N; n+1; n+2 - 3 consecutive numbers

n(n + 1) = (n + 2)² - 19 |use a(b + c) = ab + ac and (a + b)² = a² + 2ab + b²

n² + n = n² + 4n + 4 - 19 |subtract n² from both sides

n = 4n - 15 |subtract 4n from both sides

-3n = -15 |divide both sides by (-3)

n = 5

n + 1 = 5 + 1 = 6

n + 2 = 5 + 2 = 7

Answer: 5; 6; 7.

6 0

2 years ago

PLEASE HELP MEE I CAN'T SOLVE THIS BY MYSELF!

UNO [17]

Answer:

x = 22

Step-by-step explanation:

The figure is attached below.

Its given that SV is parallel to RU. We have to find the value of x.

Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.

So, the two adjacent angles would be: ∠S and ∠R

From the figure:

∠S = 5x + 4

∠R = 44 + x

Since,

∠S + ∠R must be 180 degrees, we can write:

∠S + ∠R = 180

5x + 4 + 44 + x = 180

6x + 48 = 180

6x = 132

x = 22

Therefore, the value of x is 22.

6 0

2 years ago