we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that
in this problem
so
Step 
Find the measure of angle A
therefore
the answer is the option
35.5° and 54.5°
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
Answer:
Step-by-step explanation:4 -2x=3x +2
4-2=3x+2x
2=5x
X=2/5
Answer:
The coordinates of the image point will be (-2,-4).
Step-by-step explanation:
The reflection of the point (2,-4) over the y-axis is to be determined.
Now, as the reflecting mirror is the y-axis, then the y-coordinate of the reflecting point will not change.
So, the image point will have coordinates (h,-4).
Now, after the reflection over the y-axis, the x-coordinate of the image point will change the sign only compared to the original point.
Therefore, the coordinates of the image point will be (-2,-4). (Answer)
