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3 years ago

Find the value of x in the triangle shown below.

Mathematics

2 answers:

neonofarm [45]3 years ago

6 0

Answer:

The answer is 25°.

Step-by-step explanation:

simply,

here, a triangle of measure 99° and 56° is given.

now, we have;

99°+56+ x= 180° ( sum of an interior angle of a triangle is 180°)

or, 155°+x= 180°

or, x= 180°-155°

therefore, the value of x is 25°.

hope it helps..

DochEvi [55]3 years ago

3 0

Answer: x=25

Step-by-step explanation: There are 180 degrees in a triangle. Two of the angles (56 and 99) add up to 155. The last angle, which is x, is 180-155. Therefore, x is 25.

hope this helped you:)

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In a class 27 of students, 12 have a cat and 11 have a dog. There are 5 students who have a cat and a dog. What is the probabili

frosja888 [35]

Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

12 of 27 students have a cat:

This means that $P(A) = \frac{12}{27}$

5 students who have a cat and a dog.

This means that $P(A \cap B) = \frac{5}{27}$

What is the probability that a student has a dog given that they have a cat?

$P(B|A) = \frac{\frac{5}{27}}{\frac{12}{27}} = \frac{5}{12} = 0.4167$

41.67% probability that a student has a dog given that they have a cat

6 0

4 years ago

Simplify Ratios 63 to 21

tatiyna

$63:21=3:1$

Hope this helps.

r3t40

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4 years ago

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An oil drilling company drills the same distance each day for 5 days. They started at an elevation of 121.175 feet and ended at

nirvana33 [79]

Answer:

$x=\dfrac{|-246.875-121.175|}{5}$

Step-by-step explanation:

Given that:

Same distance is drilled by the oil drilling company for 5 days.

Initial elevation = 121.175 feet

Final elevation = -246.875 feet

To find:

The equation to find the value of $x$ i.e. the distance drilled each day?

Solution:

To find the distance drilled each day, we need to divide the total distance drilled with the number of days taken to drill the total distance.

Total distance drilled can be found by subtracting the initial elevation from the final elevation and taking modulus because distance can not be negative.

Total distance drilled = | Final elevation - Initial elevation |

Total distance drilled = | -246.875 - 121.175 |

Therefore, we can write the expression as:

$x=\dfrac{|-246.875-121.175|}{5}$

$\Rightarrow x=\dfrac{|-368.05 |}{5} =73.61\ ft/day$

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Archy [21]

Replace x with 3 and solve:

10 x 5^3

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