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°
320 portions of waffles can be made with one container.
Step-by-step explanation:
Given,
Milk is bought in 1 gallon container.
One portion of waffles require = 0.4 ounces of milk
We know that;
1 gallon = 128 ounces
Now;
No. of portions of waffles = 
No. of portions of waffles = 
No. of portions of waffles = 320
320 portions of waffles can be made with one container.
Answer:
The approximated height of the tree is of 112 meters.
Step-by-step explanation:
The height of a tree with a base diameter of d meters is approximated by the following formula:
In this question:
Base diameter of 3.2m, so 
, and the height is in meters.
The approximated height of the tree is of 112 meters.
Answer:
49
Step-by-step explanation:
-3√(t) = -21
√(t) = 7
t = 49
Answer:
See attachment.
Step-by-step explanation:
f(x) = 6x - 3
y = 6x - 2
Switch out x for y.
x = 6y - 2
Solve for y.
x + 2 = 6y
= y
Graph.
