(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must

Mathematics

1 answer:

lions [1.4K]3 years ago

7 0

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

You might be interested in

When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the protectity

Fofino [41]

Answer:

The probability of hitting a single or a double is 1/5 or 20% or 20/100 or 0.2

Step-by-step explanation:

In probability, whenever we are to answer an ‘or’ question, we add up the probabilities involved.

The probability of hitting a single is 15%, that is same as 15/100 or just simply 0.15

The probability of hitting a double is 5%, that is simply 5/100 or just simply 0.05

The probability of hitting a single or a double = Probability of hitting a single + Probability of hitting a double = 0.15 + 0.05 = 0.20 or 20/100 or 1/5

6 0

3 years ago

770 packed lunches are shared equally between 35 classes. how many children in each class receive a packed lunch?

elixir [45]

Answer is 22
Step by step
770 divided by 35 classes = 22 children get packed lunches

4 0

2 years ago

What is the distance between (-5, 5) and (1, -2)

Murrr4er [49]

Answer:

$\displaystyle d=\sqrt{85}\text{, or about 9.22 units}$