Answer:
11 : 22 : 132
Step-by-step explanation:
1 + 2 + 12 = 15
165 ÷ 15 = 11
1 × 11 = 11
2 × 11 = 22
12 × 11 = 132
11 : 22 : 132
The solution to the problem is 16.
first, you must set up the equation.
Then, simplify exponents.
256*
Next, simplify the equation.
16
Answer:
6.63
Step-by-step explanation:
6.63324958071
the hundredth spot is the first 3, so you go to the second 3, because its under 5, the second 3 stays the same and doesn't round up to 4.
31.5
because 3 gallons are lost per minute so 3 x 10.5= 31.5
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.
