Answer:
a. angles A and C
b. angles B and D
Step-by-step explanation:
When two lines are parallel, it implies the value of the angle between them is 
. Thus the lines can not meet when extended continuously.
Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.
Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.
i.e < A = < C (alternate interior angle property)
<B = < D (alternate interior angle property)
Answer:
5.5% probability that a randomly selected person plays soccer
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
People surveyed who play soccer, so 
Total outcomes:
Total people surveyed, so 
What is the probability that a randomly selected person plays soccer?
5.5% probability that a randomly selected person plays soccer
2/8 = 1/4.
Each person gets 1/4 of a pizza.
Answer:
Because a bracket is used, the solution includes 
The solution includes numbers from negative infinity to
Step-by-step explanation:
we know that
If the solution for an inequality is (–∞, 6.5]
then
The solution is all real numbers less than or equal to
so
Because a bracket is used, the solution includes
The solution includes numbers from negative infinity to
SA= Lateral Area + Area (of base)
Lateral area = perimeter of base x height
An isosceles triangle has two congruent base segments. The hypotenuse of an isosceles right triangle is (length of base segment) x (the square root of 2). I did the math for you (shown above) to get 5 as a base.
So 5 + 5 + square root of 50 is your perimeter
Multiply the perimeter times your height (8) and you get the lateral area.
Add your lateral area to the base area (triangle = 1/2 bh)
LA = 136.568...
Area of Triangle base = 12.5
Surface area = 149.068... square cm
