Which statement explains why 49 is a perfect square?

Perfect square--

It is a number which is obtained when we take a square of a integer.

Here we have the number as:

  49

Now this number could be written as:

i.e. 49 is a square of 7 which is an integer.

Also it could be written as follows:

i.e. 49 is a square of -7 which is an integer.

Hence, we get that 49 is a perfect square.

49 is equal to 7 times 7

Step-by-step explanation:

A perfect square: the product of a rational number multiplied by itself.

Since 7 is multiplied by itself to get 49 then 49 is a perfect square.

Hope this Helps

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.