In the figure below, △ a b c ∼△ d e f . bx and ey are altitudes of each triangle. find the measure of ey to the nearest tenth.

EY≅ 5.33 cm (nearest to tenth)

Step-by-step explanation:

Two triangles are said to be similar to each other if they have the same shape

(not necessarily the same size) and their corresponding sides are in

proportion

Given that,

AB = 12

DE = 8

BX = 8

ΔABC ∼ ΔDEF means that

∠A ∼= ∠D, ∠B ∼=∠E and ∠C ∼= ∠F. Further more, their corresponding sides are in proportion.

So,

12/8 = 8/EY

(by doing cross multiplication)

12EY = 8 × 8

12EY = 64

EY = 64 / 12

EY= 5.3333

EY≅ 5.33 cm (nearest to tenth)

20y5 times 2 is 1010 times -2 is -20, plus y

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c