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2 years ago

I need to know how the solve the answers below

Mathematics

1 answer:

FrozenT [24]2 years ago

7 0

S is given as 58 degrees.

There are 180 degrees in a triangle. Using this you know that S + T + TUS = 180

T is given as 5x + 10

TUS can be defined as TUS + AUT = 180, or TUS = 180 - AUT

AUT is given as 11x + 2

Plug everything into the first equation to give you 58 + (5x + 10) + (180 - (11x + 2)) = 180

Solve for x, and be careful with the negative in front of (11x+2)

58 + 10 + 180 - 2 + 5x - 11x = 180

-6x = -66
x = 11

Plug x back into the equations for AUT and T to get your final answers.

AUT = 11(11) + 2 = 123 degrees
S = 58 degrees
T = 5(11) + 10 = 65 degrees
TUS = 180 - AUT = 180 - 123 = 57 degrees

You can check your answer by making sure
S + T + TUS = 180, which it does.

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What's the answer to this math problem

GarryVolchara [31]

Total number of marbles:
75 + 50 + 100 + 25 = 250

Probability of selecting a red marble:
25/250 (since 25 out of 250 marbles are red)
Since the top and bottom of this fraction are both divisible by 25, we can go ahead and divide them both by 25, simplifying to 1/10.

Probability of selecting a green marble:
50/250
Simplifies to 2/10
Simplifies to 1/5.

Probability of selecting a blue or orange marble
(75+100)/250
175/250
Simplifies to 7/10.

To find the probability that each event occurs in order, simply multiply them all together.

$\frac{1}{10}\times\frac{1}{5}\times\frac{7}{10}=\frac{1\times1\times7}{10\times5\times10}=\boxed{\frac{7}{500}}$

4 0

3 years ago

Read 2 more answers

A student gets paid to deliver newspapers after school. She earns 25$ a day, plus an extra $0.75 for each newspaper she delivers

disa [49]

Earnings = 25d + 0.75n + 5c

6 0

2 years ago

There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

4 0

3 years ago

Do the following side lengths form a triangle?<br><br> 6, 18, 14

iren2701 [21]

Answer:

Yes

Step-by-step explanation:

Conditions for the sides to form a triangle is that sum of any two sides should be greater than the third side.

6 + 18 = 24

24 > 14

18 + 14 = 32

32 > 6

6 + 14 = 20

20 > 18

Therefore,

sides 6, 18 and 14 forms a triangle.

5 0

2 years ago

What is the value of the expression?

mr Goodwill [35]

Answer: B.792

Step-by-step explanation:

5 0

2 years ago