An Artist creates a scale model and of a Sculpture with a scale of 2 inches = 5 feet. If the scale model of the sculpture measures 8 inches tall, how many feet tall is the actual sculpture?
Answer:
<h3>f =27</h3>
Step-by-step explanation:
![12 = f - 13-2](https://tex.z-dn.net/?f=12%20%3D%20f%20-%2013-2)
Collect like terms and simplify
![12+13+2 = f\\27 =f](https://tex.z-dn.net/?f=12%2B13%2B2%20%3D%20f%5C%5C27%20%3Df)
Switch sides
![f = 27](https://tex.z-dn.net/?f=f%20%3D%2027)
3/8 + 5/2
=3/8 + 20/8
= 23/8
or
= 2 7/8
Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements
Reason
1.
║
, J is the midpoint of
1. Given
2. ∠IHJ ≅ ∠JLK
2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL
3. Vertically opposite angles
4.
≅
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ
5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines
and
, by the transversal
are equal
Vertically opposite angles formed by the crossing of two straight lines
and
are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK
in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent
≅
, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.