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.
Its the first one because everytime you rotate the shape it will stay within the lines
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Yes, indeed it does equal a whole number. 45/5 equals 9, which is a whole number. Whole numbers are numbers that you count up from and including 0 (0,1,2,3,4,5,6...)
You get 9 because 45/5 is the same as 45 divided by 5 which is 9.
Answer:
y = 2x + 1
Step-by-step explanation:
slope is the coefficient of the 'x' term, in this case 1
doubling 1 gives you 2
y-intercept is 2, dividing this by 2 gives you 1
