What is m angle H + m angle J?

180°

Step-by-step explanation:

The measure of an inscribed angle (inscribed inside a circle) is half the measure of its inscribed arc.

m∡H = (1/2)(m arc GJI)

m∡J = (1/2)(m arc GHI)

m∡H + m∡J = (1/2)(m arc GJI + m arc GHI)

But those two arcs added together on the right side are the whole circle, so they add to 360°.

m∡H + m∡J = (1/2)360°

m∡H + m∡J = 180°

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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