Answer:
Step-by-step explanation:
We can use the Law of Sines to find segment AD, which happens to be a leg of 
and the hypotenuse of 
.
The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:
Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is 
. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:
Now use this value in the Law of Sines to find AD:
Recall that 
and 
:
Now that we have the length of AD, we can find the length of AB. The right triangle is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio 
, where 
is the side opposite to the 30 degree angle and 
is the length of the hypotenuse.
Since AD is the hypotenuse, it must represent in this ratio and since AB is the side opposite to the 30 degree angle, it must represent in this ratio (Derive from basic trig for a right triangle and 
).
Therefore, AB must be exactly half of AD:
Answer:
Reflection.
Step-by-step explanation:
Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.
On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.
At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.
Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.
<em>Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection. </em>
Step-by-step explanation:
hi I am Cynthia am in form one at lugulu girls high school here in Kenya. 1 in that question write x to be one of your consecutive numbers because you don't know the actual number okay?then go to x+1,x+2,x+3.since they were 4 consecutive numbers you already written them down so you need to equate like this x+x+1+x+2+x+3=52 so from there you can continue so any questions just let me know okay?
Answer:
multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6
Step-by-step explanation:
