Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
1. 7 17/42
2. 42 5/6
3. 7 3/4
4. 12 2/3
5. 2 8/35
2x - 5 < 7
2x = 12
x = 6
4x + 10 > 6
4x = - 4
x = - 1
( - 1 , 6 )
i am a mathematics teacher. if anything to ask please pm me
Answer:
Equation → 5y = 3y + 6
Value of ST = 15
Step-by-step explanation:
From the picture attached,
In right triangles ΔVST and ΔVUT,
Acute angles ∠SVT ≅ ∠UVT [Given]
TV ≅ TV [By reflexive property of congruence]
ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]
Therefore, corresponding parts of the congruent triangles are congruent.
Therefore, ST ≅ TU
5y = 3y + 6
5y - 3y = 6
2y = 6
y = 3
Therefore, ST = 5y
ST = 5(3)
= 15
This is very sloppy but u hope it helps
