The Gardenview Hotel is seventeen less than twice the height of the Plaza Hotel. If their combined height is 361 feet, how tall
2 answers:
Answer:
The height of Gardenview hotel is 38 feet.
Step-by-step explanation:
To solve this problem let first suppose Garden View Hotel is "x" and the Plaza Hotel is "y" so the first equation as it says in the question will be 17x- 2y =0 and the second equation will be their combined height which is x+y =361 . Now let's solve both the equations simultaneously to get the height of GardenView Hotel.
(1)
(2)
Now multiply the second whole equation by 2 so that we can eliminate y from both the equations , after doing that the final equation is and if we calculate x from this we will get the height of gardenview hotel which is 38 feet.
You might be interested in
<h3>Answer: 38</h3>
=================================================
Explanation:
The square markers tell us that we have right angles (aka 90 degree angles) at angle XYZ and XWZ. They are congruent by definition.
Another pair of congruent angles is WXZ and YXZ which are the left-most angles of each triangle.
The sides XZ and XZ are congruent to each other (reflexive property)
Based on those three previous paragraphs, we can use the Angle Angle Side (AAS) congruence theorem to prove that the triangles are congruent.
Specifically we could write . The order of the letters is important so we know which letters pair up (eg: Y and W pair up as the 90 degree angles).
--------------------------------------
In short, the triangles are identical copies of each other. The upper triangle reflects over the line XZ to get the lower triangle, and vice versa. This means the smaller corresponding pieces must also be the same.
In this case, WZ = YZ = 38