Option D:
SAS
Solution:
Given 
To prove that 
In ΔPQR and ΔRSP,
(given side)
(given)
By alternative interior angle theorem,
∠PRS ≅ ∠QPR (angle)
By reflexive property of congruence,
(side)
Hence by Side-Angle-Side (SAS) congruence rule,
ΔPQR ≅ ΔRSP
Option D is the correct answer.
Hence the missing reason is SAS.
the final price of the wind chime is $29.925 .
<u>Step-by-step explanation:</u>
Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:
Initially we have , 5% discount in $30 i.e.
⇒ (30(5))/100
⇒ (150)/100
⇒ $1.5 , So now price becomes $30 - $1.5 = $28.5 . At this amount there's 5% tax i.e.
⇒ (28.5(5))/100
⇒ (142.5)/100
⇒ $1.425
So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .
Answer:
6 books per month
Step-by-step explanation:
books:months=books per month
Answer:x=−24/11
Step-by-step explanation:
Simplifies to:
x−86x=79
Let's solve your equation step-by-step.
x−86x=79
Step 1: Cross-multiply.
x−86x=79
(x−8)*(9)=7*6x
9x−72=42x
Step 2: Subtract 42x from both sides.
9x−72−42x=42x−42x
−33x−72=0
Step 3: Add 72 to both sides.
−33x−72+72=0+72
−33x=72
Step 4: Divide both sides by -33.
−33x−33=72−33
x=−2411
Answer:
(x, y) → (1.5x, 1.5y)
Step-by-step explanation:
Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.
Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...
(x, y) → 1.5(x, y)
