Answer:
He can purchase 300 white baloons.
Step-by-step explanation:
150$ is 15000 cents
15000 = 60b + 30w
b being number of blue baloons,w number of white baloons and 60 and 30 prices in cents
15000 = 60*100 + 30w
15000 - 60*100 = 30w
15000- 6000 = 30w
30w = 9000
w =300
number of white baloons is 300
Answer:
Kelz come on stop it please your okay
Step-by-step explanation:
In the 
plane, we have 
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the 
plane, we have 
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the 
plane, 
, so
which is a circle centered at (0, -10, 3) of radius 
.
Answer:
1. ΔXYZ is a right Δ with altitude YU.
Given
2. ΔXYZ ~ ΔYUZ
Right Triangle Altitude Similarity Theorem
3. VW || XY
Given
4. ∠VWZ ≅ ∠XYZ
Corresponding angles
5. ∠Z ≅ ∠Z
Reflexive property of congruence
6. ΔXYZ ~ ΔVWZ
AA Similarity postulate
7. ΔYUZ ~ ΔVWZ
Transitive property of similar triangles
Step-by-step explanation:
The first statement is given in the problem. Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.
Next, we are given in the problem statement that the lines VW and XY are parallel. Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent. And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.
Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.
Answer:
15) 
16) 12 hours
Step-by-step explanation:
15) 
16) If Jim drove 168 mi in 4 hours, this means it takes him
this many hours to drive 1 mile. So if we multiply this by 504 mi:
