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Ipatiy [6.2K]
3 years ago
14

Circle O and circle P are congruent. What can you conclude from the diagram?

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
8 0
It is indicated that angles at O and P are congruent, therefore arc AB is congruent to arc DE, also segments BO, AO, PD, and PE are all congruent, finally arcs BCA and DFE are congruent
AnnyKZ [126]3 years ago
6 0

Answer: We can only conclude that OA=OB=PD=DE.

Explanation:

Since, if two circle are congruent then there radius must be equal.

And, here A and B are the points in the circumference of circle O therefore, the distance of these points from the center O of circle is the radius of the circle.

So, OA=OB. ( if we join the points O and C then OA=OB=OC)

Similarly, In Circle P, PE= PD. ( if we join the points P and CF then PD=PE=PF).





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Find the area of a circle with radius, r = 1cm. Give your answer in terms of π .
natulia [17]

Answer:

A = 1cm*pi

Step-by-step explanation:

5 0
2 years ago
Find the value of each variable.
Harrizon [31]

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

8 0
1 year ago
Isabel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an a
zaharov [31]

The missing part of the question is "For what amount of driving do the two plans cost the same"

The amount of driving that do the two plans cost the same is 450 miles

Step-by-step explanation:

Isabel will rent a car for the weekend. She can choose one of two plans

  • The first plan has an initial fee of $46 and costs an additional $0.13 per mile driven
  • The second plan has an initial fee of $55 and costs an additional $0.11 per mile driven

We need to find for what amount of driving do the two plans cost the same

Assume that she will drive for d miles

The first plan:

∵ The initial fee is $46

∵ The additional cost is 0.13 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $46 and the product of

   0.13 and d

∴ The cost = 46 + 0.13 d ⇒ (1)

The second plan:

∵ The initial fee is $55

∵ The additional cost is 0.11 per mile

∵ She will drive for d miles

- The cost of her trip is the sum of $55 and the product of

   0.11 and d

∴ The cost = 55 + 0.11 d ⇒ (2)

∵ The cost of the two plans is the same

- Equate (1) and (2) to find d

∴ 46 + 0.13 d = 55 + 0.11 d

- Subtract 46 from both sides

∴ 0.13 d = 0.11 d + 9

- Subtract 0.11 d from both sides

∴ 0.02 d = 9

- Divide both sides by 0.02

∴ d = 450

The amount of driving that do the two plans cost the same is 450 miles

Learn more:

You can learn more about the word problems in brainly.com/question/3950386

#LearnwithBrainly

5 0
3 years ago
Round to the nearest 10.<br> 473 <br>91<br>889<br> 124​
Novosadov [1.4K]

470

90

890

120

hope this helped :)

please mark as brainliest !!

3 0
3 years ago
Read 2 more answers
If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1?
harina [27]

Answer:

  d.  15

Step-by-step explanation:

List the exponents of each of the prime factors. Here, they are 3, 1, 1.

Add 1 to each of these values and form the product of these sums:

  (4)(2)(2) = 16

This is the number of divisors of the number. Since 1 is included in this count, 15 of the divisors are greater than 1.

3 0
3 years ago
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