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3 years ago

In a triangle, the measures of the three angles are x, x + 12 , and x-9. What is the measure of each angle?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

Answer:

x+(x+12)+(x-9)=180

3x+12-9=180

3x=180-3

3x=177

x=177/3

x=59

Each angle is 59°, 71° and 500°

ExtremeBDS [4]3 years ago

7 0

X + x + 12 + x - 9 = 180
3x = 180 - 12 + 9
3x = 168 + 9
3x = 177
x = 59 degrees

Angle 1 = 59 degrees
Angle 2 = 59 + 12 = 71 degrees
Angle 3 = 59 - 9 = 50 degrees

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Oi lend a hand here? Math isn't my thing :P

Leni [432]

x is less than or equal to 5, really simple

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3 years ago

Read 2 more answers

A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

There are 10 containers, so $n = 10$ .

A food-packaging apparatus underfills 10% of the containers, so $p = 0.1$ .

a) This is P(X = 1)

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

b) This is P(X = 3)

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

c) This is P(X = 9)

$P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000$

d) This is $P(X \geq 5)$ .

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

$P(X < 5) + P(X \geq 5) = 1$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868$

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937$

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

$P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837$

Finally

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163$

3 0

3 years ago

Anyone Know This Answer ASAP ?

Luda [366]

multiply 35 by tan(42)

this equals 31.5141

rounded to 31.51

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3 years ago

Angle P is an acute angle.

TEA [102]

A acute angle is always less than 90 degrees. So the answer is A.

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3 years ago

4-d= -(d -4 ) -no solution infinitely many solutions -one solutions -two solutions

a_sh-v [17]

Answer: infinite solutions

Step-by-step explanation: any value of d makes the equation true. By simplifying the right side, we get -d + 4, which is the same as 4 - d, so we essentially get 4 - d = 4 - d.

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3 years ago

In a​ triangle, the measures of the three angles are​ x, x + 12 ​, and x-9. What is the measure of each​ angle?

In a triangle, the measures of the three angles are x, x + 12 , and x-9. What is the measure of each angle?