The lines AB and CD are parallel .
GH is the transversal.
The angles marked 5x-10 and 4x+20 are alternate interior angles.
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
When the lines are parallel alternate interior angles are equal.
We can form an equation in x using this property.
5x-10=4x+20
We can solve the equation for x.
For this we bring the x term on one side .To bring x term on same side we subtract 4x both sides
5x-4x-10 =4x-4x+20
Simplifying like terms
x-10=20.
With x we have -10
Adding 10 both sides
x-10+10=20+10
x=30.
Option C is the right answer
First find the answer without decimals
√225= 15
2.25 has two decimal places, so therefore the square root must contain 1 decimal place.
√2.25= 1.5
Final answer: 1.5
ps -1.5 is also correct but I'm not sure if that's what your teacher wants.
Answer:
x = 4
Step-by-step explanation:
4(5x - 2) = 72
Do the distributive property
20x - 8 = 72
Then add 8 to both sides to get 20x alone
20x - 8 = 72
+ 8 + 8
20x = 80
Then divide both sides by 20 to get x
x = 4
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
