Pierce works at a tutoring center on the weekends. at the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use. each key on the student calculators is 17 millimeters wide, and each key on the demonstration calculator is 6.8 centimeters wide. if the student calculators are 252 millimeters tall, how tall is the demonstration calculator?

100.8 centimeters

Step-by-step explanation:

Given: At the center, there is a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.

Let x be the length of the demonstration calculator.

Since both are similar, by direct proportion we have,

Therefore, the demonstration  calculators are 100.8 centimeters tall.

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.

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3