Step-by-step explanation:
because VW || YZ, the 2 triangles are similar.
this is given by the rules of equal angles of intersecting lines with parallel lines. Z to V and Y to W would be such intersecting lines.
and therefore, the angle at W is the angle at Y, the angle at V is the angle at Z. and therefore both angles at A are equal.
so, for similar triangles the scaling factor between corresponding pairs of sides is the same for all sides.
e.g. the same scaling factor that converts 7.2 to 12, converts then also x to x+4.
7.2 × f = 12
f = 12/7.2 = 12/ 72/10 = 120/72 = 10/6 = 5/3
x × 5/3 = x + 4
5x = 3x + 12
2x = 12
x = 6
A to Y = x = 6
W to A = x + 4 = 6 + 4 = 10
Answer:
107 TEAMS
Step-by-step explanation:
1716/16=107
The angle is a complementary angle so both angles add up to 90 degrees
Therefore set your equation equal to 90 to find angle of x
53+x=90
Subtract 53 from both sides
X= 37 degrees
You can put it in a TI84 calculator and find the answer.
I got x = 4-2y
4x+8y=16
-8y=-8y
4x=16-8y
— ——-
4 4
x=4-2y