Answer:
<h2>y + 1 = 5(x - 1)</h2>Step-by-step explanation:
The slope-intercept form:
m - slope
b - y-intercept
Parallel lines have the same slope.
We have y = 5x → m = 5.
The point-slope form:
We have the slope m = 5 and the point (1, -1). Substitute:
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
