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KatRina [158]
3 years ago
8

Using the diagram, calculate the values of the unknown variables: a, b, and c.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

a = 82

b = 130

c = 118

Step-by-step explanation:

A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

a° + 98° = 180°

a° = 180° - 98°

a° = 82°

a = 82

By inscribed angle theorem:

a° = 1/2(b° + 34°)

82° * 2 = b° + 34°

164° - 34° = b°

b° = 130°

b = 130

Again by inscribed angle theorem:

76° = 1/2(c° + 34°)

76° *2 = c° + 34°

152° - 34° = c°

c° = 118°

c = 118

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We are told that the two players, taken together, scored a total of 49 points. What is the probability that player A scored firs
mario62 [17]

Answer:

1/2 or 50% probability

Step-by-step explanation:

There are just two players, player A and player B. Since it is between this two players, for player A to score first we would have:

AB where player A is the first player to score, we wouldn't have BA since player would not be the first here

Probability = number of favorable outcomes/total number of outcomes

Therefore probability of A being the first player = number of A/total number of players

=1/2 = 0.50

There is therefore a 50% chance of A being the first player

7 0
2 years ago
The sum of two consecutive odd numbers is 284. Find each number please.
Vlad [161]
We can solve this by finding one of the numbers first
Let the smaller number be y. 
Since these 2 numbers are consecutive odd numbers, the larger number should be 2 more than the smaller one (y+2).

Therefore, 
y + (y+2) = 284
2y +2 = 284
shift +2 to the other side and turn it into -2
2y = 284 - 2
2y = 282
shift x2 to the other side and turn it into /2
y = 282/2
y = 141

Now we got the smaller number, which is 141, we can also find the larger number by adding 2 to it. 141+2 = 143, 
Therefore, your answer is 141 and 143

8 0
3 years ago
Read 2 more answers
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2x + 3y + 2(x - y) - 3x


First you apply the distributive property:

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The you combine like terms:

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3 years ago
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What is the slope of a line perpendicular to the line whose equation is
mezya [45]

Answer:

The slope of the other line is -4/5

Step-by-step explanation:

In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;

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The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept

Rewriting the equation we have;

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8y = 10x + 80

Now divide the through by 8

We have;

y = 10x/8 + 10

Thus, comparing with y = mx + c , our m here is 10/8

Now for the two lines to be perpendicular, the product of their slope would be equals to -1

Let’s say the slopes are m1 and m2

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3 years ago
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