The interior angles formed by the sides of a quadrilateral have measures that sun to 360° What is the value of X?

Mathematics

1 answer:

densk [106]3 years ago

7 0

Answer:

x = 34

Step-by-step explanation:

Sum the 4 interior angles and equate to 360, that is

3x - 6 + 2x + 108 + 88 = 360 ← simplify left side

5x + 190 = 360 ( subtract 190 from both sides )

5x = 170 ( divide both sides by 5 )

x = 34

You might be interested in

Solve y' + 2xy = 2x^3, y(0) = 1

nlexa [21]

Multiply both sides by $e^{x^2}$ , then you get

$e^{x^2}+2xe^{x^2}y=2x^3e^{x^2}$
$\left(e^{x^2}y\right)'=2x^3e^{x^2}$
$e^{x^2}y=\displaystyle2\int x^3e^{x^2}\,\mathrm dx$
$e^{x^2}y=e^{x^2}(x^2-1)+C$
$y=x^2-1+Ce^{-x^2}$

Given that $y(0)=1$ , you have

$1=-1+Ce^0\implies C=2$

so that the particular solution is

$y=x^2-1+2e^{-x^2}$

6 0

4 years ago

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1? 3, –6, 12, –24, 48, … f (n + 1) =

tatuchka [14]

Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?

3, –6, 12, –24, 48

The recursive formula for this sequence is

f (n + 1) = –2 f(n)

at n=1 f(n)= 3

at n = 2

f(2) = -2 (3) = -6

n = 3