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Brrunno [24]
3 years ago
12

What is the measure of angle 7?

Mathematics
1 answer:
melamori03 [73]3 years ago
6 0

Answer:

∠7 = 95°

Step-by-step explanation:

∠1 and ∠4 are vertical angles so they are equal.

so:

3x + 10 = 4x - 15

simplify:

x = 25°

∠4 = 4(25) - 15 = 85°

∠8 = ∠4 because they are corresponding angles

∠7 = 180° - 85° = 95° because they are supplementary angles (add together to = 180°)

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A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the d
Sergio [31]

Solution :

It is given that :

P (positive | Has disease) = 0.7

P (positive | No disease) = 0.08

P (has disease) = 0.18

P (No disease) = 1 - 0.18

                        = 0.82

Now if test administered to the individual is positive, the probability that the person actually have the disease is

P (Has disease | positive)  $=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$  ......(1)

The P(positive) is,

$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$

                = P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)

                 = 0.7 (0.19) + 0.04 (0.81)

                = 0.1654

Now substituting the values in the equation (1), we get

P (Has disease | positive)  $=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$  

                                           $=\frac{0.7(0.19)}{0.1654}$

                                          = 0.8041  

5 0
3 years ago
100 POINTSSS!!!!!!!!!!!!!which of these numbers are irrational?
Eva8 [605]

Answer:

Sorry don't know full answer but I know this: In mathematics, an irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. Therefore, irrational numbers, when written as decimal numbers, do not terminate, nor do they repeat.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the area of the trapezoid. Leave your answer in simplest radical form.
Zanzabum

Answer:

A)94.5 cm

Step-by-step explanation:

height = 9cm

Base 1 = 5cm

Area of a Trapezoid = 1/2 × (b1 + b2)h

h = 9cm

b1 = 5cm

b2 = (9 cm + 5cm + 2cm) = 16cm.

Area of Trapezoid

= 1/2 (5 + 16) × 9

= 1/2 × 21 × 9

= 94.5 cm

Option A is the correct answer

8 0
3 years ago
Bryanna is thinking of two numbers. Their sum is −7. One of the numbers is 11. Write an
Kryger [21]

Answer:

-18 is the answer please brainlist

Step-by-step explanation:

6 0
3 years ago
What is 1/4 subtract 1 and 1/2 A. 1/2 B. 1/8 C. 3/4 D. 3/8
Lelu [443]

Answer:

-1 1/4

Step-by-step explanation:

1/4 - (1 1/2)

Get a common denominator

1/4 - 1 2/4

Take the larger number and subtract the smaller number and take the sign of the larger

1 2/4 - 1/4 = 1 1/4

The sign of the larger was negative

-1 1/4

3 0
3 years ago
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