silver27

So, you would divide the rhombus into 4 right triangles. You would find the measure of the legs of those triangles by dividing the diagonals by 2. 18/2=9, 12/2=6. Now with the measures of the legs of the triangle, you would apply pythagorean theorem to find the hypotenuse, the side length of the rhombus. $${{\mathtt{9}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{6}}}^{{\mathtt{2}}} = {\mathtt{117}}$$ √117 in simplest radical form is 3√13. Because there are four sides you would multiply 3√13 by 4. 3√13*4=12√13. So 12√13 is the perimeter. If you have any questions or feedback please tell me!

I'm going to answer in statement proof form.

Statement                                                      |  Proof                                                

mANGLE(ABC) is congruent to mANGLE(ADC)      Properties of a Parallelograms

3(BCD)+(BCD)=180                                          Supplementary Property of Parallelograms

4(BCD) = 180                                                   Simplify

BCD=45                                                           Division property of Equality

180-45=ABC                                                     Properties of Supplementary Angles

135=ABC                                                          Simplify

135=ADC                                                          Transitive property of equality

If you have any questions or feedback let me know please!

The square root of -2 is irrational, meaning that you cannot simplify it into a regular number. If you have any more questions, feel free to ask! 

Could you please tell me the given parts of the triangle? There are many ways to find the unlabeled leg of a triangle, depending on the scenario. I can help, you just need to state your question better!

It depends, are you talking about the rate of change in a function table or the rate of change for a certain scenario?

Please clarify, I am eager to help!

Please clarify, do you mean a symbol that means a number is to the root of 2? In that case, the symbol is 

If this is not the symbol you are talking about please tell me!

Always glad to help,

I could not be sure whether the question meant f of x, or f * x. So, I may have been wrong. Sorry if misinterpreted the question! Thank you for pointing that out Melody.

Thanks! 

Lets say blank is a letter, blank is the letter b okay?

b/2=34

so blank is twice as much as 34 because 34 is half of blank.

because blank is twice as much as 34 you would multiply 34 by 2 to find blank.

$${\mathtt{34}}{\mathtt{\,\times\,}}{\mathtt{2}} = {\mathtt{68}}$$

68=blank

ask me if you have any questions!

There are 1760 yards in a mile. Because you know that 1 tablespoon of gasoline can be used to drive 125 yards, you would multiply the number of yards, 125, by 256 to find how many miles the car can travel per gallon. $${\mathtt{125}}{\mathtt{\,\times\,}}{\mathtt{256}} = {\mathtt{32\,000}}$$    $${\frac{{\mathtt{32\,000}}}{{\mathtt{1\,760}}}} = {\frac{{\mathtt{200}}}{{\mathtt{11}}}} = {\mathtt{18.181\: \!818\: \!181\: \!818\: \!181\: \!8}}$$

18 is about the number of miles that the vehicle can travel.

If you have any questions feel free to ask!