In quadrilateral abcd, ab∥cd and m∠2=27. what is m∠5? enter your answer in the box.

= 27°

Explanation:

Given: ABCD is a  Quadrilateral and AB is parallel to CD and =27 degree

We have to find out:

since, AB is parallel to CD , and according to the properties of parallel lines If two parallel lines are cut by a transversal line then the alternative interior angles made by that transerversal are always equal.

here BD makes the transversal line for parallel lines AB and CD. and and are interior angles of lines CD and AB respectively. And these angle are alternative to each other.

Thus they must have the equal values. This implies if = 27° then = 27°

no i do not : ( what is it?

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form