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Musya8 [376]
3 years ago
14

Find the value of x in the triangle in the picture.

Mathematics
2 answers:
labwork [276]3 years ago
7 0

Answer:

x = 33

Step-by-step explanation:

since the sum of interior angles of a triangle is 180 so simply add the given angles and make it equal to 180 degrees

x + 114 + 33 = 180

x + 147 = 180

x = 180 - 147

x = 33

to check whether the above value of x is correct simply just put the above value of x in

x + 114 + 33 = 180

33 + 114 + 33 = 180

180 = 180

since both sides are equal so that means the above value of x is correct

Flauer [41]3 years ago
4 0

Answer:

X equals 33 degrees

Step-by-step explanation:

Every triangle equals a total of 180 degrees. If you add 114 and 33 you get 147 degrees. You subtract 147 from 180 to get your answer for X, Which is 33 degrees.

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Based on the model ​N(11541154​,8686​) describing steer​ weights, what are the cutoff values for ​a) the highest​ 10% of the​ we
yaroslaw [1]

Answer:

a) x = 1225.68

b) x = 1081.76

c)  1109.28 < x < 1198.72

Step-by-step explanation:

Given:

- Th random variable X for steer weight follows a normal distribution:

                                    X~ N( 1154 , 86 )

Find:

a) the highest​ 10% of the​ weights? ​

b) the lowest​ 20% of the​ weights? ​

c) the middle​ 40% of the​ weights? ​

Solution:

a)

We will compute the corresponding Z-value for highest cut off 10%:

                                   Z @ 0.10 = 1.28

                                    Z = (x-u) / sd

Where,

u: Mean of the distribution.

s.d: Standard deviation of the distribution.

                                   1.28 = (x - 1154) / 86

                                      x = 1.28*86 + 1154

                                      x = 1225.68

b)

We will compute the corresponding Z-value for lowest cut off 20%:

                                   -Z @ 0.20 = -0.84

                                    Z = (x-u) / sd

                                   -0.84 = (x - 1154) / 86

                                      x = -0.84*86 + 1154

                                      x = 1081.76

c)

We will compute the corresponding Z-value for middle cut off 40%:

                                    Z @ 0.3 = -0.52

                                    Z @ 0.7 = 0.52

                                    [email protected] < x < [email protected]

                       -.52*86 + 1154 < x < 0.52*86 + 1154

                                  1109.28 < x < 1198.72

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Step-by-step explanation:

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