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3 years ago

Find the value of x using properties of parallel lines. answers: A) 1 B) 8 C) 5 D) 3.5

Mathematics

2 answers:

pashok25 [27]3 years ago

7 0

Answer:

Step-by-step explanation:

ANEK [815]3 years ago

7 0

Answer:

B. x=8

Step-by-step explanation:

The 2 angles are consecutive interior angles, and therefore they are supplementary. This means that they add to 180 degrees.

(12x+8)+(8x+12)=180

Combine like terms. Add all the terms with a variable, then the terms without a variable.

(12x+8x)+(8+12)=180

20x+20=180

Now, solve for x by isolating x. Perform the inverse operation to both sides.

20 is being added to 20x. The inverse of addition is subtraction. Subtract 20 from both sides.

20x+20=180-20

20x=180-20

20x=160

x is being multiplied by 20. The inverse of multiplication is division. Divide both sides by 20.

20x/20=160/20

x=160/20

x=8

x is equal to 8, and B is the correct answer.

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SCORPION-xisa [38]

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3 years ago

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If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a yea

Natasha2012 [34]

Answer:

$P(Atleast\ 1) = 0.9999992$

Step-by-step explanation:

Given

$p = 3\%$ --- rate of hard disk drives failure

$n = 4$ --- number of hard disk drives

See comment for complete question

Required

$P(Atleast\ 1)$

First, calculate the probability that the none of the 4 selected is working;

$P(none) = p^4$

$P(none) = (3\%)^4$

$P(none) = (0.03)^4$

Using the complement rule, the probability that at least 1 is working is:

$P(Atleast\ 1) = 1 - P(none)$

This gives:

$P(Atleast\ 1) = 1 - 0.03^4$

$P(Atleast\ 1) = 0.9999992$

5 0

3 years ago

Two cyclists leave towns 253 kilometers apart at the same time and travel towards each other. One cyclist travels 5km/h faster t

Sladkaya [172]

Answer:

The rate of the slower cyclist is

$22\frac{4}{5}km/h$

and that of the faster cyclist is

$27 \frac{4}{5}km/h$

Step-by-step explanation:

We let x be the rate of the slower cyclist

$rate \times time = distance$

From the question, the distance between the two towns is 253 and the time taken for the two cyclist to meet is 5 hours

so we can write the equation

$5x + 5(x + 5) = 253$

We simplify to get the value for x

$\implies5x + 5x + 25 = 253$

$\implies10x = 253 - 25$

$\implies10x = 228$

$\implies x =22 \frac{4}{5}$

Hence the rate of the slower cyclist is

$22 \frac{4}{5} km/h$

and that of the rate faster cyclist is

$27 \frac{4}{5}km/h$

5 0

3 years ago

I need help with this problem!

DanielleElmas [232]

Answer:

The answer to your question is:

Step-by-step explanation:

Data

B = 70°

c = 14

Process

sin Ф = b / c

b = c sinФ

b = 14 sin 70

b = 14 x 0.94

b = 13.16

cos Ф = a/c

a = c x cos Ф

a = 14 cos 70

a = 14 x 0.34

a = 4.76

C = 90° it is a right angle

A = 180 - 90 - 70

A = 180 - 160

A = 20°

3 0

3 years ago

Lines a and b are parallel. What is the value of x? 1) 15 2) 16 3) 56 4) 64

omeli [17]

Answer:

2) 16

Step-by-step explanation:

180 - 124 = 56

180 - 56 - 60 = 64

64 ÷ 4 = 16

x = 16

6 0

3 years ago