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
Answer:
f9
Step-by-step explanation:
Answer:
165
Step-by-step explanation:
Here we have to use the ratio.
Both earth and Pluto are in similar shapes.
To find the number of sphere the size of Pluto does it take to have the same volume, we need to divide the earth's volume by Pluto's volume.
= Earth's volume/Pluto's volume
= 4/3 π (6371)^3 ÷ 4/3 π (1161)^3
Cancelling out 4/3 π both in the numerator and in the denominator, we get
= (6371)^3 ÷ (1161)^3
= 258596602811 ÷ 1564936281
= 165.24
Approximately 165 spheres the size of Pluto to cover the earth volume.
Thank you.
The answer is 7w+5
You can distribute or combine like terms and both work to get the answer
