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3 years ago

In the figure above abc is a square .. what is the value of x?

Mathematics

1 answer:

Len [333]3 years ago

4 0

If ABCD is a square, then m∠A = 90°.

Therefore we have the equation:

30° + 48° + x° = 90°

78° + x° = 90° |-78°

x° = 12°

Answer: 12

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What is the value of x in the triangle?

yulyashka [42]

<h3>Answer: C) x = 13</h3>

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Work Shown:

We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.

Use the pythagorean theorem to find x.

a^2 + b^2 = c^2

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x^2 = 169

x = sqrt(169) .... apply the square root to both sides

x = 13

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3 years ago

Solve the given equation. State the number and type of roots. x² + 3x- 4

sesenic [268]

Answer:

x=1, x=-4

Two distinct real roots

Step-by-step explanation:

x² + 3x- 4 = (x - 1)(x + 4)

x=1, x=-4

Two distinct real roots

4 0

2 years ago

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The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

svp [43]

Answer:

Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.

3 0

3 years ago

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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

xxMikexx [17]

Answer:

0.3009 is the probability that the applicant has graduate degree given he is a male.

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

$n(M) = 206$

Number of applicants that are male and have a graduate degree = 62

$n(M\cap G) = 62$

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(M) = \dfrac{206}{450} = 0.4578$

$P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378$

We have to find the probability that the applicant has graduate degree given he is a male.

$P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009$

Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.

5 0

2 years ago

Please Help me ASAP

pychu [463]

Answer:

it's 6

Step-by-step explanation:

B=7 and D=13, so 13-7= 6

3 0

2 years ago