Answer:
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
Step-by-step explanation:
we know that
The dimensions of the garden in the actual are 10 ft by 5 ft
The dimensions of the garden on the scale drawing are 12 in. by 6 in
step 1
Find the scale factor
To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual
so

simplify

That means
1.2 inches in the drawing represent 1 foot in the actual
step 2
Find out the dimensions of the herb garden on the scale drawing
we know that
The dimensions of the herb garden in the actual are 2 ft by 5 ft
Multiply by the scale factor
so


therefore
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
Answer:
Step-by-step explanation:
Statements Reasons
1). Points A, B and C form the triangle 1). Given
2). Let DE be a line passing through 2). Definition of parallel lines
B and parallel to AC
3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4 3). Theorem of Alternate
interior angles
4). m∠1 = m∠4 and m∠3 = m∠5 4). Definition of alternate angles
5). m∠4 + m∠2+ m∠5 = 180° 5). Angle addition and definition
of straight lines
6). m∠1 + m∠2+ m∠3 = 180° 6). Substitution