Answer:
Step-by-step explanation:
∠X = 50°, ∠Y = 74°, ∠Z = 56°, XY = 24 cm, YZ = 22 cm, XZ = 28 cm
v = 22.91 cm, w = 25°, x = 25°, y = 65°, z = 10 cm
Given: ΔART ≅ ΔHOP
illustration is on the pic
∠H = 53° and ∠O = 54°
AR = HO and HP = AT
x = 3
AT
Solutions:
1. Given: ΔABC ≅ ΔXYZ
Then, ∠A ≅ ∠X = 50° AB ≅ XY = 24 cm
∠B ≅ ∠Y = 74° BC ≅ YZ = 22 cm
∠C ≅ ∠Z = 56° AC ≅ XZ = 28 cm
2. Given: ΔJPO ≅ ΔSMR
Then, ∠J ≅ ∠S = 65° since y represents ∠J then y = 65°
∠P ≅ ∠M = 90° since they are right angles
∠O ≅ ∠R = 25° since w represents ∠R then w = 25° and x represents ∠O then x = 25°
JP ≅ SM = 10 cm since z represents JP then z = 10 cm
JO ≅ SR = 25 cm since v represents SR then v = 25 cm
Given: ΔART ≅ ΔHOP, m∠R = 54°, m∠T = 73°, HO = 15 cm, AT = 10 cm
1. see the pic on the attachment
2. ∠H = 53° and ∠O = 54° since ∠H ≅ ∠A and ∠O ≅ ∠R
3. AR = HO and HP = AT since AR ≅ HO and HP ≅ AT
4. OP ≅ RT
Then, OP = RT
11x - 13 = 20
11x - 13 + 13 = 20 + 13
11x = 33
=
x = 3
5. AT since AR = 15 cm and RT = 20 cm
yun lng sana makatulong (:
