Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,
Furthermore,
Finding PR and RS,
Then,
Solving for PS,
Solve the quadratic equation in terms of PS, as shown below
![\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5CRightarrow%20PS%5E2%2B16PS-132%3D0%20%5C%5C%20%5CRightarrow%20PS%3D%5Cfrac%7B-16%5Cpm%5Csqrt%5B%5D%7B16%5E2-4%28-132%29%7D%7D%7B2%7D%3D%5Cfrac%7B-16%5Cpm28%7D%7B2%7D%20%5C%5C%20%5CRightarrow%20PS%3D-22%2C6%20%5Cend%7Bgathered%7D)
And PS is a segment; therefore, it has to be positive.
Hence, the answer is PS=6
Answer:
answer choice B.
Step-by-step explanation:
Answer:
$8.26
Step-by-step explanation:
We have 15.71 total. Chicken nuggets each cost $1.49. We are ordering 5 orders of chicken nuggets, so we use multiplication. 1.49*5= $7.45. Since we spent 7.45 from 15.71, to find the rest, we subtract. 15.71-7.45 = 8.26
Answer:
The answer is Tangent.
Step-by-step explanation:
Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.
So using this formula, you are able to find the value of x.
