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3 years ago

19. Calculate the size of the angle marked x in the diagram.

Mathematics

2 answers:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

x = 151°

Step-by-step explanation:

(n - 2)180° =

= (6 - 2)180°

= 720°

x = 720° - 126° - 57° - 221° - 70° - 95°

x = 151°

algol [13]3 years ago

7 0

Answer:

151°

Step-by-step explanation:

126°+221°+95°+57°+70+x=720° ( sum of interior angles of hexagon)

x + 569° =720°

x = 720°- 569°

=151°

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Answer:

Step-by-step explanation:

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3 years ago

How to solve the above simultaneous equation?

soldier1979 [14.2K]

Answer:

C -2 or 1

Step-by-step explanation:

So from the equation you have x^2-x-1=-2*x+1

x^2-x-1+2*x-1=0

x^2 +x -2 =0

D= 1^2 -4*(-2)= 1+8=9

x = (-1+-3)/2

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4 0

3 years ago

Weekly wages at a certain factory are

Furkat [3]

Answer: 0.1359

Step-by-step explanation:

mean = $400

Standard deviation = $50

Since the wages is normally distributed , the first thing is to find the z - score.

z = $\frac{x-mean}{standard deviation}$

finding the z - value for 300 and 350 , we have

z = $\frac{300-400}{50}$

z = $\frac{-100}{50}$

2 = -2

also

z = $\frac{350-400}{50}$

z = $\frac{-50}{50}$

z = -1

The next thing is to check the calculated value on z - table.

From z - table :

P (z $\leq$ -2 ) = 0.0228

P ( z $\leq -1$ ) = 0.1587

combining the two

P ( -2 $\leq$ z $\leq$ -1 ) = 0.1587 - 0.0228

P ( -2 $\leq$ z $\leq$ -1 ) = 0.1359

Therefore , the the probability that a worker

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$300 and $350 = 0.1359

3 0

3 years ago

Find the missing angle. Round your answer to the nearest degree.

Marta_Voda [28]

Answer:

53.52°

Step-by-step explanation:

cos x° = 22/37 = 0.59456

x = 53.52°

8 0

3 years ago

A chipmunk population is experiencing exponential growth with a population growth rate of 265 individuals/year, and a per capita

MAXImum [283]

Answer:

There are 1766 chipmunks in the population

Step-by-step explanation:

Number of individuals increasing per year = 265

Rate of increase = 0.15

Rate of increase = increase in number of individuals in a given population /total population

Substituting the given values, we get -

0.15 = (265/total population)

Total population = 265/0.15 = 1766

7 0

3 years ago