The equation x° = 180° - (37°+ 53°) can be used to find the value of x.
Step-by-step explanation:
Step 1; There are three lines in the given diagram. There are a baseline and two other lines. Out of the other two lines, one extends above and below the baseline whereas the other extends only above. Since the baseline is horizontal and the others are at angles we have the sum of all the three angles as 180° i.e. 37°, x°, and 53°.
37° + x° + 53° = 180°.
Step 2; To solve the value of x, we keep the unknown value at the left-hand side whereas all the known values are taken to the right side of the equation.
x° = 180° - (37°+ 53°).
So the fifth option can be used to determine the value of x.
slope is -1

we have a point as (-4,3)
we can use slope intercept form of line

we can plug m=-1

now, we can plug point (-4,3)
x=-4 and y=3 and then we can find b


now, we can plug back
and we get
............Answer
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
13/17 if you are trying to simplify it. You divide it by 3 on the top and bottom
Answer:
d.is the answer
Step-by-step explanation: