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tino4ka555 [31]
3 years ago
8

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right

angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10.
What is the value of x?

a. 2 units
b. 3 units
c. 5 units
d. 8 units
Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

C. - X = 5 units

Step-by-step explanation:

We need to solve for x from the given figure.

In ΔADB and ΔCDB

 ∠ABD=∠BCD         (Corresponding angle of two right triangle)

 ∠ADB=∠CDB         (Each 90°)

∴  ΔADB ≈ ΔCDB  By AA similarity

If two triangles are similar then ratio of their corresponding height are same.

Substitute the value of side into the expression

Cross multiply and solve for x

x can't be negative because side of triangle is positive.

Hence, The value of x is 5 units.

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<h3>How to illustrate the information?</h3>

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<u>Complete question:</u>

What are the domain and range of the function below?

A) Domain: (-∞, -5)

Range: (5, ∞)

B) Domain: (-5, -10)

Range: (5, 10)

C). Domain: (-5, 10)

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Range: (-∞, ∞)

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A container holds 50 electronic components, of which 10 are defective.
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Answer:

There is some inforrmation that is missing in this question. It should read:

A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is . If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is .

Answers

Part 1.   0.02

Part 2.  0.0375

Explanation

The probability is a chance of an event happening. It is calculated as;

probability = (Number of favourable outcome)/(Number of available outcome)

Part 1

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P(at least 4 are not defective) = 4/40 × 2/10

                                               = 1/10 ×1/5

                                               = 1/50

                                                = 0.02

Part 2

8 are chosen at random. If 3 are defective, the 5 are not defective.  

P(3 are defective) = 3/40 × 5/10  

                            = 15/400

                            = 3/80

                           = 0.0375

Step-by-step explanation:

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