In the diagram below bd is parallel to xy what is the value of y?

we know that

if the lines bd and xy are parallel. then

--------> by consecutive interior angles

so

Solve for y

Subtract both sides

therefore

the answer is

Option C. y = 110°

Step-by-step explanation:

In this question BD and XY are two parallel line and a transverse is intersecting both the lines at A and E.

Now ∠BAE = ∠AEY = 70° [ alternate interior angles ]

and ∠EAD + ∠BAE = 180° [ supplementary angles ]

or y + 70° = 180°

⇒ y + 70 - 70 = 180 - 70

⇒ y = 110°

Therefore Option C. measurement of y = 110° is the answer.

won't that be plagrisim thought?

step-by-step explanation:

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