<em><u>Solution:</u></em>
Given that,
hypotenuse 12
Opposite 7
Find the measure of angle y
y is unknown and is between the hypotenuse and adjacent side
The figure is attached below
In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse
Therefore,
Thus measure of angle y is 35.68 degrees
For this case we must solve the following proportion:
Multiplying by 5 on both sides of the equation we have:
Subtracting 2 from both sides of the equation:
ANswer:
Answer:
The coordinates of point X that divides the line in 1:4 are: (3,8/5)
Step-by-step explanation:
When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,
the coordinates of point are given by:
Given points are:
(x1,y1) = (5,1)
(x2,y2) = (-5,4)
Putting the values in the formula
Hence,
The coordinates of point X that divides the line in 1:4 are: (3,8/5)