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Anastasy [175]
3 years ago
8

A)

Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Diagram for part A and part C is attached herewith.

Solving for part B:-

Given is the circle O. We start with drawing two radii OA and OC, then we join two points A and C to make a chord AC of the circle. Now The radius of the circle intersects the chord AC at point B such that it bisects AC into two equal parts AB and BC. Now we have two triangles ΔOBA and ΔOBC. In these two triangles, we have OA=OC (radii of circle), OB=OB (reflexive property), and BA=BC (given in the question). Using SSS congruency of triangles we can say ΔOBA≡ΔOBC and using CPCTC, we can conclude ∡OBA=∡OBC (=90°). Hence OB⊥AC i.e. OB is perpendicular to AC.

Solving for part D:-

Given is the circle O. We start with drawing two radii OA and OC, then we join two points A and C to make a chord AC of the circle. Now The radius of the circle intersects the chord AC at point B such that AB is perpendicular to AC i.e. ∡B=90°. Now we have two Right triangles ΔOBA and ΔOBC. In these two triangles, we have OA=OC (radii of circle), OB=OB (reflexive property). Using HL congruency of right triangles we can say ΔOBA≡ΔOBC and using CPCTC, we can conclude BA=BC. Hence OB bisects AC into AB=BC.

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nikdorinn [45]

Square root of 9340 = 96.64

nearby number = 96

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the smallest number 124 should be subtracted from 9340 so as to get a perfect square.

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3 years ago
Find the total travel time: Depart 5:30 pm MST Arrive 9:20 pm CST.
Ivan

Answer:

2 hour 50 minutes

Step-by-step explanation:

Given data: Departure = 5:30 pm MST, Arrive = 9:20 pm CST

Note that MST is the time zone 1 hour before CST.

Let us convert MST into CST.

Departure = 5:30 pm MST = 6:30 pm CST

Total time travel = Departure – Arrival

= 9.20 pm MST – 6.30 pm MST

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4 years ago
Point A is at the coordinate (-5, 6). Point B is located at (-5, -4). What is the distance between these two points?
katrin [286]

Answer:

10

Step-by-step explanation:

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I think so lol

3 0
3 years ago
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Nataliya [291]

Answer:

The last graph.

Step-by-step explanation:

In the first graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 2/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the second graph, the darker triangle has one side that is 1/2 of the corresponding side of the other triangle, and one side that is 3/5 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the third graph, the darker triangle has one side that is 1/3 of the corresponding side of the other triangle, and one side that is 1/2 of the corresponding side of the other triangle.  This is not proportional for all sides, so this is not a dilation.

In the fourth graph, the darker triangle has one side that is 2/3 of the corresponding side of he other triangle, and another side that is 4/6=2/3 of the corresponding side of the other triangle.  Since these are both right triangles, this means the other side, the hypotenuse, will have the same ratio.  Since it is proportional for all sides, this is a dilation.

3 0
3 years ago
Read 2 more answers
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