Answer:
x=1
Step-by-step explanation:
Look at the bottom of the triangle you will see that 1 = x
Answer:
angle YUT = 120
Step-by-step explanation:
in Triangle SUT
angle 70 + angle 50 + angle x = 180
70 + 50 + x = 180
120 + x = 180
x = 180 - 120
x = 60
angle SUT = 60
angle SUT + angle YUT = 180 ( straight line)
60 + x = 180
x = 120
Therefore angle YUT ( exterior angle ) = 120
Answer:
the coordinates of the point would be (-2.5,3)
Step-by-step explanation:
We want to split the segment from (-10,-3) to (2,-3) into segments with a ratio of 5:3. Since the y-coordinate is -3 for both coordinates, the y-coordinate of the partitioning point will be -3. The ratio of 5:3 corresponds to 5/8 of the distance between the x-coordinates of the two points. So we would be moving 5/8 of the distance from -10 to 2 for the x-coordinate, so the x-coordinate would be -10 + 5/8 (12) = -2.5. So the coordinates of the point would be (-2.5,3)
