Answer:
x ≈ 2879.4 m
Step-by-step explanation:
Measure of ∠DAC = 10°
Measure of ∠DAB = 90°
Measure of ∠BAC = 90° - 10° = 80°
By applying cosine rule in ΔABC,
cos(80°) = 
= 
0.17365 = 
x = 
x = 2879.36
x ≈ 2879.4 m
Answer: 17a) 32°
Step-by-step explanation:
Plot the coordinates and draw a line to connect them.
Then draw a horizontal line from (-4, 1) and a vertical line from (4, 6) until they intersect. This creates a 90° triangle.
Notice the length of the horizontal and vertical lines.
Use trigonometry to calculate the angle. Note that tan = opposite/adjacent

16
--------
7 | 115
- 7
--------
45
- 42
---------
3
115/7 = 16 Remainder 3
Each grandchild gets 16 tulips, and there are 3 tulips left over.
Answer=1. three people with 18 points they needs to be separated
2. 12 pieces of Candy that need to be separated
Answer:
<em>Measure of angle B: 76°</em>
<em>Measure of angle C: 76°</em>
<em>Measure of angle A: 28°</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
x = measure of angle B
Since angle B is congruent with angle C:
x = measure of angle C
The sum of the angles in a triangle is 180°:
180 - x - x = 180 - 2x = measure of angle A
It's given the measure of angle B is 20 more than twice the measure of angle A, thus:
x = 20 + 2(180 - 2x)
Operating the parentheses:
x = 20 + 360 - 4x
Adding 4x:
5x = 380
Dividing by 5:
x = 380/5
x = 76°
Measure of angle B: 76°
Measure of angle C: 76°
Measure of angle A: 180 - 2*76°= 28°