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4 years ago

Identity each pair of angles

Mathematics

2 answers:

ElenaW [278]4 years ago

5 0

Do you have a protractor? You’ll need one measure the angles.

daser333 [38]4 years ago

3 0

Answer:

∠x and ∠y are a pair CORRESPONDING ANGLES.

Step-by-step explanation:

Corresponding Angles: The angles formed on a same side of traversal when it passes through two parallel lines is called corresponding angles.

Corresponding angles are non- adjacent in nature

Also they are congruent to each other as they lie between the same parallel lines.

Here, ∠x and ∠y are a pair of CORRESPONDING ANGLES.

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4) Which graph represents a function?

maxonik [38]

Answer:

Step-by-step explanation:

The other graphs do not pass the vertical line test (if you draw a vertical line through the line graphed, it should pass through once), but graph c does pass the test.

4 0

3 years ago

According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that m

tekilochka [14]

Answer:

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

Step-by-step explanation:

Conditional Probability

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: Has diabetes.

Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

So the probability of developing diabetes is:

x of 4/5 = x of 0.8(not active)

x/4 = 0.25x of 1/5 = 0.2(very active). So

$P(A) = 0.8x + 0.25*0.2x = 0.85x$

Probability of developing diabetes while being very active:

0.25x of 0.2. So

$P(A \cap B) = 0.25x*0.2 = 0.05x$

What is the probability that a middle-aged man with diabetes is very active?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588$

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

4 0

3 years ago

If cos θ =-2/5 and tan θ > 0, what is the value of sin θ?

dezoksy [38]

If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (θ) is based in the tan quadrant.

We know that cos(θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...

Adjacent² + Opposite² = Hypotenuse²

Therefore:

2² + Opposite² = 5²

Opposite² = 5² - 2²

Opposite² = 21

Opposite = √(21)

------------

Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(θ) = Opposite / Hypotenuse, therefore:

sin(θ) = - [√(21)]/[5]

8 0

3 years ago

6 meters to 60 centimeters

LekaFEV [45]

1 meter is 100cm. So 6 meters would be 600 centimeters.

4 0

4 years ago

The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC

Goryan [66]

I'm not totally sure, but just doing it in my head:
BC = 15 cm
AB = 12.5 cm

and it's spelled "equilateral" for future reference :)

Sorry, here's the explanation:

So, start with triangle ABC. You know that an isosceles triangle has a base, and two equal sides. This means that once you subtract the side BC from the perimeter, you have the length of the other two equal sides combined meaning that if you divide that by 2, you will have the length of one of the equal sides, AB for example. Moving to the equilateral triangle, BCD. You know that with equilateral triangles, all sides are equal. The perimeter is 45, and because equilateral triangles have 3 equal sides, you divide 45 by 3, getting 15. Here it might help to draw a picture, but BC is one of the sides of your equilateral triangle meaning that BC is equal to 15. Then you move back to ABC. Remember what we said before, that once you subtract BC from ABC you get the sum of the other two equal sides. So, 40 - 15 is 25. Then, because there are two equal sides, you divide 25 by 2, getting 12.5 and that's the length of your other two side, AB and AC.

5 0

3 years ago