D
XZ : YZ = 5:8
3 * XY = 27 (9*3 = 27)
3*XZ : 3*YZ = 3*5 : 3*8
SW : TW = 15 : 24
SW = 15 and TW = 24
Solution: The solution is shown is below figure.
Explanation:
From the given information JKLM is a parallelogram and
bisects
. So Blank 1 is filled by Given and blank 2 is filled by
bisects
.
Parallelogram is a quadrilateral whose opposite sides are equal or parallel. Since it is given that JKLM is a parallelogram, therefore the side JM is parallel to the side KL. So blank 3 filled by Definition of parallelogram.
If a line bisects an angle it is means it divides the angle in two equal parts. Since
bisects
, therefore
. Hence the blank 4 is filled by Definition of bisect.
The transitive property of congruence states that if
and
, then
. Thus, the blank 5 is filled by Transitive Property of Congruence.
Answer:
4
Step-by-step explanation:
with the information given, we can express the equation:
where is the unknown number?
to clear for first we multiply the equation by 2, to eliminate the fraction:
moving all terms with to the left:
and adding +16 to each side:
and finally, dividing by 3
the number is 4.
<span>cos(-120°), sin(-30°), -sin(150°)
This problem requires you to understand the symmetric identities for the sin and cos functions. sin(-150°) is in the 3rd quadrant and is 30° away from the X axis. Now let's look at all the possibilities:
cos(-120°) - Also in the 3rd quadrant and 30° away from the Y axis. MATCH.
sin(150°) - It's in the 2nd quadrant. Will have opposite sign. Not a match.
sin(-30°) - It's in the 4th quadrant. The signs will match. It's also 30° away from the X axis. MATCH.
-sin(150°) - The identity sin(-a) = -sin(a) applies here. MATCH.
cos(60°) - In 1st quadrant. Result will be positive. Not a match.
cos(-60°) - In 4th quadrant. Result will be positive. Not a match.</span>