Answer:
x = 14
Step-by-step explanation:
Total angle measure of a triangle - 180°
Add all the angles together and make them equal to 180.
Solve for x.
7x - 11 + 5x - 2 + 2x - 3 = 180
14x - 16 = 180
14x - 16 + 16 = 180 + 16
14x = 196
x = 14
X - 15 = 30
=> x = 30 + 15 = 45
2(x + 5) = 2(45 + 5) = 2(50) = 100
First, let's break the worded equation up into two parts:
- "<span>4 times a number less than 6'
This is 4 * (6-x)
- "</span><span>8 more than twice that number"
This is 2x+8
Now combine these two expressions:
</span>4 * (6-x) = 2x+8
4 * (6-x) = 2 * (x+4)
2 * (6-x) = x+4
12-2x = x+4
-3x = -8
x = 8/3
If you have any questions, please leave it in the comment section below.
Hope this helps!
Three-fourths of a number increased by one-half
= 3/4 x + 1/2
So three-fourths of a number increased by one-half is equal to fourteen:
3/4 x + 1/2 = 14
Multiply both sides by 4
3x + 2 = 56
Subtract 2 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer: The number is 18
