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Rufina [12.5K]
3 years ago
8

ABCD is a rectangle. Find the measure of angle CAD

Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer:

60 degrees

Step-by-step explanation:

CAD and CAB are <em>complementary </em>angles, meaning that they add up to 90 degrees (and form a right angle- of course!)

Therefore, we know that the angle measure of CAB is 30 degrees and we have 30 degrees+CAD=90 degrees.

Subtracting thirty degrees from both sides of this equation we get CAD=60 degrees.

Hope this helps!

BlackZzzverrR [31]3 years ago
6 0

Answer:

60 degrees

because you are tring to find what minus the other angle equals 90

Step-by-step explanation:

therefore since the other angle is 30

90-30=60

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The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (eve
Svetllana [295]

Answer:

Hence, option (3) is correct.

Step-by-step explanation:

The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45

The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40

The probability of Roger winning the tournament, given that Stephan wins, is 0 i.e. P(A|B)=0

The probability of Stephan winning the tournament, given that Roger wins, is 0 i.e. P(B|A)=0

We know that P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

⇒   P(A∩B)=0

But if A and B are independent events then P(A∩B)=P(A)×P(B)

Hence, P(A|B)=P(A)

Similarly P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}

Hence, if A and B are independent events then,

P(B|A)=P(B)

But in this situation such a thing is not possible.

Hence, option (3) is correct.

6 0
3 years ago
Read 2 more answers
Adjacent angles have no common interior points. A.)Always. B.)Sometimes. C.)Never
irina [24]
The actual answer is "always", as adjacent angles have no common interior points under any circumstances. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that you were looking for and it has come to your help.
6 0
3 years ago
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Solve –3 + c = –8.<br> A. -5 B. 11 C. 5 D.-11
sergey [27]

Answer:

The answer is A. -5

Step-by-step explanation:

Write out the equation:

-3 + c = -8           Add 3 on both sides to isolate the varible on one side

       c =  -5         -8 plus 3 is -5

You must isolate the variable in order to solve equations with variables.

Isolating variable is basically when you divide, multiply, add, or subtract to put a variable on <u><em>ONLY </em></u>one side of the equation.

<h3><u><em>Please rate this and please give brainliest. Thanks!!! </em></u></h3><h3><u><em>Appreciate it! : ) </em></u></h3><h3><u><em>And always, </em></u></h3><h3><u><em>SIMPLIFY BANANAS          : )</em></u></h3>

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6 0
3 years ago
Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the hei
Hunter-Best [27]

Answer:

x = 28.60 feet

Step-by-step explanation:

We are given a height of 2 feet above the ground and the angle of elevation of 86 degrees. 

Now, let's assume that the form of our problem is in the form of a right triangle, we can solve for the remaining angle as follows;

180 - (90+86) = 4 degrees

The distance from the home plate to the centerfield is been calculated below as

2/sin 4 = x / sin 86

solving for x we have

x = 28.60 feet

We have 28.60 feet as our answer

8 0
3 years ago
What is the solution set of [1/x-2]&lt;-2
slavikrds [6]

Step-by-step explanation:

1 \div (x - 2) + 2  < 0

(1 + 2x - 4) \div ( x- 2) < 0

(2x - 3)  \div (x - 2) < 0

Hence

You have to put:

2x  - 3 > 0

And

x - 2 > 0

Which results in:

x > 3 \div 2

And

x > 2

The solution is:

3 \div 2 < x < 2

7 0
3 years ago
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