Answer:
Step-by-step explanation:
Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins
Number of nickels in the bag = 4
We have to find the probability that Marissa draws a nickels from the bag.
Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"
In this case total number of possible outcomes is the total number of coins which is 16.
Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4
Therefore, the probability that she will draw a nickel =
A geometry app shows lengths that add up to 27.4 units.
The Pythagorean theorem can be used to find the lengths of the segments. Each length is the square root of the sum of squares of the difference in x-coordinates and the difference in y-coordinates.
segment AB: length = √(3²+8²) = √73 ≈ 8.544
segment BC: length = √(7²+4²) = √65 ≈ 8.062
segment CA: length = √(10²+4²) = √116 ≈ 10.770
Then the total perimeter is the sum of these lengths:
... 8.544 +8.062 +10.770 = 27.376 ≈ 27.4 . . . . units
Answer:
C
Step-by-step explanation:
It would take 90 degree to rotate clockwise so it will take 360-90=270 degree to rotate counterclockwise
if we look at the equation y = -2x - 1, is already in slope-intercept form, therefore, 
has a slope of -2.
now, parallel lines have exactly equal slopes, therefore a parallel to that one above, will have also a slope of -2, so we're really looking for a line whose slope is -2 and runs through -1, 7.
![\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{7})\qquad \qquad \qquad slope = m\implies -2\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=-2[x-(-1)]\\\\\\y-7=-2(x+1)\implies y-7=-2x-2\implies y=-2x+5](https://tex.z-dn.net/?f=%20%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-1%7D~%2C~%5Cstackrel%7By_1%7D%7B7%7D%29%5Cqquad%20%5Cqquad%20%5Cqquad%20slope%20%3D%20%20m%5Cimplies%20-2%5C%5C%5C%5C%5C%5C%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-7%3D-2%5Bx-%28-1%29%5D%5C%5C%5C%5C%5C%5Cy-7%3D-2%28x%2B1%29%5Cimplies%20y-7%3D-2x-2%5Cimplies%20y%3D-2x%2B5%20)
Answer:
a=3
Step-by-step explanation:
a=3 because 5+4=9 and 9÷3=3
hope this helps!!
