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:
The value of v is 6° and the value of w is 15°
Step-by-step explanation:
we know that
When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure
so
5v=2w -----> equation A
10w+5v=180 ----> equation B
substitute equation A in equation B and solve for w
10w+(2w)=180
12w=180
w=15°
Find the value of v
5v=2w -----> v=2w/5
v=2(15)/5=6°
therefore
The value of v is 6° and the value of w is 15°
Answer:
N= -4
Step-by-step explanation:
Answer:
2x-6
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
write the numbers 1-16 on a number line
then start at 16 and go back 6
then Mandy will get her answer
