Answer:
1/22
Step-by-step explanation:
assuming that the marbles drawn are not replaced:
P(red) = 3/12 or 1/4
P(green) = 4/11
P(blue) = 5/10 or 1/2
multiply the probabilities together:
1/4 x 4/11 x 1/2 = 1/22
Hey there! :D
The congruence marks on the trapezoid make the angles congruent. This makes opposite angles supplementary. (Because all the angles in a trapezoid add up to 360 degrees)
12x-31+6x-5= 180
18x-36= 180
Add 36 to both sides.
18x= 216
Divide both sides by 18.
x= 12
You can just plug that in to find m<H.
6x-5
6(12)-5
72-5
m<H= 67
I hope this helps!
~kaikers
Answer:
The distance between the bird houses are 10.26 feet
Step-by-step explanation:
Answer:
y = 9.8995
Step-by-step explanation:
This question requires the use of basic trigonometry.
In this problem, we know one of the sides and two of the angles.
Since one of the angles is 45 degrees and the sum of all internal angles of a triangle is 180 degrees, the other angle can only be 45 degrees, making this an isosceles triangle - that is, the length of the other leg, x, is also 7.
You could use the soh cah toa mnemonic to figure it out, but here just using the a^2 + b^2 = c^2 should be sufficient since we know both legs of the triangle.
7^2 + 7^2 = 98, and the square root of 98 gives you about 9.8995, which sounds about right for this situation.
Hope this helped!
Vertical angles is the answer
Supplementary means they add up to 180
Adjacent means they are next to each other
Complementary means they add up to 90
So the answer is vertical
