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3 years ago

Find the value of x in the triangle shown below

Mathematics

1 answer:

Keith_Richards [23]3 years ago

7 0

Answer:

x = 50

Step-by-step explanation:

Since the 2 legs are congruent, both 7, then the triangle is isosceles and the 2 base angles are congruent, then

x = $\frac{180-80}{2}$ = $\frac{100}{2}$ = 50

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The company can’t sell the sofa after 3 weeks so they reduce the price to $320. What is the percent decrease?

cluponka [151]

Answer:

Ooofy

Step-by-step explanation:

Oof x oof = oof

5 0

4 years ago

Of the 10 people attending a seminar, 5 have gray hair.

Sliva [168]

Answer:

1/2

Step-by-step explanation:

So we know that there is a total of 10 people.

5 of these have grey hair.

To find the chances of a somone having grey hair, we need to divide people with grey hair over total people:

$\frac{value}{total} =probability$

This is the same division we use to find things such as percentage and ratio as well.

Now lets plug in our numbers and solve:

$\frac{5}{10}=\frac{1}{2}$

So half of the people have grey hair.

Or(in percentage):

The probability is 50% that someone will have grey hair.

Hope this hepls!

8 0

3 years ago

Read 2 more answers

What is the median of 45,50,47,52,53,45,51

Gnom [1K]

First you have to put them in numerical order.The median is the middle number so the answer would be 52.

6 0

4 years ago

Read 2 more answers

Nick prepared 24 kilograms of dough after working 6 hours. How much dough did Nick prepare if he worked for 10 hours? Assume the

Katyanochek1 [597]

40kg of dough

Step-by-step explanation:

24 kg dough...........................6 hours

? dough.........................10 hours

x=(24*10)/6=240/6=40

6 0

3 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

oksian1 [2.3K]

Answer: The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)= $\dfrac{1}{4}=0.25$

You win $6; if the faces are both heads

then P(Y=6)=P(HH)= $\dfrac{1}{4}=0.25$

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)= $\dfrac{2}{4}=0.50$

The expected value to win : E(Y)= $\sum_{i=1}^{i=3} y_ip(y_1)$

$=1\times0.25+6\times0.25+(-3)\times0.50=0.25$

Hence, the mean of Y : E(Y)= $0.25

$E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25$

Variance = $E[Y^2]-E(Y)^2$

$=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19$

Hence, variance of Y = $ 6.19

6 0

4 years ago