Answer:
Length of RU is 20 units.
Step-by-step explanation:
In ΔRSt and ΔRUT,
ST ≅ TU [Given]
RT ≅ RT [Reflexive property]
∠RTS ≅ ∠RTU [Both the angles are the right angles]
ΔRTS ≅ ΔRTU [By SAS property of congruence]
Therefore, RS ≅ RU [By CPCTC (corresponding parts of the congruent triangles are congruent]
8x = 6x + 5
8x - 6x = 5
2x = 5
x = 2.5
Length of RU = (6x + 5)
= 6(2.5) + 5
= 15 + 5
= 20
Length of RU is 20 units.
Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6
