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Pavel [41]
3 years ago
8

Match each diagram with a description and an equation.

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

id

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

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Prove ΔPAB is isosceles.
Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If PX\cong PY, then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

\angle 1\cong \angle 2

and

m\angle 1=m\angle 2

Angles 1 and 3 are supplementary, so

m\angle 3=180^{\circ}-m\angle 1

Angles 2 and 4 are supplementary, so

m\angle 4=180^{\circ}-m\angle 2

By substitution property,

m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3

Hence,

\angle 3\cong \angle 4

Consider triangles APX and BPY. In these triangles:

  • PX\cong PY - given;
  • \angle 5\cong \angle 6 - given;
  • \angle 3\cong \angle 4 - proven,

so \triangle APX\cong \triangle BPY by ASA postulate.

Congruent triangles have congruent corresponding sides, then

AP\cong BP

Therefore, triangle APB is isosceles triangle (by definition).

6 0
3 years ago
An interior angle of a regular polygon has a measure of 135° how many sides does it have
butalik [34]

8 sides

the exterior angle = 180° - 135° = 45° ( exterior/ interior are supplementary )

the sum of the exterior angles of a polygon = 360°

number of sides = \frac{360}{45} = 8


6 0
3 years ago
Which type of angle pair are
zavuch27 [327]
Thank u for posting a picture!
And I believe that it would be vertical because they are the same and they r across from each other and share the same point of S
Hope this helps have a nice day!!
8 0
3 years ago
Read 2 more answers
Let the function f(x) have the form f(x) = Acos(x-C). To produce a graph that
Gala2k [10]

Answer:

A has to be 2

Step-by-step explanation:

In the expression f(x)=A*cos(x-C), the multiplicative factor A represents what is called the "amplitude of the wave-shaped function that you obtain as the graph. Such amplitude is understood as half of the crest-to-through distance of the wavy curve.

From the drawing, the crest is at y=2 and the through at y=-2 (a distance of 4 units) therefore the value of A should be half of that distance: 4/2 = 2

6 0
3 years ago
Read 2 more answers
What is the difference between “ and “ and “ or “ ?
Nata [24]

Answer:

And is an inclusive conjunction, meaning more can follow and exist at the same time, while or is an exclusive conjunction, meaning only one choice can exist at one time.

Step-by-step explanation:

6 0
3 years ago
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