I am thinking A) Or B) because iPlease chose as best if i am wrong please don't be mad most of my stuff is correct
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.
Calculator display for 
= 0.75
calculator display for 
= 0.41667
Calculator display for 
= 0.5833
Step-by-step explanation:
Calculator display for is 0.75
Yes , it is the exact decimal equivalent.
= 0.75
9 ÷ 12
=3 ÷ 4
= (3 × 25) ÷( 4 × 25)
= 75 ÷ 100
= 0.75
calculator display for = 0.41667
= 0.41667
It is not the exact decimal equivalent.
5 ÷ 12 = (5 × 8.35) ÷ ( 12 × 8.35)
= 41.75 ÷ 100.2
= 0.41667
Calculator display for = 0.5833
It is not the exact decimal equivalent.
7 ÷ 12 = ( 7 × 8.35) ÷ ( 12 × 8.35)
= 58.45 ÷ 100.2
= 0.5833
Answer: 242 students do not like football or baseball
Step-by-step explanation:
The total number of students that were surveyed about their preferences of sports is 412. The Venn diagram is shown in the attached photo.
If 45 students like both sports, then the number of students that like football only would be
115 - 45 = 70
Also, the number of students that like baseball only would be
100 - 45 = 55
The number if students that like at least one of the sports is
70 + 55 + 45 = 170
Therefore, the number of students that do not like football or baseball would be
412 - 170 = 242
