1) Which relation is not a function?

Mathematics

1 answer:

Cloud [144]3 years ago

8 0

D because of the vertical line test. The c input 2 has two different out puts meaning that it is not a function

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Determine whether each statement is true or false. if true, explain your reasoning . If false provide a counter example.

Goshia [24]

Answer:

1. False

2. False

3. True

Step-by-step explanation:

1. The diagonals of a rectangle always form four congruent triangles, which is a false statement.

The counter-statement will be, the diagonals of a square always form four congruent triangles.

2. A quadrilateral has perpendicular diagonals. Is this enough to determine what type of quadrilateral it is?

The answer is no.

The counter-statement will be, a quadrilateral has perpendicular diagonals, then it may be a rhombus or a square.

3. Explain why drawing a diagonal on any parallelogram will always result in two congruent triangles and it is true that the two triangles will be congruent as the opposite sides of the parallelogram are equal and there is a common side which is the diagonal itself.

Therefore, using SSS criteria the triangles are congruent. (Answer)

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3 years ago

Equation practice with angle addition

Nuetrik [128]

Answer:

40 degrees

Step-by-step explanation:

< QPS = 90

<QPR + <RPS = 90

7x - 9 + 4x + 22 = 90

x = 7

So, <QPR = 7*7 - 9 = 40

5 0

3 years ago

State whether the given measurements determine zero, one, or two triangles. b=86, b=21, c=18

hammer [34]

Answer: 1

Step-by-step explanation:

I assume you meant to type $B=86^{\circ}, b=21, c=18$ .

By the Law of Sines,

$\frac{\sin C}{c}=\frac{\sin B}{b} \\ \\ \frac{\sin C}{18}=\frac{\sin 86^{\circ}}{21} \\ \\ \sin C=\frac{18 \sin 86^{\circ}}{21} \\ \\ C=\sin^{-1} \left(\frac{18 \sin 86^{\circ}}{21} \right), 180^{\circ}-\sin^{-1} \left(\frac{18 \sin 86^{\circ}}{21} \right) \\ \\ C \approx 58.77^{\circ}, 121.23^{\circ}$

Since only one of these values will make a triangle (the obtuse possibility for C will mean $B+C > 180^{\circ}$ , which violates the condition that the angles of a triangle add to 180 degrees), 1 triangle can be formed.