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2 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x.

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer:

this one is supplementary and x equals 31

Step-by-step explanation:

Remember, complementary angles add up to equal 90 degrees whereas supplementary angles add up to equal 180 degrees.

In this case, since your angles together form a straight line, they're supplementary angles. Now, to solve for x:

(3x + 25) + 2x = 180 (step 1: set the equation equal to 180)

5x + 25 = 180 (step 2: combine like terms)

-25 -25 (step 3: subtrace 25, BS)

5x = 155

5x / 5 = 155 / 5 (step 4: divide by 5, BS to get x by itself)

x = 31

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3 years ago

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3 years ago

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Suppose you have the following information. 12% of all drivers do not have a valid driver’s license, 6% of all drivers have no i

lubasha [3.4K]

Answer:

e) 0.14

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a driver does not have a valid driver's license.

B is the probability that a driver does not have insurance.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a driver does not have a valid driver's license but has insurance and $A \cap B$ is the probability that a driver does not have any of these things.

By the same logic, we have that:

$B = b + (A \cap B)$

We start finding these values from the intersection.

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This means that $B = 0.06$ . So

$B = b + (A \cap B)$

$0.06 = b + 0.04$

$b = 0.02$

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This means that $A = 0.12$

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So the correct answer is:

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3 years ago