e sum of angle in a triangle is 180^{0})

ΔKOM = ΔLNM (congruence property)

Therefore, by angle angle angle (AAA) congruence property, the two triangles are similar.

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I need help with 5-9
Goryan [66]

Answer:

5) x = 1, y = -3

6) x = -20, y = 2

7) infinite solutions

8) no solutions

Step-by-step explanation:

5)

y = 5x - 8

y = -6x + 3

5x - 8 = -6x + 3

11x = 11

x = 1

y = 5 - 8

y = -3

6)

2x + 10y = -20

-x + 4y = 28

2x = -20 - 10y

x = - 10 - 5y

-x = 28 - 4y

x = -28 + 4y

-10 - 5y  = -28 + 4y

-10 + 28 = 4y + 5y

18 = 9y

2 = y

2x + 20 = -20

2x = -40

x = -20

7)

this has infinite solutions because one equation is a simplified version of the other

8)

this has no solutions because 5 does not equal -5

9)

I can't graph on brainly, hope this helped though

3 0
2 years ago
Round to the near at tenth <br> | 3x + 1 | =22
sdas [7]

Answer:

x =7                                    x = -7  2/3

Step-by-step explanation:

| 3x + 1 | =22

Absolute value equations have 2 solutions, one positive and one negative

3x+1 = 22                   3x+1 = -22

Subtract 1 from each side

3x+1-1 =22-1               3x+1-1 = -22-1

3x= 21                         3x = -23

Divide each side by 3

3x/3 = 21/3                      3x/3 = -23/3

x =7                                    x = -7  2/3

6 0
3 years ago
Please help . 20 points for right answer
siniylev [52]
You would add up the percentages first, which would bring everything up to 35%. You would then take the original cost of the item, which is $30 and multiple it by the 35%. 

The equation would look like...

30 x .35 = 

This will give you $10.50, which isn't the final answer.

You would then subtract 10.50 from the $30 that was asked for at the beginning by the retailer. 

Your final answer is $19.50. :) Which isn't a bad deal if I say so myself.
3 0
2 years ago
4
erik [133]

Answer:

47

Step-by-step explanation:

the lines are parrele which explains

why its 47

7 0
3 years ago
ANSWER ASAP PLEASE<br> look at the photo
Liula [17]

Step-by-step explanation:

Area of trapezium = 1/2(a+b)h

= 1/2(10+24)12

= 1/2×34×12

= 204 square units

3 0
2 years ago
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