Answer:
i. LM || NO (converse alternate interior angle theorem)
ii. <1 ≅ <2 (alternate interior angle theorem)
Step-by-step explanation:
Two or more lines are said to be parallel if they do not meet when extended, even till infinity.
Alternate angles are said to be equal in measure.
Given that;
<1 ≅ < 3,
Since <2 ≅ <3 (alternate interior angle theorem)
Then,
<1 ≅ <2 (transitive property)
Also,
<1 ≅ <2 (alternate interior angle theorem)
Therefore since <1 ≅ <2, thus;
LM || NO (converse alternate interior angle theorem)
Answer:
1.8 × 10^10
Step-by-step explanation:
(7.2 × 10 = 72)
(72) ÷ (4 × 10^-9) = 1.8 × 10^10
Answer:
C, D
Step-by-step explanation:
I assume your problem statement actually says
x - 54 > -76
x > -22
then the answers
C, D
are part of the solution set.
the others are not.
Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.
HJ = (KL + NM)/2
2(HJ) = KL + nm
2(5x + 2) = 4x + 1 + 27
10x + 4 = 4x + 28
6x = 24
x = 4
KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17
Answer: KL = 17
