1. A map uses a scale of 1.25 inches = 50 miles. ts
a) Determine how many miles are represented by one inch.
b) If the distance between 2 cities on the map is 6 inches, how far apart are the cities in miles?

a. 48 miles are represented by one inch

b. The two cities are 336 miles apart

Step-by-step explanation:

a.

The equations are directly proportional to each other, meaning we can equal them together

Set up the equation:

1.25 in/60 mi = 1 in/x mi

Variable x = number of miles represented by 1 inch

Cross multiply

1.25 × x = 60 × 1

1.25x = 60

Divide both sides by 1.25 to isolate the variable

1.25x ÷ 1.25 = 60 ÷ 1.25

1x = 48

x = 48

1 inch represents 48 miles

b.

We know 1 inch represents 48 miles, so to find how many miles 7 inches represents, we must multiply

Set up the equation:

7 inches × 48 miles

Solve:

7 × 48 = 336

7 inches represents 336 miles

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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