Given rws=tuv, find the values of x and y

x = 11° and y = 6

Step-by-step explanation:

Here, given ΔRWS  ≅ ΔTUV

Two triangle are said to be congruent to each other it they  have exactly the same three sides and exactly the same three angles.

So, here   RW = UT, WS = UV and SR = VT

⇒ 25 = 3y + 7

or, 3y = 25 - 7 = 18

or, y = 18/3  =  6

⇒ y = 6

In ΔTUV

By Angle Sum Property:

∠ TUV + ∠ UVT +  ∠ UTV  = 180°

or,  90°   +  29°+ ∠ UTV  = 180°

⇒∠ UTV  =  180° - 119 = 61°

Now, by congruence rule:   ∠ WRS = ∠ UTV

⇒  (8x  - 27)°    = 61°

or, 8x  =  27° +  61°  = 88°

or, x = 88/8  =  11°

⇒  x = 11°

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)