Check the picture below.
now, notice the triangles made, 3 right triangles with legs of 5 and 4 each.
looking at quadrilateral (1), from the leg 5 units long, we have a line with a run of -1 and a rise of 3, from the leg 4 units long, we have a line with a run of 4 and a rise of -1.
Now, quadrilaterals (2) and (4) display the same lengths and rise and runs, which means they're all congruent, quadrilateral (3) has no equal.
so 1 ≅ 2 and 1 ≅ 4.
Answer:
Yes, these triangles are congruent
∠E≅∠M
Step-by-step explanation:
Yes, these triangles are similar.
<em>Proof:</em>
Each side in LNM is
times longer than the sides in GFE



According CPCTC (corresponding parts of congruent triangles are congruent), angle E is similar to angle M.
Hope this helps :)
Have a good day!
Option B
The number of light years in
miles is 11508 light years
<em><u>Solution:</u></em>
Given that,
One light-year equals 5.9 x 10^12 miles
Therefore,

To find: Number of light years in
miles
Let "x" be the number of light years in
miles
Then number of light years in
miles can be found by dividing
miles by miles in 1 light year

Thus number of light years in
miles is 11508 light years
After manipulating above equation we get, 2x^2 - 7x - 8= 0. Discriminant= b^2 - 4ac = (-7)^2 - 4(2)(-8) = 113>0. So there are 2 real roots :)