Answer:
50%
Step-by-step explanation:
47 is half of 94 which is the same thing as 50% of 94
Answer:
A. △P'Q'R' does not equal △P''Q''R''.
B. Reflecting across UT would change the orientation of the figure.
C. The sequence does not include a reflection that exchanges U and S.
D. Rotating about point U is not a rigid motion because it changes the orientation of the figure.
E. Translating point R' to Q' is a non-invertible transformation because it changes the location of P'.
(D) Rotating about U is not a rigid motion because it changes the orientation of the figure. [I think D is an incorrect answer choice.]
Step-by-step explanation:
Proof No.1
Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R' about point U to get △P''Q''R''. Since translation and rotation preserve distance, R''Q''=RQ=UT, and Q''=T. Reflect △P''Q''R'' across UT to get △P'''Q'''R''. Since reflection preserves distance, P'''R'''=PR=US, and P'''=S. A sequence of rigid motions maps △PQR onto △STU, so △PQR≅△STU.
Proof No.2
Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R about point U to get △P''Q''R'' so that R''Q'' and UT coincide. Since translation and rotation preserve distance, R''Q''=RQ=UT, and Q''=T. Reflect △P''Q''R'' across UT to get △P'''Q'''R''. Since reflection preserves distance, P'''R'''=PR=US, and P'''=S. A sequence of rigid motions maps △PQR onto △STU, so △PQR≅△STU.
Answer:
75%
Step-by-step explanation:
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The slope is -5/4
Slope formula being y2-y1/x2-x1 = 7-(-3)/-9-(-1)
Answer: 161 packages of gift wrap and the 44 packages of greeting cards
Step-by-step explanation:
We are told the class sells 205 packages in total of gift wraps and greting cards:
(1)
Where 
is the number of packages of gift wrap and 
is the number of packages of greeting cards.
In addition, we are told the class receives a total of 
selling each package of gift wrap for 
and each package of greeting cards for 
:
(2)
Isolating from (1):
(3)
Substituting (3) in (2):
(4)
Finding :
(5) This is the number of packages of greeting cards
Substituting (5) in (1):
(6)
Isolating :
This is the number of packages of gift wrap
