100 POINTS // WILL AWARD PLEASE ANSWER
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation

The answer and explanation is in the image.

See image

Step-by-step explanation:

See image. You can use rigid motions, which don't stretch the shape. The possible rigid motions are reflection (flip) and translations (slide)

Obviously there's more than one way to slide triangle ABC onto triangle EDF.

See image. You could reflect the triangle over the y-axis. Then translate the shape left 2 units and down 4 units. Then triangle ABC will slide right exactly onto triangle EDF showing that they are congruent.

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.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.