Well 25% is the same as .25 or 1/4. So first you need to add X and Y so X+Y and since it is both you choose D
Answer:
28/5=x and y= -6/5
Step-by-step explanation:
solve by substitution
3x+4y=12
Rewrite equations:
2x+y=10;3x+4y=12
Step1: Solve 2x+y=10 for y:
2x+y=10
2x+y+−2x=10+−2x(Add -2x to both sides)
y=−2x+10
Step2: Substitute−2x+10 for y in 3x+4y=12:
3x+4y=12
3x+4(−2x+10)=12
−5x+40=12(Simplify both sides of the equation)
−5x+40+−40=12+−40(Add -40 to both sides)
−5x=−28
-5x/-5=-28/5
(Divide both sides by -5)
x= 28/5
Step3: Substitute
28/5 for x in "y=−2x+10":
y=−2x+10
y=−2(28/5)+10
y=-6/5(Simplify both sides of the equation)
Hope this helps!
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.
If 1 cm = 500 miles......then 2.2 cm = (2.2 * 500) = 1100 miles <==
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
