Hey there!!
Okay here are the steps you can follow!
9 11/12 ----> improper fraction ----> 119/12
2 8/11 ----> improper fraction ----> 30/11
119/12 - 30/11
(119/12 - 30/11) * 132
11(119) - 12(30)
1309 - 360
<u>949</u>
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.
The p-value of the test is the calculated probability. Hence, the probability must be 18/380. In simplified terms, this is equal to 0.0474 or 4.74%. This is the p-value of the test. The null hypothesis is p < 6%. According to the test, the p-value is 4.74%. Therefore, the null hypothesis is accepted.
The answer is not among the choices. The answer must be 0.0474 or 4.74%.
It is an enlargement because the scale factor is 2 and a half