38 Is it explain step by step
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:
the expected rate of change in consumption is 11.83
Step-by-step explanation:
The computation of the expected rate of change in consumption is shown below:
= (Expected quadrillion thermal units - 2003 quadrillion thermal units) ÷ (difference in years)
= (563 - 421) ÷ (2015 - 2003)
= 142 ÷ 12
= 11.83
hence, the expected rate of change in consumption is 11.83
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Step 1) Convert $25 to a decimal:
0.25
Step 2) Multiply that by the amount the sandals cost.
$0.25×$45=$11.25
Step 3) Subtract from the amount you last got.
$45-$11.25=
$33.75
And there we have it! Our answer came out to $33.75.
So, with the 25% off, Sandy is now only paying $33.75 instead of $45.
Answer:
Step-by-step explanation:
Given
Required
Find
Calculate 
Using tan rule
So:
'
'So:
