Answer:
40°
Step-by-step explanation:
As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.
Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
Step 1
<u>Find the slope of the given line</u>
we have
Solve for y
Divide by 
both sides
the slope of the given line is 
Step 2
<u>Find the slope of a line that is perpendicular to the given line</u>
we have
substitute the value of m1
therefore
<u>the answer is</u>
the slope is 
Answer:
Step-by-step explanation:
In a right angled triangle, we have perpendicular, hypotenuse and base.
The hypotenuse is the longest side and opposite to the right angle. the side having 90 degree angle is perpendicular.
Applying formulas we can find the values:
the formulas are : cos (Ф) = Base / hypotenuse
sin (Ф) = Perpendicular / hypotenuse
tan (Ф) = Perpendicular / Base
11. cos z
cos z = Base / hypotenuse
cos z = 12/15
12. cos C
cos C = base / hypotenuse
cos C = 38/45
13. tan C
tan C = Perpendicular/ Base
tan C = 40/30
14. tan A
tan A = Perpendicular/ Base
tan A = 21/20
15. tan C
tan C = Perpendicular/ Base
tan C = 12/35
16. tan X
tan X = Perpendicular/ Base
tan X = 30/40
17. sin Z
Sin Z = Perpendicular / Hypotenuse
sin Z = 35/37
18. sin z = Perpendicular / Hypotenuse
sin z = 30/50
Since there are
in a circle, and central
, you can see that the part "sliced out" by the central angle is
of the whole circle.
This means that the length of the intercepted arc
is
of the circumference of the circle. So,
Answer:
Yes
Step-by-step explanation:Because it has 6 sides
