Answer:
answer
Step-by-step explanation:
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
The two numbers are <u>12 and 51.</u>
<h3>
EXPLANATION</h3>
To solve this, I did 63-15, to get 48.
I then divided this by 4, to get the first number, which is <u>12.</u>
To find the second answer, I multiplied 12 by 3, which is 36, and then added the 15 back on, to get <u>51.</u>
<u>51 + 12 = </u><em><u>63</u></em>
Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.
We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.
Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.
In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.
Therefore, our triangles are congruent by SSS congruence.
The answer to the question is b
