Answer:
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Answer:
Here's what I get
Step-by-step explanation:
I plotted the triangles in the diagram below.
Part A
The scale factor for dilation is ½, because every coordinate has been halved.
P (8, 0) ⟶ P' (4, 0)
Q (6, 2) ⟶ Q' (3, 1)
R (-2, -4) ⟶ R' (-1, -2)
Part B
When you reflect a point (x, y) about the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign. Thus,
P' (4,0) ⟶ P" (-4,0)
Q' (3,-1) ⟶ Q" (-3,-1)
R' (-1,-2) ⟶ R" (1,-2)
∆P"Q"R" has coordinates P" (-4,0), Q" (-3,-1), R"(1,-2).
Part C
∆PQR and ∆ P"Q"R" are not congruent, because corresponding sides are not equal.
Answer:
63 weeks
Step-by-step explanation:
252 - 3x = 378 - 5x
+ 5x +5x
Add 5x to both sides
252 + 2x = 378
-252 - 252
Subtract 252 from both sides
2x = 126
Divide 2 from both sides
x = 63
Check you work by plugging 63 where the x is
252 - 3(63)
252 - 189 = 63
378 - 5(63)
378- 315 = 63
Answer:
9 + 4x = 101
Step-by-step explanation:
9 + 4x = 101 Equation
( +9 - 9 ) + 4x = ( 101 - 9 ) Subract 9 on both sides
4x = 92 Simplify
x = 23 Divide 4 on both sides
<em>23 people in art class</em>
The factors of 40 from that list are 4, 8. and 80. A factor needs to be able to be divided by 40.