Answer:
Given: Quadrilateral P QR S is a rectangle.
To prove :PR= Q S
Construction : Join PR and Q S.
Proof: In Rectangle PQRS, and
→ taking two triangles PSR and Δ QRS
1. PS = Q R
2. ∠ PS R = ∠ Q RS [Each being 90°]
3. S R is common.
→ ΔP SR ≅ Δ Q RS → [Side-Angle-Side Congruency]
∴ PR =Q S [ corresponding part of congruent triangles ]
Hence proved.
Answer:
the answer is true
Step-by-step explanation:
the x values don't repeat themselves so therefore it is a function
Answer:
why does it say deleted acct
Step-by-step explanation:
if its deleted why is it still here
![\bf \cfrac{(x-2)(x+3)}{2x+2}\implies \cfrac{x^2+x-6}{2x+2}~~ \begin{array}{llll} \leftarrow \textit{2nd degree polynomial}\\ \leftarrow \textit{1st degree polynomial} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{vertical asymptote}}{2x+2=0}\implies 2x=-2\implies x=-\cfrac{2}{2}\implies x=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%28x-2%29%28x%2B3%29%7D%7B2x%2B2%7D%5Cimplies%20%5Ccfrac%7Bx%5E2%2Bx-6%7D%7B2x%2B2%7D~~%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Cleftarrow%20%5Ctextit%7B2nd%20degree%20polynomial%7D%5C%5C%20%5Cleftarrow%20%5Ctextit%7B1st%20degree%20polynomial%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Bvertical%20asymptote%7D%7D%7B2x%2B2%3D0%7D%5Cimplies%202x%3D-2%5Cimplies%20x%3D-%5Ccfrac%7B2%7D%7B2%7D%5Cimplies%20x%3D-1)
when the degree of the numerator is greater than the denominator's, then it has no horizontal asymptotes.
quick note:
when the degree of the numerator is 1 higher than the degree of the denominator, then it has an slant-asymptote, so this one has a slant-asymptote.
Answer:
Percentage of cherries = 60 %
Percentage of berries = 40 %
Step-by-step explanation:
He orders 15 1/2 pounds every year.
He wants more= 1 1/4 pounds
So the total pounds = 15 1/2 + 1 1/4
= 15 + 1 + 1/2 + 1/4
= 16 + (2+1)/4
= 16 + 3/4
= 16 3/4 pounds
Out of 16 3/4 pounds they want 2/5 part to be of blue berries.
So blue berries = 16 3/4 * ( 2/5)
= 67/4 * ( 2/5)
= 67/10 = 6 7/10 pounds
Amount of cherries= 16 3/4- 6 7/10
= 10 3/4- 7/10
= 10 (15- 14)/20
= 10 1/20 pounds
Percentage of cherries = Amount of cherries/ Total amount * 100
= 201/20 / 67/4 *100
= 201/20 * 4/67 *100
= 201/335 *100
= 60 %
Percentage of berries = 100- 60 = 40 %
