3x + 1 = 6x - 4
-3x +4 -3x +4
5 = 3x
5/3 = x x is 5 divided by 3
Opposite sides must be parallel (arrows indicate this) and equal (set up and equation)
$1.60.
You do 100 divided by 625 to get 16 cents. You then multiply .16 times 10 to get $1.60
Hello!
To do this, we know the two triangles are similar, so we can set up a proportion, and then find the length of the lake.
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The two triangles (Triangle AEB and ADC) are similar. We know this because all the angles have the same measurement - They all share angle A, they both have a right angle, and therefore, their third angle measures the same.
What we know about both triangles is their hypotenuse length. We know that triangle AEB has a hypotenuse that measures 320 m, and ADC has a hypotenuse that measures 320 + 162, or 482 m.
320 : 482 is therefore the ratio between the side lengths of two triangles (AEB : ADC). We can simplify this to 160 : 241.
Now, what we are looking for is the side length DC. The corresponding side to this in triangle AEB is EB, and we know it measures 40 m. Therefore, using the ratio, we can find the measure of DC.
160 / 4 : 241 / 4
40 : 60.25
Therefore, the measure of DC is 60.25 m.
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Hope this helps!
0.43h + 0.65p + 1.31d = c
explanation:
h stands for hotdogs, p for pretzels, and d for drinks. c represents the total cost.
each price next to the variable describes the profit per item.
hope this helps! :D
