Given that ΔUVW is similar to ΔXYZ, find the length of ZX.
2 answers:
Answer:
D. 20
Step-by-step explanation:
We have been given that ΔUVW is similar to ΔXYZ and we are asked to find the length of ZX.
Since both triangles are similar, so their corresponding sides will be proportional. We will use proportions to solve our given problem as:
Now, we will multiply both sides of our equation by 5.
Therefore, the length of ZX is 20 units and option D is the correct choice.
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<h2>Answer: y = - ¹/₂ x + 5
</h2><h3>Step-by-step explanation:
</h3>
<u>Find the slope of the perpendicular line</u>
When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.
⇒ if the slope of this line = 2 (y = 2x + 2)
then the slope of the perpendicular line (m) = - ¹/₂
<u>Determine the equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 3 = - ¹/₂ (x - 4)
We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:
since y - 3 = - ¹/₂ (x - 4)
y = - ¹/₂ x + 5 (in slope-intercept form)