The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?
FGH~KLJ
FGH=KLJ
FGH~JKL
FGH=JKL

Option (1)

Step-by-step explanation:

Triangles given are the similar triangles.

In the given triangles ΔFGH and ΔKLJ,

m∠G = m∠L = 65°

m∠H = m∠J = 24°

m∠F = m∠K = 91°

Since all three interior angles are equal in measure,

Therefore, ΔFGH and ΔKLJ are similar.

ΔFGH ~ ΔKLJ

Option (1) is the correct option.

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

answer: 4 (:

step-by-step explanation: