Answer:
24 38%
25 17.04%
26 53%
Step-by-step explanation:
Q24
L = MN
M becomes 1.15M; N becomes 1.2N
L = (1.15M)(1.2N)
L = 1.38MN
L was MN; now L is 1.38MN
Answer: The percent increase in L is 38%
Q25
A = bh/2
A = 0.5ab
a becomes 1.33a; b becomes 0.88b
A = (1.33a)(0.88b)/2
A = 0.5852ab
The area increased from 0.5ab to 0.5852ab.
0.5852/0.5 = 1.1704
Answer: The percent increase in area is 17.04%
Q26
30% of members are male
70% of members are female
Male training for marathon: 60% of 30% = 18%
Female training for marathon: 50% of 70% = 35%
Total: 18% + 35% = 53%
Answer: 53%
The fourth choice goes in the first box.
The second choices goes in the second box.
The fifth choice (the one on the bottom row) goes in the last box.
The fourth choice is 2/6. When reduced it equals 1/3.
The second choice is 3/6. When reduced it equals 1/2.
So when you add them, 2/6 + 3/6, you get 5/6.
Step-by-step explanation:
A matrix of order 3×1 means it has 3 rows and one column.
Answer:
supplementry angles
Step-by-step explanation:
they add up to 180 degrees
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.