Answer: 17, 19, 21
Step-by-step explanation:
Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)
Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)
Now the second equation:
3x = 2(x+4) + 9
three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9
Now solve
3x = 2(x+4) +9
3x = 2x + 8 + 9
3x = 2x + 17
x = 17
x+2 = 19
x+3 = 21
Answer:
150 in^2
Step-by-step explanation:
Each of the 6 identical faces is a triangle with a base of 5 in and a height of 10 in. The area of a triangle is given by the formula ...
A = 1/2·bh
For the given values, the area of one face is ...
A = (1/2)(5 in)(10 in) = 25 in^2
The figure has 6 identical faces of this area, so the total surface area is ...
A = 6×(25 in^2) = 150 in^2
Answer:
78
Step-by-step explanation:
angle ACD + angle DCB = 180 (Angles on straight line)
4x + 2 + 3x + 3 = 180
7x + 5 = 180
7x = 180-5
7x = 175
x = 175 / 7
x = 25
angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78
radical expression - an expression that contains a radicalrationalize - eliminate the radical from the denominator of a fractionradicand - the expression under a radical symbolrational number - a number that can be written as a ratio of two integers in the form a/b where b does not equal 0
Answer:
13) 4
14) 7
15) 8
How?
21x+6 = 90 by the alternate exterior angles rule so solve and get 4
11x-2=75 by the Corresponding exteriors angles rule so solve and you get 7
8x-4=60 by the vertical angle rule solve and you get 8
Hope this helps :D
