The gardenview hotel is seventeen less than twice the height of the plaza hotel. if their combined height is 361 feet, how tall is the gardenview hotel?

Height of garden view hotel = 235 ft

Step-by-step explanation:

let

height of the plaza = a

height of Garden view Hotel  = 2a - 17

combined height = 361 ft

The combined height can be represented as follows:

a + (2a - 17) = 361

3a - 17 = 361

collect like terms

3a= 361 + 17

3a = 378

divide both sides by 3

3a/3 = 378/3

a = 378/3

a =  126 ft

Height of garden view hotel = 2 × 126 - 17

Height of garden view hotel = 2 × 126 - 17

Height of garden view hotel = 252 - 17

Height of garden view hotel = 235 ft

false.

step-by-step explanation:

false.

cavalieri's principle makes that statement about the volumes, not about the areas.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: