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3 years ago

A quadilateral ABCD is drawn to circumcribe a circle . prove that AB+CD=AD+BC

Mathematics

2 answers:

gizmo_the_mogwai [7]3 years ago

6 0

Answer:

detail in steps

Step-by-step explanation:

as illustrated

AB = AP + BP

CD = CR + DR

AD = AS + DS

BC = BQ + CQ

while AP = AS BP = BQ CQ = CR DR = DS

AB + CD = AP + BP + CR + DR

AD+BC = AS + DS + BQ + CQ

∴ AB+CD=AD+BC

lora16 [44]3 years ago

3 0

Answer:

Helllllp

Step-by-step explanation:

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Miriam is picking out some movies to rent, and she is primarily interested in comedies and foreign films. She has narrowed down

Keith_Richards [23]

Answer:

There are 795 combinations.

Step-by-step explanation:

The number of ways or combinations in which we can select k element from a group of n elements is given by:

$nCk=\frac{n!}{k!(n-k)!}$

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.

Then, the number of combinations for every case are:

1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:

$10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}$

$10C2*15C1=675$

2. Choose 3 Comedies from the 10. This is calculated as:

$10C3=\frac{10!}{3!(10-3)!}=120$

Therefore, there are 795 combinations and it is calculated as:

675 + 120 = 795

8 0

3 years ago

What is the simplified form of the following expression? 5√8-√18-2√2

Romashka [77]

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

$= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}$

Now simplify the above

Terms are written as

$\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}$

$\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}$

Put in the above expression.

$= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}$

$= 10 \sqrt{2} -5 \sqrt{2}$

$=5 \sqrt{2}$

$Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .$

6 0

3 years ago

I need help on this question plz

drek231 [11]

Given is triangle with base = 10 cm and perpendicular height = 3 cm.

We know the formula for area of triangle is given by :-

Area = $\frac{1}{2}$ × (Base) × (perpendicular height)

Area = $\frac{1}{2}$ × (10) × (3)

Area = $\frac{30}{2}$

Area = 15 cm²

So, final answer is 15 cm².

3 0

3 years ago

Divide. 7/$7.42 =$___

Damm [24]

7/7.42 = $0.94

Hope this helped :)

3 0

3 years ago

Please show work and thank youuu

Papessa [141]

Answer:

x = 8√2

Step-by-step explanation:

As the opposing side of the angle and the hypotenuse are given, take the sine ratio of the angle.

sin 45° = x/16
1/√2 = x/16
x = 16 / √2
x = 16√2 / 2
x = 8√2

8 0

2 years ago

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