Polygon xyzw is dilated by a scale factor of 2 with point t as the center of dilation, resulting in the image x′y′z′w′. if point t lies on `bar(yz)`, what can be said about `bar(y'z')` ? a. `bar(y'z')` passes through point t but has a different slope than `bar(yz)`. b. `bar(y'z')` passes through point t and has the same slope as `bar(yz)` . c. `bar(y'z')` does not pass through point t but has the same slope as `bar(yz)`. d. `bar(y'z')` does not pass through point t and has a different slope than `bar(yz)`.

B.

`bar(Y'Z')` passes through point T and has the same slope as `bar(YZ)`

Explanation:

Let us understand what is dilation first.

A dilation is one type of  transformation of a two-dimensional geometric figure that transforms a shape into  an image, which is similar in form to the initial object but varies in size. The scale factor determines the degree or amount to which the object is increased or decreased. The origin of a coordinate plane with the points x = 0 and y = 0 is the most common center of dilation in geometry, but here we are given a point T on YZ

Since dilation does not change the shape but gives a similar image it follows that the centre of dilation T will still remain on the same bar Y'Z' enlarged part of YZ.  Also slope would remain the same as the transformed figure would be similar to the original.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.