Answer:
ST = 12 units
Step-by-step explanation:
Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus
= 
substitute values
= 
( cross- multiply )
6ST = 8(21 - ST)
6ST = 168 - 8ST ( add 8ST to both sides )
14ST = 168 ( divide both sides by 14 )
ST = 12
Answer:
-500
Step-by-step explanation:
2300-6500-2500--1100--600-150-250-+600
Answer:
The probability of drawing three red marbles is 1/27, or about 3.71%
Step-by-step explanation:
Add all the marbles:
5 + 4 + 6 = 15
Find favourable outcomes:
5
The probability for drawing a red marble is:
5/15 or 1/3
Multiply this ×3 to find the probability of drawing three red marbles.
1/3 × 1/3 × 1/3 = 1/27
1 ÷ 27 = 0.0370370370 ... repeating
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.
1 gal = 4 quarts
3 gal = 4 * 3 = 12 quarts
12 / 2 = 6 pitchers
