Maria draws △PQR. Then she applies a dilation with scale factor 14 and center of dilation P to the triangle. Next, she translates the image 2 centimeters up and 3 centimeters right. She labels the final image as △XYZ. Which of the following must be true about △PQR and △XYZ?

△PQR and △XYZ are similar but not congruent.

△PQR and △XYZ are congruent but not similar.

△PQR and △XYZ are neither similar nor congruent.

△PQR and △XYZ are congruent and similar.

△PQR and △XYZ are similar but not congruent.

Step-by-step explanation:

When Maria dilated the triangle the size changed and so they can't be congruent. But it wouldn't have changed it's shape, so it'll be similar.

△PQR and △XYZ are similar but not congruent.

Step-by-step explanation:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is