Answer: A.4/25
Step-by-step explanation:
Number of trials that were performed = 50
Number of times a blue balloon was chosen = 22
Number of times a yellow balloon was chosen = 7
Number of times an orange balloon was chosen = 8
Number of times a purple balloon was chosen = 13
The estimated probability of choosing an orange balloon from the bag will be the number of times that an orange balloon was chosen divided by the total number of trials. This will be:
= 8/50
= 4/25
Ignoring the triangle first off, it is just a parallelogram. We can find the area with:

(see first diagram).
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:

where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).

Then find the area:

Take the area of the triangle away from the area of the paralellogram:
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180