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3 years ago

Determine which postulate can be used

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Answer:

SAS postulate

Step-by-step explanation:

The triangles have two congruent sides and one congruent angle. The congruent angle is the included angle. This meets SAS criteria.

Hope this helps :-)

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In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha

siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95, P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

$P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043$

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

8 0

4 years ago

If UV=x+13 and RT=x-37, What is the value of x?

liberstina [14]

Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87

3 0

4 years ago

Help thanksSSSSSSSSSS

Setler79 [48]

Answer:

$\boxed{\sf{x=24}}$

Step-by-step explanation:

GIVEN:

To find the missing number in the proportion, you have to isolate it the term of x from one side of the equation.

$\sf{\dfrac{8}{7}=\dfrac{x}{21} }$

First, thing you do is switch sides.

$\sf{\dfrac{x}{21}=\dfrac{8}{7} }$

Multiply by 21 from both sides.

$\Longrightarrow: \sf{\dfrac{21x}{21}=\dfrac{8*21}{7} }$

Solve.

Multiply the numbers from left to right.

Use the order of operations.

PEMDAS stands for:

Parentheses
Exponents
Multiply
Divide
Add
Subtract

$\Longrightarrow: \sf{\dfrac{8*21}{7}=\dfrac{168}{7}=24 }$

$\Longrightarrow: \boxed{\sf{x=24}}$

Therefore, the final answer is x=24.

I hope this helps. Let me know if you have any questions.

3 0

2 years ago

Help!1!1!

Anna007 [38]

Answer: 1y=-2-3x

4x+3(-2-3x) =24----4x-6-6x=24---4x-6x=24+6---;-2x=30----x=30/-2---x=-15

5 0

3 years ago

Please help!!!!!!!!!!!!

MAXImum [283]

Answer:

When used as a diacritic mark, the term dot is usually reserved for the interpunct, or to the glyphs 'combining dot above' and 'combining dot below' which may be combined with some letters of the extended Latin alphabets in use in Central European languages and Vietnamese.

Step-by-step explanation:

6 0

3 years ago