Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?

2 answers:

8 0

Answer:
5y=2
Step-by-Step Explanation:

Combine like terms:
8y + 4 = 6 + 3y

Bring the 3y over:
8y - 3y + 4 = 6

Combine like terms:
5y + 4 = 6

Bring the 4 over:
5y = 6 - 4

Your simplified answer:
5y = 2

Gelneren [198K]3 years ago

6 0

Answer:

5y=2

Step-by-step explanation:

8y + 4 = 6 + 2y + 1y

Combine like terms

8y+4 = 6+3y

Subtract 3y from each side

8y-3y+4 = 6+3y-3y

5y +4 = 6

subtract 4 from each side

5y+4-4 = 6-2

5y=2

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to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter

Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

$\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}$