Answer:
the top of a lighthouse is 250 feet above water level to the water line of a ship 2.5 miles offshore.
Step-by-step explanation:
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Answer:
142°
Step-by-step explanation:
Angles on a straight line add up to 180
180-38 = 142
<span><em>12 pennies, 3 nickles, and 2 dimes</em>
p = number of pennies
n = number of nickles
d = number of dimes
p(1) + n(5) + d(10) = 47
that is, the number of pennies x 1 cent + number nickles x 5 cents
+ number of dimes x ten cents equals 47 cents
p = 4n
p + n + d = 17
Substituting 4n for p in the above
4n + n + d = 17
5n + d = 17
Subtract 5n from each side
d = 17 - 5n
We will now substitute 4n for p and ( 17-5n ) for d in
the equation
p(1) + n(5) + d(10) = 47
4n(1) +n(5) + (17-5n)(10) = 47
9n + 170 - 50n = 47
-41n + 170 = 47
Subtract 170 from each side
-41n = 47 - 170
-41n = -123
Divide each side by -41
n = 3
Since p = 4n
p = 4(3)
p = 12
Since p + n + d = 17
12 + 3 + d = 17
15 + d = 17
d = 2
So we have 12 pennies, 3 nickles and 2 dimes
12 + 3(5) + 2(10) ?= 47
12 + 15 + 20 ?= 47</span>
Answer:
124
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180:
m<R + m<S + m<T = 180
11x + 3 + x + 15 + 2x + 8 = 180 add like terms
14x + 26 = 180 subtract 26 from both sides
14x = 154 divide both sides by 14
x = 11 to find m<R replace x with 11
11*11 + 3 = 124