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2 years ago

IF l || m , find the values of x and y

Mathematics

1 answer:

egoroff_w [7]2 years ago

5 0

Answer:

x = 8

y = 21

Step-by-step explanation:

(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:

(7x + 12)° = (12x - 28)°

Solve for x

7x + 12 = 12x - 28

Collect like terms

7x - 12x = - 12 - 28

-5x = -40

Divide both sides by -5

-5x/-5 = -40/-5

x = 8

(12x - 28)° + (9y - 77)° = 180° (linear pair)

To find y, plug in the value for x = 8.

12(8) - 28 + 9y - 77 = 180

96 - 28 + 9y - 77 = 180

Combine like terms

- 9 + 9y = 180

Add 9 to both sides

-9 + 9y + 9 = 180 + 9

9y = 189

Divide both sides by 9

9y/9 = 189/9

y = 21

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There are over 2700 species of snakes in the world over 600 are venomous Express the fraction of species that are not venomous a

Andre45 [30]

You do 600 divided by 2700 and you end up with 22/100 or 0.22 as a decimal. So if 0.22 or 22/100 are venimous then 78/100 or 0.78 are non venimous. I understand its a bit confusing and i can simplify it for you but still I hope this helps :)

6 0

3 years ago

A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

scoray [572]

Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, $h$ , with 0 in the function, and solve for time $t$ :
$h=-16t^2+36$
$0=-16t^2+36$
$-36=-16t^2$
$t^2= \frac{-36}{-16}$
$t^2= \frac{9}{4}$
$t=(+/-) \sqrt{ \frac{9}{4} }$
$t=(+/-) \frac{3}{2}$
$t=(+/-)1.5$
Since time cannot be negative, the solution is $t=1.5$ seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that 2 seconds is not a reasonable answer to this model.

6 0

3 years ago

Read 2 more answers

Type the correct answer in the box. Round your answer to the thousandth place.

kupik [55]

Answer:

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

Accuracy of the test of emissions level = 85% = 0.85

2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?

These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)

Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

5 0

2 years ago

Read 2 more answers

What is 3x-10+2x+3x+x+20+2x+10+x-20

kodGreya [7K]

Answer:

12x

Explanation:

3x − 10 + 2x + 3x + x + 20 + 2x + 10 + x − 20

= 3x + −10 + 2x + 3x + x + 20 + 2x + 10 + x + −20

Combine Like Terms

= 3x + −10 + 2x + 3x + x + 20 + 2x + 10 + x + −20

= (3x + 2x + 3x + x + 2x + x) + (-10 + 20 + 10 + −20)

= 12x

5 0

2 years ago

Write the expression nine divided by the quantity of x plus y

seropon [69]

9514 1404 393

Answer:

$\text{A)}\quad\dfrac{9}{x+y}$

Step-by-step explanation:

In the English expression, you need to understand that "A divided by B" means that A is the numerator and B is the denominator of the fraction representing the division. Here, "B" is "the quantity of ...", which means that the stuff after "of ..." is to be treated as a single item, the denominator in this case. That item is "x plus y." So, the expression in math terms is ...

$\dfrac{9}{x+y}$

When this is written in plain text, the "quantity" is put in parentheses, because the fraction bar no longer serves as a grouping symbol:

9/(x+y)

These expressions match the first choice, A.

7 0

2 years ago