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Debora [2.8K]
3 years ago
8

Find the value of x in each case:

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FEB and ∠ DEB are adjacent angles and supplementary, thus

∠ FEB = 180 - 4x , so

180 - 4x + x = 147, that is

180 - 3x = 147 ( subtract 180 from both sides )

- 3x = - 33 ( divide both sides by - 3 )

x = 11

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Jill has 12 books. She thinks that if she gives away 4 books, she will have 8 books left. Which addition sentence can she use to
laila [671]

Answer:

8+4

Step-by-step explanation:

8 0
2 years ago
Hannah has a biased coin.
muminat
Look at it this way:

When you flip a coin, the probability of it landing with EITHER side showing
is 100%. 

This leads us to the rule ...

               The sum of the probabilities of
               all possible outcomes is 100%.

For a coin:  (probability of heads) plus (probability of tails) = 100%.

That just says:  We're 100% sure that the coin will land with either
heads or tails up.

An "honest" coin gets heads 50% of the time and tails the other 50%.

But if the coin is all bent and squashed and has a feather stuck to
one side and a wad of gum on the other side so that it comes up
heads 70% of the time, then the coin isn't 'honest'.  But it still has to
land EITHER heads OR tails, so the sum of the probabilities is still 100%.

So the probability of heads is 30%.
7 0
3 years ago
Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had
netineya [11]

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

7 0
3 years ago
Mario and Luigi have friends. They want to purchase some extra controllers. Each controller costs $29.99.
jonny [76]
An algebraic expression is a phrase in mathematics that consists of numbers such as 1,2,3 and the like, variables which are represented with letters and operations like addition, multiplication, subtraction and division. It is usually used to represent a certain situation which would relate the variables involved. To write the algebraic expression for the problem statement above, we do as follows:

Let x = number of consoles to be bought
      y = number of games to be bought
      z = number of controllers to bebought
     C = total cost of all

The total cost would be equal to the sum of the price multiplied by the number of consoles, games and controllers bought. We write the algebraic expression as follows,

C = 299x + 59.99y + 29.99z
4 0
3 years ago
Answer asap! will give brainliest! question is in pic
lana [24]

Answer:

UW=14

Step-by-step explanation:

First we know that UV+VW=UW, so:

4+x+10=2x+14

Solve for x first:

x+10=2x+10

10=x+10

x=0

Then, substitute the X

2(0+14)=14=UW

To check your answer, substitute and add UV and VW

4+(0)+10

14

<em>Hope this helped! Have a good day!</em>

4 0
3 years ago
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