A student is given the rectangle and the square shown. The student states that the two figures have the same perimeter. Is the student correct? Complete the explanation to explain your reasoning. rectangle= (x+15)*x
square= (x+9)*(x+=9)

The student is . The perimeter of a figure is found bythe lengths of its sides. For the rectangle, the perimeter is. For the square, the perimeter
is.

The student is incorrect. The perimeter of a figure is found by adding the lengths of its sides. For the rectangle, the perimeter is 4x + 30. For the square, the perimeter is 4x + 36

Step-by-step explanation:

Given

Required

Fill in the gaps

The area of a rectangle is

Comparing this formula to

We have that:

Perimeter of the rectangle is calculated as:

Similarly, for the square:

Compare this to

We have that:

The perimeter is calculated as:

Since the perimeters of both shapes are not equal, then the student is incorrect

∠cbe and ∠deb are same-side interior angles.

i took the test

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560