So we are simply adding them
we will set the denominator equal by multiplying both the numerator and denominator
then just adding the numerator while keeping the denominator. look at my work. so your answer is 5/8
y = -2 and x= 3
Graph is attached below. Black line is the graph of y=-2
Blue line is the graph of x=3
Whenever we get equation like x = something, in that case slope is always undefined
Whenever we get equation like y = something, in that case slope is always 0
y = -2 and x= 3
For x=3, the slope is undefined.
The graph of x=3 is a vertical line at 3 on x. The x intercept is 3 and there is no y intercept.
For y=-2, the slope is 0
The graph of y=-2 is a horizontal line at -2 on y. The y intercept is -2 and there is no x intercept.
The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.
Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.
Therefore ∠1 is just one-half of the ∠SUT.

Therefore the measurement of ∠1 is 17°.
Answer:

Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

Substitute,

Inverse operations,

Simplify,
