Pythagorean theorem: find the perimeter
What is the perimeter?

5

Step-by-step explanation:

Lets recall what the pythagroens theorm is:

A^2+B^2=C^2. A and B are the side lengths(adjacent and opposite), while C is the longest sloped length(hyotenouse).

Lets plug in our values for each, and solve for the missing one:

12^3+b^2=13^2

Square each value(except for unknown):

144+b^2=169

Now get b alone(subtract 144 from both sides):

b^2=25

Now root both sides(removes the ^2):

b=5

This is your answer!

Hope this helps! :)

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

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.