180^2 + 235^2 = (cliff base to point on bridge)^2
32400 + 55225 = 87625
so cliff base to point on bridge = sqrt of 87625.
Then notice 87625 + d^2 = (x+180)^2
since x^2 +235^2 = d^2,
substitute (x^2 + 235^2) for d^2, like this:
87625 + x^2 + 235^2 = (x+180)^2
87625 + x^2 + 55225 = x^2 + 360x + 32400
87625 + 55225 - 32400 = x^2 - x^2 +360x
360x = 110450
x = about 306.8 feet
h = x+180, so h = 486.8 feet
Remember d^2 = x^2 + 235^2, so
d^2 = 306.8^2 + 235^2
d^2 = 149354.6489
d = about 386.46 feet
Since you know that DA and DC are equal in length, you can say 2x-3=x+2, when you add 3 to both sides, it becomes 2x=x+5, subtract x from both sides, and you find that x=5
Answer:
all congruent
Step-by-step explanation:
The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.
- Let the reserved tickets be represented by r.
- Let the general admission be represented by g.
Therefore, the equation will be 25r + 10g = 150.
The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:
= $150 / $25 = 6
The number of tickets that Rudolph can buy if he buys only general admission tickets will be:
= $150 / $10 = 15
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