Answer:
Draw a perpendicular line from point A to line segment BC. Name the intersection of said line at BC “E.” You now have a right angled triangle AED.
Now, you know AD = 6 m. Next, given that the trapezoid is a normal one, you know that the midpoints of AB and DC coincide. Therefore, you can find the length of DE like so, DE = (20–14)/2 = 3 m.
Next, we will use the cosign trigonometric function. We know, cos() = adjacent / hypotenuse. Hence, cosx = 3/6 = 1/2. Looking it up on a trigonometric table we know, cos(60 degrees) = 1/2. Therefore, x = 60 degrees.
Alternatively, you could simply use the Theorem for normal trapezoids that states that the base angles will be 60 degrees. Hope this helps!
<u>Question 11</u>
1)
,
(given)
2)
(reflexive property)
3)
(ASA)
4)
(CPCTC)
<u>Question 12</u>
1) Isosceles
with
,
(given)
2)
(angles opposite congruent sides in a triangle are congruent)
3)
and
are supplementary.
and
are supplementary (angles that form a linear pair are supplementary)
4)
(supplements of congruent angles are congruent)
5)
(SAS)
6)
(CPCTC)
7)
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>
Answer:
P(milk) = 7/18
P(not milk) = 11/18
Step-by-step explanation:
The bag contains 7 milk and 11 dark chocolates. That means that there are a total of; 7 + 11 = 18 sweets in the bag.
So, when a sweet is selected at random, probability that the sweet is milk is;
P(milk) = number of milk sweets/total number of sweets = 7/18
Probability it is not milk is;
P(not milk) = number that's not milk/total number of sweets = 11/18