Helppp outt plss....
1 answer:
<h3>Answers: x = 30 and y = 150</h3>
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Explanation:
For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.
One pair of such angles is A and C
A+C = 180
x+y = 180 is one equation to form
The other pair of supplementary angles is B and D
B+D = 180
y-45+2x+15 = 180
2x+y-30 = 180
2x+y = 180+30
2x+y = 210 is the other equation to form
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So the system of equations we have is
Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.
- The x terms subtract to x-2x = -x
- The y terms subtract to y-y = 0y = 0, so the y terms go away
- The right hand sides subtract to 180-210 = -30
We end up with -x = -30 which solves to x = 30
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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y
Let's say we picked on the first equation
x+y = 180
30+y = 180
y = 180-30
y = 150
Or we could pick on the second equation
2x+y = 210
2(30) + y = 210
60+y = 210
y = 210-60
y = 150
Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.
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Answer with explanation:
Alison is learning how to walk.50% of times she takes a step she falls down.
Probability of falling down in next step
Probability of not falling down in next step
From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.
While Simulating the Probability of falling down should be
And , probability of not falling down
→→⇒F=Falling, NF=Non Falling
A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.
Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.
B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.
Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.
C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.
Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.
D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.
Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.
Option D