Answer:
C. 1:1
Step-by-step explanation:
In a 45 45 90 right triangle, the side lengths for the legs are both
x and the length of the hypotenuse is 
The answer is B. centroid, which is the intersection of three medians of the triangle's sides.
Let's look into other answers as well:
A. Circumcenter
It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.
The first photo is what a circumcenter looks like:
C. Incenter
It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.
The second photo is what a incenter looks like:
D. Orthocenter
It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.
The second photo is what a Orthocenter looks like:
Therefore the answer is B. Centroid.
Hope it helps!
1. the answer is b = 30 .... you first simply both sides of the equation then flip it then multiply both sides by 10/13
2. the answer is g = 3/2 ...... multiply both sides by 5/2