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Lady bird [3.3K]
3 years ago
12

Find the value of x.

Mathematics
2 answers:
erastovalidia [21]3 years ago
7 0

Answer:

60 = x

Step-by-step explanation:

180-144 = 36

36+84 = 120

180-120 = 60

NemiM [27]3 years ago
3 0

Answer:

Value of x is 60°.

Step-by-step explanation:

According to the theorum,

The exterior angle is equal to the sum of the opposite two interior angles.

Exterior angle is 144°. The interior angles are 84° and x°

\longrightarrow x° + 84° = 144°

\longrightarrow x° = 144° - 84°

\longrightarrow x° = 60°

Value of x is 60°.

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|3x-4|+5<27 how do you work this?
RUDIKE [14]
You first make your -4 positive because those brackets represent absolute value , so everything between those brackets has to be positive .now that the four positive you can now multiply 4 x 3 which equals 12 , now add 12 + 5 which equals 17 , so 17 is less than 27 (17<27)
6 0
4 years ago
A chemist recorded the change in temperature of a cooling liquid as negative 25.5 Fahrenheit over a 1.5 minute. The temperature
Novosadov [1.4K]

<u>Answer:</u>

-17°F

<u>Step-by-step explanation:</u>

Rate of change is the rate which tells how one quantity changes in relation to another quantity. It is also known as the slope.

To find the rate of change in the temperature, we can use this formula:

Rate of change = \frac{change in temperature}{change in time}

Rate of change  = \frac{-25.5}{1.5}

Rate of change  = -17

Therefore, the temperature changes by -17°F per minute where the negative sign indicates the drop in temperature per minute.


7 0
4 years ago
Construct a scatter plot of the following given information showing the amount of time students spend doing homework per week an
tankabanditka [31]

Answer:  

Please look at the graph attached to find the x axis and y axis...

a) it has a postive association (becuase of the increment of the trendline)

b) it is linear becuase it is increased from the 0 value and up)

c) there is a outlier in the graph as you can see about four hours the GPA increased by 3.2 then back to 2.5

Hope this helps!!!

6 0
3 years ago
Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
MAXImum [283]

72 minutes

We require their hourly rate of work

Maria cleans \frac{1}{2} the house in 1 hour

Sasha cleans \frac{1}{3} of the house in 1 hour

let x be the time it takes both to clean the house

\frac{1}{2} + \frac{1}{3} = \frac{1}{x}

multiply through by 6x

3x + 2x = 6

5x = 6 ⇒ x = \frac{6}{5}

Together they can clean the house in 72 minutes






6 0
3 years ago
1. Using the formula for the probability of one event or another event, calculate the probability of drawing a card from a stand
ddd [48]
A standard deck has 52 cards.
A standard deck has 4 jacks.
A standard deck has 13 clubs.

From this, we can derive the following:
The probability of drawing a jack is 4/52 or 1/13
The probability of drawing a club is 13/52 or 1/4

But since the problem asks for drawing jack or club, therefore we should add the 2 probabilities, making 17/52. This is not the final answer yet. We know that there is a jack of clubs, therefore we need to subtract 1 from the probabilities since jack of clubs were considered in the 2 categories of probability.

With that being said, the probability of drawing a club or a jack is 16/52 or 4/13

Bonus Question:

The first thing you need to do here is find the probability of each scenario. First let's do what is given, the probability of drawing 2 aces. Since there are 4 aces in a deck of 52, we can easily say that the probability of drawing an ace is 4/52. However for our second draw, the probability of drawing a different ace is 3/51. This is so since we already drew a card that is an ace, hence we need to subtract one from the total aces (4-1) and from the total cards in the deck (52-1). In getting the probability of drawing two aces, we need to multiply the said probabilities: 4/52 and 3/51, resulting to 1/221.

For the second scenario, the drawing of 2 red cards, we just use the same concept but in this, we are already considering the 2 red cards in the first scenario, therefore the chance of drawing a red on our first draw is 24/52. For our second, we just need to subtract one card, therefore 23/51. Multiply these two and we will get 46/221.

Now, the problem asks for the chance of drawing either 2 reds or 2 aces, therefore we add the probabilities of the 2 scenarios:
46/222 + 1/221 = 47/221

Summary:
First Scenario:
4/52 + 3/51 = 1/221
Second Scenario:
24/52 + 23/51 = 46/221
Chances of drawing 2 red cards or 2 aces:
1/221 + 46/221 = 47/221
7 0
3 years ago
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