1. Use the clues to identify the location of the post office, hospital, mall, nail salon, park, pet store, library, and gas stat
ion. (7 points)
- The hospital is at letter c and makes alternate interior angles with the mall.
- The post office and hospital make same side interior angles.
- The mall makes a corresponding angle with the nail salon.
- The pet store and the gas station form alternate exterior angles.
- The pet store forms a vertical angle with the park.
Letter
_____ Gas station
__C__ Hospital
_____ Library
_____ Mall
_____ Nail salon
_____ Park
_____ Pet store
_____ Post Office
- The hospital is at letter c and makes alternate interior angles with the mall.
- The post office and hospital make same side interior angles.
- The mall makes a corresponding angle with the nail salon.
- The pet store and the gas station form alternate exterior angles.
- The pet store forms a vertical angle with the park.
Letter
_____ Gas station
__C__ Hospital
_____ Library
_____ Mall
_____ Nail salon
_____ Park
_____ Pet store
_____ Post Office
1 answer:
You might be interested in
Answer:
x = 14
y = 14
z= 14
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that <em>x</em> will be the same as its respective leg, 14
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since <em>y</em> is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, <em>y</em> is 14. <em>z </em>is then 14 using either Pythagorean Theorem or special right triangle properties for 30-60-90.