Answer:
55,473
Step-by-step explanation:
I hope this helps! Have a nice day :)
Answer:
m∠1 = 105°
m∠2 = 75°
Step-by-step explanation:
Lines a and b are parallel.
1. Angles 1 and 75° are the same side angles when two parallel lines a and b are cut by transversal t.
The same side angles add up to 180°, so
m∠1 + 75° = 180°
m∠1 = 180° - 75°
m∠1 = 105
2. Angles 2 and 1 are supplementary (add up to 180°), then
m∠1 + m∠2 = 180°
m∠2 = 180° - 105°
m∠2 = 75°
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:
= 0.8 + -0.4y
Step-by-step explanation:
Simplifying
5x + 2y = 4
Solving
5x + 2y = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
5x + 2y + -2y = 4 + -2y
Combine like terms: 2y + -2y = 0
5x + 0 = 4 + -2y
5x = 4 + -2y
Divide each side by '5'.
x = 0.8 + -0.4y
5^3-(8)+10^2
125-(8)+100
117+100
217
