You would take 1818÷33=55.09
55.09 is how many toothpicks it took for each step made
Then you would take 55.09×55=3029.95
You can make sure this is correct by taking 55.09×33=1817.97 which would actually be 1818 because you had to round it up
The rule (x, y) (x-5, y+10) would describe the translation 5 units to the left (because when you go to the left the numbers on the x axis become smaller) and 10 units up (because when you go up the numbers on the y axis increase).
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.
<u>Answer:</u>
Mrs. Khan is mailing 2 packages. Subtract 623 – 312 best describe how to find out how much heavier the larger package is. Hence Option C is correct
<u>Solution:</u>
Given that
Mrs khan is mailing two packages.
Weight of larger package = 623 pounds
Weight of small package = 312 pounds
Now we need to find how much heavier larger package compare to smaller one is.
To get this if we remove weight of smaller package from larger package , we will get how much larger package is heavier.
That is<em> Weight of larger package – Weight of smaller package</em> = 623 pounds – 312 pounds
Hence option C) subtract 623 – 312 best describe how to find out how much heavier the larger package is.
Answer:
B. 3 to 10
Step-by-step explanation:
She uses 3 scoops of hot cocoa.
She uses 10 miniature marshmallows.
The ratio of scoops of hot cocoa to miniature marshmallows is 3 to 10.
