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Sphinxa [80]
2 years ago
15

If m∠ADB=(6x−4)° and m∠BDC=(4x+24)°, find the value of x such that ∠ADC is a right angle.

Mathematics
1 answer:
spayn [35]2 years ago
8 0

To make ∠ADC is a right angle, value of x will be 7.

From given figure, it is observed that Angle ADC is combination of two angles ADB and BDC.

                ∠ADC=∠ADB+∠BDC

Since, ∠ADC is right angle.

 So,  ∠ADC=90 degree

       90=∠ADB+∠BDC

     6x-4+4x+24=90\\     10x+20=90\\      10x=70\\       x=7

Learn more:

brainly.com/question/20158593

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Jill borrows a pencil and returns it after the Warm Up. She then borrows a different pencil to show work on her CFA.  The proba
mestny [16]

Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

<h3>How to calculate the probability</h3>

Represent the events as follows:

  • A represents mechanical pencil
  • B represents wooden pencil
  • C represents colored pencil

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

Read more about probabilities at:

brainly.com/question/9385303

4 0
3 years ago
How can you use the measures of center and the range to compare two populations?
DochEvi [55]

The measure of center and range to be used to compare the population is the median and the inter quartile range.

<u>Explanation:</u>

You utilize the median and the interquartile range (IQR) to portray skewed distributions of information. To look at two populaces, utilize the mean and the MAD when the two populations are symmetric. Utilize the middle and the IQR when possibly one or the two circulations are slanted.

In statistics and probability theory, the median is the worth isolating the higher half from the lower half of an information test, a populace or a likelihood circulation. For an informational collection, it might be thought of as the "center" esteem.

8 0
3 years ago
Whats 25 ÷ 5 and 45 ÷ 9
Murljashka [212]
25 divided by 5 is 5, 45 divided by 9 is 5
4 0
3 years ago
Three sisters have ages that are consecutive odd integers. The sum of their ages is 57. Find the age of each sister. You must in
Oxana [17]

Answer:

17, 19 and 21

Step-by-step explanation:

Consecutive odd numbers mean odd numbers that are right next to each other.

Eg: 3, 5, 7

Let x represent the youngest sister. The sister older than her will be 2 years older than her, hence (2 + x). The oldest sister would be 4 years older than the youngest and two years older than the middle sister, hence (4 + x).

The sum of their age = 57.

Hence:

x + (2 + x) + (4 + x) = 57

x + 2 + x + 4 + x = 57

Simplify

3x + 6 = 57

Rearrange

3x = 57 - 6

3x = 51

Divide both sides by 3 to make x on its own (this way we can find the age of the youngest sister).

x = 17 (youngest sister is 17 years old)

x + 2 = 19 (middle sister is 19 years old)

x + 4 = 21 (oldest sister is 21 years old)

4 0
3 years ago
Hank merrill takes scrap aluminum to the recycling center during summer vacation. the recycling center pays $0.14 per pound. how
Len [333]
$3.78

because he is paid $0.14 per pound, if he brings 27 pounds it is

=0.14 x 27
=3.78
3 0
4 years ago
Read 2 more answers
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