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Eva8 [605]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

(3x + 20)° are vertical angles with (5x + 8)° meaning that they are the same

3x + 20 = 5x + 8

20 - 8 = 5x - 3x

12 = 2x

2x/2 = 12/2

x = 6

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Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = 7 divided by q and tan y° =
Andre45 [30]

Answer:

Cosy° = \frac{r}{q}

Step-by-step explanation:

From the picture attached,

By applying all trigonometric ratios in the given right triangle,

Siny° = \frac{7}{q} = \frac{\text{Opposite side}}{\text{Hypotenuse}}

tany° = \frac{7}{r} = \frac{\text{Opposite side}}{\text{Adjacent side}}

Therefore, Cosy° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

Cosy° = \frac{r}{q}

Therefore, Cosy° = \frac{r}{q} will be the answer.

5 0
4 years ago
Bad gums may mean a bad heart. Researchers discovered that 82% of people who have suffered a heart attack had periodontal diseas
saveliy_v [14]

Answer:

37.27% probability that he or she will have a heart attack.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Periodontal disease

Event B: Heart attack

Researchers discovered that 82% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums.

This means that P(A|B) = 0.82

Only 33% of healthy people have this disease.

This means that P(A) = 0.33

Suppose that in a certain community heart attacks are quite rare, occurring with only 15% probability.

This means that P(B) = 0.15

If someone has periodontal disease, what is the probability that he or she will have a heart attack

P(B|A) = \frac{0.15*0.82}{0.33} = 0.3727

37.27% probability that he or she will have a heart attack.

6 0
3 years ago
9e - 7 = 7e - 11<br> solve for e
prisoha [69]

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e - 11

Subtract 7e from both side

2e - 7 = -11

Add 7 to both sides

2e = -4

Divide by 2 to isolate e

e = - 2

4 0
2 years ago
Read 2 more answers
The answer of this question
Furkat [3]

Answer:

A≈380.13m² so B

Step-by-step explanation:

A=πr^2

Hope This Helps!       Have A Nice Day!!

3 0
3 years ago
Read 2 more answers
What is the Slope of x= -2
Vlad1618 [11]
The answer would be “undefined”

3 0
3 years ago
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