4 consecutive integers : (x), (x + 1), (x + 2), (x + 3)
x + x + 1 + x + 2 + x + 3 = 114...combine like terms
4x + 6 = 114....subtract 6 from both sides
4x = 114 - 6
4x = 108...divide both sides by 4
x = 108/4
x = 27
x + 1 = 27 + 1 = 28
x + 2 = 27 + 2 = 29
x + 3 = 27 + 3 = 30
so ur 4 numbers are : 27, 28, 29, 30
Answer:
x = 23.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 29
29 sin 54 = x
x=23.46149
To the nearest tenth
x = 23.5
Solution:
Let's name the three consecutive numbers as y, y + 2, and y + 4.
<u>Note that:</u>
- => Equation formed: 3(y) = 2(y + 4)
<u>Solve the equation to find the three consecutive numbers.</u>
- 3(y) = 2(y + 4)
- => 3y = 2y + 8
- => 3y - 2y = 8
- => y = 8
The numbers are 8, 10, and 12.
Answer:
6:30 and 8 to 40 are equivalent to 1:5
Step-by-step explanation:
Ratios can be rewritten to fractions where you can do the butterfly method.
1/5 and 6/30 would be equivalent because 30 x 1 is 30 and 5 x 6 is 30
1/5 and 8/40 would be 40 x 1 and 5 x 8
X = 32.
117 + 31 = 148.
180 - 148 = 32. (All angles in a triangle add up to 180 degrees)
