In trapezoid $WXYZ$, $\overline{XY} \parallel \overline{WZ}$, $\angle WXZ = 105^\circ$, $\angle W = 43^\circ$, and $\angle Y = 1
41^\circ$. Find $\angle YXZ$, in degrees.
1 answer:
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Answer:
y = x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate the slope use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)
m = =
, hence
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (5, 7 ), then
7 = + c ⇒ c = 7 -
=
y = x +
← equation in slope-intercept form
Answer:
The percent error in his estimate is<u> 16.67%</u>.
Step-by-step explanation:
Given:
Christopher estimates it will take him half an hour to complete his math homework.
He is able to complete it in 25 minutes.
Now, to find the percent error in his estimate.
Time estimates of completing homework = 30 minutes.
Time actual taken to complete homework = 25 minutes.
Error in estimate = Time estimates of completing homework - Time actual taken to complete homework.
Error in estimate = 30 minutes - 25 minutes.
Error in estimate = 5 minutes.
Now, to get the percent error:
Therefore, the percent error in his estimate is 16.67%.