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VARVARA [1.3K]
3 years ago
7

1. Triangle ABC is similar to triangle JKL.

Mathematics
1 answer:
Fittoniya [83]3 years ago
8 0
1. It's all about pattern matching, as a lot of math is.
Letter A corresponds to letter J, as both are first in the names of their respective triangles.
Letter B corresponds to letter K, as both are second in the triangle names. Likewise, letter C corresponds to letter L, as both are last.

Realizing this, it should not be too much of a stretch to see
   ∠B ⇒ ∠K
   ∠C ⇒ ∠L
   AC ⇒ JL
   BC ⇒ KL

2. Same deal. Match the patterns. Here, you're counting rings in the angle marks.
   1 ⇒ 1, so A ⇒ R
   2 ⇒ 2, so B ⇒ Q
since the figures are reportedly similar, you can continue in the same order to finish.
   ABCD ~ RQPS

3. The marked triangles cannot be similar. There are a number of ways to figure this. Basically, you want the ratios of sides to be the same for any similar triangles.

Here, you can eliminate the marked ones because the short side is too short relative to the others. (The average of the other two sides is double the short side in the similar triangles.)

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Step-by-step explanation:

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Which ordered pair is the solution to the system of inequalities
Kryger [21]

Answer:

C) (9, 4)

Step-by-step explanation:

4 < 5☑

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3 0
3 years ago
A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 t
defon

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

7 0
3 years ago
Find the closest point on the line. <br> y = - x -4 to (4,4)
Liono4ka [1.6K]

Answer:

(-2,-2)

Step-by-step explanation:

The closet point on a line to any given point is the point where a perpendicular line intersects them both. The perpendicular line to y=-x-4 that intersects (4,4) is y=x. If you graph them both, you will find that they intersect at (-2,-2).

4 0
3 years ago
Read 2 more answers
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