Mathematics : asked on mem8163
 16.01.2022

Deb transformed △RST so that △RST~ΔR'S'T'. Point R is located at (4, 2) and point R' is located at (-12, 6). What series of transformation did Deb use on △RST? Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3. Deb reflected △RST over the x-axis and then dilated it by a scale factor of 3. Deb rotated △RST 90° counterclockwise about the origin and then dilated it by a scale factor of 13. Deb translated △RST left 4 units and up 4 units and then dilated it by a scale factor of 3

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02.03.2022, solved by verified expert
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The first option is correct. Deb reflected △RST over the y-axis and then dilated it by a scale factor of 3. 

Because after reflection over the y-axis the point R(4,2) will be converted to (-4,2) and after dilation by a factor of 3 the point R'(-4x3, 2x3) = R'(-12,6)

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Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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