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kirill [66]
4 years ago
9

It's a system of equations x=-4y x+6y=18

Mathematics
1 answer:
Misha Larkins [42]4 years ago
3 0
Subsitute -4y for x

-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back

x=-4y
x=-4(9)
x=-36

(x,y)
(9,-36)
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Which similarity statement is true?
stepan [7]

9514 1404 393

Answer:

  (a)  ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

  ΔWXZ lists sides in order short leg (WX), long leg (XZ).

  ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

6 0
3 years ago
Tessellations (image below)
alexgriva [62]

9514 1404 393

Answer:

  regular octagon

Step-by-step explanation:

In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.

An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.

Octagons will not tessellate a plane.

8 0
3 years ago
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