Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
9/12 dividing both the numerator and the denominator by 3
9/3=3
12/3=4
this reduces down to 3/4
Answer:
p = 4√5
Step-by-step explanation:
To solve for P, we can use the Pythagorean theorem.
a²+b²=c²
(8)²+(p)²=12²
64+p²=144
p²=80
√p=√80
p = 4√5
Answer:
Step-by-step explanation:
The sum of a number and the next the result is is alternating 4 an -4
(-4) +8 = 4
8+(-12) = -4
(-12) + 16 = 4
17)
20)Numerator is increased by 2 Numerator is increased by 1
9th is 18/11 (If 2/3 is considered the first)
9th is 16/10 if 1/1 is considered first)
The sum The sum of each fraction is 3 more than the sum of the previous fraction
2+3 = 5
4+4 = 8 (5+3)
6+5=11 (8+3)
8+6=14 (11+3)......
23)
The next number is 0.7 more than the previous number
5.2/4.5=0.7
4.5/3.8=0.7
3.8/3.1=0.7
Answer:
Step-by-step explanation:
Sam is wrong because 9,05 kg =9050g which is different to 9500g