Answer:
The variable, y is 11°
Step-by-step explanation:
The given parameters are;
in triangle ΔABC;
in triangle ΔFGH;
Segment
= 14
Segment
= 14
Segment
= 27
Segment
= 19
Segment
= 19
Segment
= 2·y + 5
∡A = 32°
∡G = 32°
∡A = ∠BAC which is the angle formed by segments
= 14 and
= 19
Therefore, segment
= 27, is the segment opposite to ∡A = 32°
Similarly, ∡G = ∠FGH which is the angle formed by segments
= 14 and
= 19
Therefore, segment
= 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;
≅
by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∴
=
= 27° y definition of congruency
= 2·y + 5 = 27° by transitive property
∴ 2·y + 5 = 27°
2·y = 27° - 5° = 22°
y = 22°/2 = 11°
The variable, y = 11°
Answer:
(-4,-3)
Step-by-step explanation:
The x value is -4 and the y value is -3
Answer:
b = 2
Step-by-step explanation:
In order to find the value of b, we have to isolate b on one side of equation first
So,

Multiplying 2 with b-1

Adding 2 on both sides

Dividing by 5 on both sides

So the value of b is 2 ..
WE NEED THE FREAKIN' POINTS
Tyler (T)= 17.04 gallons
Maria=6.2(T), Maria= 6.2x17.04=105.65 gallons