The reasons would be:
alternate interior angles
vertical angles
AAA (all angles are congruent)
Since we know that the two line segments are parallel, this means that BC is a transversal. Using that knowledge with the position of ABE and DCE, we see these are alternate interior angles.
AEB and DEC are vertical angles, since they share only a vertex.
This gives us 3 congruent angles, so the triangles must be similar.
Answer:
3
Step-by-step explanation:
-5 + (5 + 3)
-5 + 8
3
Answer:
His friend won 10 games.
Step-by-step explanation:
In order to find this, divide the number of games that he won by his part of the proportion (7).
35/7 = 5
5 in this case is the scale factor. We can now multiply his friend's winnings to get the total number of his wins.
5 * 2 = 10
Answer:
1st Picture: m∠RPS= 15° m∠QPR=25°
2nd Picture: x= 53°
Step-by-step explanation:
1st Picture:
8x+7+9x+16=40
17x+23=40
17x=40-23
17x=17
x=1
Substitute the x values with 1 and solve.
Answer:
the answer is 22
Step-by-step explanation: