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Len [333]
3 years ago
13

Given: Circumscribed ABCD, AB=5,AD=8, CD=10. Find: BC

Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

Answer:

BC=7

Step-by-step explanation:

The circle can be circumscribed into the quadrilateral, if the sums of the opposite sides of the quadrilateral are eqaul.

Thus,

AB+CD=AD+BC,\\ \\8+BC=5+10,\\ \\BC=15-8=7.

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The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three
Margaret [11]

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: \frac{a + b + c + d}{4} = 85

Whose largest number is 97: \frac{a + b + c + 97}{4} = 85

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

3 0
3 years ago
What is the volume of the sphere?
Ugo [173]

Answer:

V≈523.6ft³

Step-by-step explanation:

try using a sphere calculator next time its a lot easier and saves time!

7 0
3 years ago
Susan designed a circular pool with diameter of 25 meters. What is the area of the bottom of the pool?
wel

Answer: Area = 490.87  meters

Step-by-step explanation:

A=πr2

r = 12.5 (1/2 of diameter)

A = 490.87  meters

7 0
3 years ago
Read 2 more answers
Find the measure of the exterior angle.
Novay_Z [31]

Answer: 108 degrees

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two remote interior angles. (Remote referring to the farthest angles from the exterior angle) 2a = (a+10) + 44. Combine like terms.

2a = a+ 54. Subtract “a” from both sides.

a= 54

You can check for correctness by plugging in 54 for a. 2(54) = (54+ 10) + 44. 108= 108.

(Remember, the exterior angle should equal the sum of the two remote interior angles)

8 0
3 years ago
My brother owes me $10. I already have $10. My dads friend gave me and him $20 to split in half. He gave me the $20 and took my
SVETLANKA909090 [29]
Yes...     You have $10
               your brother is supposed to give you $10
               he gives you the money the friend told him to and you would have $20 PLUS the ten that he owes you. That would make you have $30. He took youre ten and gave you 20 but you were supposed to have 20 in the first place. He needs to give you the ten back he owes you. 
5 0
3 years ago
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