I can't figure out the postulate or theorem that I would use.

The area of a rectangle is 96 in ^ the length is 8 inches find the perimeter of the rectangle show all work

solniwko [45]

96/8=12. Length is 8 width is 12

Perimeter is 8+8+12 +12 =40

6 0

3 years ago

Professor Clayton hypothesizes that travel to other countries increases students' abilities to do well in advanced sociology cla

LenaWriter [7]

Answer: travel to other countries

Step-by-step explanation:

The independent variable is the one which brings changes in the another variable or dependent variable. The dependent variable is variable which changes due to manipulative changes on the independent variable.

The independent variable is the travel to other countries which is going exert it's influence over the increase in the ability to do well in advanced sociological classes.

7 0

3 years ago

Find the sum of the reciprocals of two consecutive even integers if the larger integer is x. please answer;-;

Harman [31]

Step-by-step explanation:

Let the larger integer be x

Hence, the smaller integer = x-2

Hence,

Reciprocal of the x= 1/x

Reciprocal of x-2= 1/ x-2

Hence. their sum=

$\frac{1}{x} + \frac{1}{x - 2} \\ = \frac{x - 2 + x}{x(x - 2)} \\ = \frac{2x - 2}{ {x}^{2} - 2x}$

4 0

2 years ago

You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices

7 0

3 years ago

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele

Nataly [62]

The second choice is correct. Given that angle 2 and angle 6 are congruent, the largest in each of the corresponding triangles are vertical angles meaning that two known angles are known in each triangle (and they are equal) which means that the last "unknown" (angles 3 and 7) are congruent. The lines DC and AB correspond with these defined, congruent triangles meaning they are parallel.

4 0

3 years ago

I can't figure out the postulate or theorem that I would use. ​

I can't figure out the postulate or theorem that I would use.