None. there are parallel lines.
Answer:
ASA
Step-by-step explanation:
One pair of corresponding angles (in the bottom left/right) are already marked for us, and we're also given a pair of corresponding sides (the 8cm ones on the left and right). The two triangles have one more angle in common too - the one they're overlapping on the top corner. So, we have:
- Two pairs of congruent corresponding angles, and
- A pair of congruent corresponding sides between them,
which is enough information to call the triangles congruent by Angle-Side-Angle (ASA).
6x - 19 = 3x + 32
-3x -3x
3x - 19 = 32
+19 +19
3x = 51
--- -----
3 3
x = 17
Angle 1 is 97 degrees.
How i got it: 6(17) - 19 = 3(17) +32
102 - 19 = 51 + 32
83 = 83
83 + 83 = 166
360 - 166 = 194
194/2 = 97
__________________________________________________________
20x + 11 = 25x - 14
-20x -20x
11 = 5x - 14
+14 +14
25 = 5x
---- -----
5 5
5 = x
Angle 1 is 69 degrees.
How i got it: 20(5) + 11 = 25(5) - 14
100 + 11 = 125 - 14
111 = 111
111 + 111 = 222
360 - 222 = 138
138/2 = 69
Answer:
B
Step-by-step explanation:
Basic shifts on a graph.
Using the pythagorean theorem
Base×Base + Perpendicular×Perpendicular = Hypotenuse× Hypotenuse
or B^2+P^2=H^2
B=root H^2 -P^2
Here hypotenuse =50 and Perpendicular = 15
therefore
root(50×50-15×15)
=root(2500-225)
=root(2275)
=47.69
=47.7 (approximately)
Option D is your answer.
