Mary's backpack: 25% of 65 = 0.25 * 65 = 16.25; 65 - 16.25 = $48.75
Roberto's backpack: 30% of 75 = 0.3 * 75 = 22.5; 75 - 22.5 = $52.5
Mary's backpack was a better buy because it was cheaper.
A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
<h3>What is the sequence of transformations?</h3>
The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.
The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.
Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
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Answer:
y=x+2
Step-by-step explanation:
To find the equation of a line or linear function, you need at least two points that lie on the line. This is to find the slope or gradient of the line if it's not given. Let's use the two points (0,2) and (-2,0). The first coordinate in each point is X and the second is the y coordinate.
GRADIENT/SLOPE=[y1-y2]/[x1-x2]
=[2-0]/[0-2]=1
The equation of a linear function is given. by Y-y1=m(X-x1)
Y-2=1(X-0)
Y=X+2
VERIFICATION OF SOLUTION
You may want to verify whether you are right by substituting values of x to see if you can obtain corresponding y values.
Example: if x=0, y=0+2=2.This confirms first point
Answer:
a = 12 ft, b = 12 ft
Step-by-step explanation:
The triangle is 45 45 90 right triangle
so a = b
Ratio of leg : hypo. = a : a√2
Given hypo = 12√2, so legs a = b = 12
Answer
a = 12 ft, b = 12 ft
Answer:
C because that's the only one that works