Answer:
-1.15
Step-by-step explanation:
The tangent of the angle can be found as ...
tan(t) = (y-coordinate)/(x-coordinate) = -4/7
The secant of the angle is related by ...
sec(t)² = tan(t)² +1 = (-4/7)² +1 = 65/49
Then the secant of this 2nd-quadrant angle is ...
sec(t) = -√(65/49) = -(√65)/7 ≈ -1.15
Step-by-step explanation:
WX is parallel to YZ and WZ is also parallel to XY
Answer: 5 : 3
Step-by-step explanation:
The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:
Number of shirts : Number of pants
20 : 12
Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:
= 5 : 3
This is the ratio.
Answer:
256 in²
Step-by-step explanation:
Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7