Question

Question 1
The Transamerica Pyramid in San Francisco is 76 meters taller than the Space Needle in Seattle.

The Transamerica Pyramid is 260 meters tall.

Part A
Write and solve an equation to find the height of the Space Needle.

(2 points)

Question 2
Part B
The Gateway Arch in St. Louis is 8 meters taller than the Space Needle. Write and solve an equation to find the height of the Gateway Arch.

(2 points)

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Answer 1

Part A:

Let x be the height of the Space Needle.

The equation can be written as:

x + 76 = 260

To solve for x, subtract 76 from both sides:

x = 260 - 76

x = 184

Therefore, the height of the Space Needle is 184 meters.

Part B:

Let y be the height of the Gateway Arch.

The equation can be written as:

y = x + 8

Substituting the value of x from Part A:

y = 184 + 8

y = 192

Therefore, the height of the Gateway Arch is 192 meters.