Step-by-step explanation:
if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.
now from the angle given i.e X.
perpendicular= 5 cm
base = 14 -2= 12 cm
hypotenuse= ?
we know that,
h² = p²+b²
= 5²+12²=169
h= √169
h= 13
again,
cos X = b/h
= 12/13
Answer:
1/14
Step-by-step explanation:
Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake
P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =
6/21 = 2/7
If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes
Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4
P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14
Use the point-slope formula, y-y1=m(x-x1) to find the equation of the line
The answer is y=3x-1. Hope this helps!
Answer: the answer is -4 I think
Answer:
X=12 and z=109
Step-by-step explanation:
z has the same degree measure as the Angle across from it of 109 degrees.
to solve for x we first have to subtract 109 from 180 since it’s a straight angle to get 71. then we solve for the equation 8x-25 = 71, adding 25 to both sides, 8x=96, dividing 8 by both sides, to get x=12