Answer:
x = 60
Step-by-step explanation:
The two angles shown here are known as corresponding angles. This means they both equal the same amount of degrees. Knowing this, we can set up an equation:
2x + 15 = 135
2x = 120
x = 60
Therefore, x = 60
You can check your answer by substituting the answer for x:
2(60) + 15 = 135
120 + 15 = 135
135 = 135
Greatest Common Factor: 12-1/3 = -4/12, 7/4 = 21/12-4/12 + 21/12 = 17/12
Answer in simplest form: 17/12
Okay so you're correct answer in this situation would be A but it could alsobe C
Subtract 5y from both sides of the equation
X=13-5y
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