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: area= 3846.5 inch^2
Step-by-step explanation:
Area of circle = πr^2
Where r is the radius and pi is 3.14
So, we get..
3.14 x (35)^2
= 3.14 x 35 x 35
= 3.14 x 1225
= 3846.5 inch^ 2
Answer:
9 sleeves for 22.99
Step-by-step explanation
The first pack has a unit rate of $11.49/ 4 balls
=$2.8725
The second pack has a unit rate of $16.79/6balls
=$2.798 per ball
the third pack has a unit rate of $22.99/9balls
=2.554
So, I would definitely go for the third pack since it has the least cost.
Answer:
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<span>(x-h)^2 + (y-k)^2 = r^2
(h, k) = (-5, -1)
r = 5
</span><span>(x+5)^2 + (y+1)^2 = 5^2
</span><span>(x+5)^2 + (y+1)^2 = 25</span>