Answer:
0.18
Step-by-step explanation:
We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544

c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
Answer:1.3
Step-by-step explanation:
The angles with measures 5x + 15 and 115 are corresponding angles.
For lines a and b to be parallel, those angles must be congruent.
5x + 15 = 115
5x = 100
x = 20
Answer: Both students are correct.
Explanation:
In rotation a shape is rotated about a fixed point and it does not affect its measurements. it only changes its position.
Now, When Marcus rotated the
about point S then this process did not affect its shape and size this is why he got the
which is congruent to the
.
In reflection, when a shape reflected across a line then its all points get reflected across this line. But it also does not affect the measurement of the shape.
So, when Sam mapped
by the reflection of
then the measurement of the
did not change. And, he also got the congruent triangle.
Thus, we can say that, Both Marcus and Sam are right.