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Andre45 [30]
3 years ago
15

What is “x” and “z” on this question?

Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0
The answers are x = 6 and z = 83

z can be found through the fact that the straight line created by it and the 97 degree angle would add to 180 degrees. After subtracting 97 from the 180 total, the answer of 83 would be apparent. 

As for the x, the opposite angles will equal each other. Therefore: 

11x + 31 = 97 ----> Subtract 31 from both sides
11x = 66 ---> Divide both sides by 11
x = 6

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Which of the following inequalities has the solution set shown on the graph?
PilotLPTM [1.2K]

Answer:

option A)  y > 5/4x + 10

Step-by-step explanation:

Take any point in the shaded region

( -12 , 1)

y > 5/4 x + 10

1 > 5/4 * (-12) + 10

1 > 5*(-3) +10

1 > -15 + 10

1 > -5

(-12 , 5) satisfies the equation.

7 0
3 years ago
What set of Transformations are applied to parallelogram ABCD to create A'B'C'D'?​
bearhunter [10]

Answer:  a) reflected over x-axis and reflected over y-axis

<u>Step-by-step explanation:</u>

Reflection over the x-axis changes the sign of the y-coordinate

Z = (x, y)   →   Z'(x, -y)

Reflection over the y-axis changes the sign of the x-coordinate

Z' = (x, -y)   →   Z''(-x, -y)

A = (-4, 1)     →     A'' = (4, -1)    

B = (-3, 2)    →     A'' = (3, -2)

C = (-1, 2)     →     A'' = (1, -2)    

D = (-2, 1)     →     A'' = (2, -1)  

3 0
3 years ago
according to the graph, what is the approximate average rate of change in the radius of the circle as the area increases from 3
slamgirl [31]

Answer: the answer is 0.125 foot per square foot

Step-by-step explanation:

7 0
3 years ago
Please help I need it today please help
Rufina [12.5K]
0-2+9=7 is the answer I think
6 0
4 years ago
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

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

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
3 years ago
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