Answer:
3/1 or 3
Step-by-step explanation:
It rises up three and to the side one
Answer:
<em>The actual distance between Rose Lake and the hiking trail is 7 miles.</em>
Step-by-step explanation:
The actual distance between Rose Lake and the main road is 3.5 miles and the scaled distance on the map is 2 inch.
Suppose, the actual distance between Rose Lake and the hiking trail is
miles.
Given that, the scaled distance from Rose Lake to the hiking trail on the map is 4 inch.
So, <u>according to the ratio of "scaled distance" to the "actual distance"</u>, the equation will be......

Thus, the actual distance between Rose Lake and the hiking trail is 7 miles.
Since the triangles are similar, the ratio of the sides of larger triangle to the smaller triangle is a constant.
That constant =

Since the sides are in that constant proportion, the area of the triangles will also be in proportion.
(Area of larger triangle) over (Area of smaller triangle) =



= 123.6 ≈ 124
Hence, to the nearest whole number the area of smaller triangle is 124 <span>ft</span>²<span>.</span>
Here are two ways to solve
Method 1: Elimination
x+y = 3k ... start with the first equation
4x+4y = 12k ... multiply every term by 4
4x-6k = 2y ... move onto the second equation
4x-2y = 6k ... subtract 2y from both sides and add 6k to both sides
The system of equations turns into
4x+4y = 12k
4x-2y = 6k
which, when subtracted, leads to 0x+6y = 6k so y = k when you divide both sides by 6
Use y = k to find x
x+y = 3k
x+k = 3k
x = 2k
The answer is 2k
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Method 2: Substitution
x+y = 3k ... start with the first equation
y = -x+3k ... isolate y; subtract x from both sides
4x-6k = 2y ... move onto the second equation
4x-6k = 2(-x+3k) ... plug in y = -x+3k; solve for x
4x-6k = -2x+6k
4x+2x = 6k+6k
6x = 12k
x = 12k/6
x = 2k
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Whichever method you use, the answer is x = 2k
<u>3</u><u>0</u>
Answer:
12÷2/5=12*5/2=<u>3</u><u>0</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>