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.
Answer:
45
Step-by-step explanation:
if it has a subtraction or negative dash in front its negative.
Answer:
x = 14
Step-by-step explanation:
As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9
This represents that it is dilated by 3 factor
So
= 3 × 3
= 9
Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor
So the new side is 15
Also the largest triangle is x + 1
So,
15 = x + 1
x = 14
The ilne paralell to x=something is x=something else (both are constants)
slope=rise/run
x=-3
it rises infiniley and runs 0 (goes left to right 0)
slope=infinity/0=undefined
the slope is undefined
paralell lines have same slope
so the slope of a paralell line is also undefined