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soldier1979 [14.2K]

3 years ago

10

In the diagram below, AB is parallel to CD. What is the value of x?

2 answers:

garik1379 [7]3 years ago

8 0

The correct answer is: Option (D) x = 72°

Explanation:

When two lines are crossed by another line, the angles in matching corners are called <em>corresponding angles</em>. When the two lines are <em>parallel</em>, the corresponding angles are <em>equal</em>.

Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, <em>the corresponding angles will be the same</em>.

Since the first corresponding angle is 72°, the second angle <em>x </em>will be 72° as well. The correct answer is: x = 72° Option (D).

Charra [1.4K]3 years ago

4 0

In the diagram below, AB is parallel to CD. What is the value of x?

Answer: 72!

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The cost of a week long vacation in a city has a mean of 1000 and a variance of 1200. The city imposes a tax which will raise al

matrenka [14]

Answer:

The coefficient of variation after the tax is imposed is 0.033

Step-by-step explanation:

Given

$\mu =1000$ --- mean

$\sigma^2 = 1200$ --- variance

$tax = 10\%$

Required

The coefficient of variation

The coefficient of variation is calculated using:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

After the tax, the new mean is:

$\mu_{new} = \mu * (1 + tax)$

$\mu_{new} = 1000 * (1 + 10\%)$

$\mu_{new} = 1100$

And the new variance is:

$\sigma^2_{new} = \sigma^2 * (1 + tax)$

$\sigma^2_{new} = 1200 * (1 + 10\%)$

$\sigma^2_{new} = 1320$

So, we have:

$CV = \frac{\sqrt{\sigma^2}}{\mu}$

$CV = \frac{\sqrt{1320}}{1100}$

$CV = \frac{36.33}{1100}$

$CV = 0.033$

6 0

3 years ago

zzz [600]

Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.

[23] ABD = 42°, DBC = 35°

(4x - 2) + (3x + 2) = 77°

4x+ 3x + 2 - 2 = 77°

4x+ 3x= 77°

7x= 77°

x= 11°

-

ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°

DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°

[24] ABD = 62°, DBC = 78°

(4x - 8) + (4x + 8) = 140°

4x + 4x + 8 - 8 = 140°

4x + 4x = 140°

8x = 140°

8x = 140°

x = 17.5°

-

ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°

DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%201%7D%7B2x%20-%201%7D%20%20-%20%20%5Cfrac%7Bx%20-%201%7D%7B2x%20%2B%201%

lubasha [3.4K]

x=0

because you must

determine the undefined range

write all numerators above the common denomonator

multiply the parenthesis

collect the alike terms

remove parenthesis

eliminate the opposites collect the like terms

set the numerator equal to 0

divide both sides by 6

check if thesolution is the defined range

if so then you would find your answer X=0

8 0

3 years ago

Please help me with this question from my homework: (Answers in English please :) In the figure, m<1=7x+8, m<2=4x+11, and

BigorU [14]

Answer:

54.896

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Kathy distributes jelly beans among her friends. Alia gets 4^2 fewer jelly beans than Kelly, who gets 3^3 jelly beans. How many

DochEvi [55]

"Alia gets 4^2 fewer than Kelly, who gets 3^3."

So it's about a subtraction.

$\boxed{3^3-4^2}$

Hope this helps.

r3t40

6 0

3 years ago

Read 2 more answers