Directions: number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. justify your ordering decisions in the last column. remember to incorporate at least two of your vocabulary words into the writing component of this and underline them. order 1‒5 justify your ordering choices. dallas, texas, to houston, texas, is 385 km hoboken, new jersey, to new york city is 659,831 cm orlando, florida, to tampa, florida, is 446,160 feet cleveland, ohio, to akron, ohio, is 2,521,728 inches chicago, illinois, to milwaukee, wisconsin, is 161,920 yards

Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

Solution:

To compare, all the distances must be in the same unit, for example feet.

a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet

b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet

c. Orlando, Florida, to Tampa, Florida, is 446,160 feet

d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet

e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet

Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet

With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km

Then the order is:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.