Answer:
Angles G and H are congruent.
Step-by-step explanation:
Half of 2/3 is:

This means that 1/3 was left. This also means that they ate 1/3 of the lasagne.
Model diagram can be seen in attachment.
Answer:
A. 
B. 
Step-by-step explanation:
A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares
= (5x*5x) - 4(4*4)
Area of shaded region = 
B. The expression,
, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.
Thus, 
Therefore, the expression of the are of the shaded region can be expressed in factored form as:

All real numbers since there is no exclusions. (-inf, inf)
Answer:
Step-by-step explanation:
Exterior angle property: Exterior angles equals the sum of remote angles
19x - 18 = 7x + 1 + 10x - 9
19x - 18 = <u>7x + 10x</u> + <u>1 - 9 </u> {Combine like terms}
19x - 18 = 17x - 8 {Subtract 17x from both sides}
19x - 17x - 18 = -8
2x - 18 = -8 {Add 18 to both sides}
2x = -8 + 18
2x = 10
x = 10/2
x = 5