Answer:
x = 31 and x = 15
Step-by-step explanation:
(a)
(3x + 31) and (2x - 6) are a linear pair and sum to 180° , then
3x + 31 + 2x - 6 = 180
5x + 25 = 180 ( subtract 25 from both sides )
5x = 155 ( divide both sides by 5 )
x = 31
(b)
3x and (4x - 15) form a right angle and sum to 90° , then
3x + 4x - 15 = 90
7x - 15 = 90 ( add 15 to both sides )
7x = 105 ( divide both sides by 7 )
x = 15
Answer:
Step-by-step explanation:
The following ratio solves the problem
AM/MN = x / MP
(67.2 - 32) /67.2 = x / 81.9
35.2 / 67.2 = x / 81.9
Cross Multiply
67.2 * x = 81.9 * 35.2
67.2 x = 2882.88
Divide by 67.2
x = 2882.88 / 67.2
x = 42.9
The answer is 4!·3!=144
the ! is interesting. it goes like this:
1!= 1
2!=2
3!=6
4!=24
this happens because each ! will multiply the number by the answer to the number before it. it is easier to show you though.
1!=1 because 0!=1, and 1*1=1
2!=2 because 1!=1, and 2*1=2
3!=6 because 2!=2, and 3*2=6
4!=24 because 3!=6, and 4*6=24.
so 4!=[(24)*(6)]=3!
24*6=144
