Answer:

Step-by-step explanation:
<u>Given fraction</u>:



Rewrite 9 as 3 · 3:

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:


Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a triangle is 180
95+25 +x = 180
120 +x = 180
Subtract 120 from each side
120+x-120 = 180-120
x = 60
Answer:
Step-by-step explanation:
0.2x + 2.7x - 8.1 = 6.9 + 1.1x
0.2x + 2.7x - 1.1x = 6.9 + 8.1
1.8x = 15
x = 15/1.8
x = 8.33
Answer:
Option A
Step-by-step explanation:
Jordan is 27 miles short of his biking goal.
This statement states that Jordan is 27 miles behind the goal.
Hayden went 27 miles over his goal.
This statement states that Hayden is 27 miles ahead of his goal.
Option A
Both are 27 miles away from their goal.
True.
Option B
Since, both were 27 miles away from their goal,
Statement is False.
Option C
Since, the goal was same both,
Given statement is False.
Option D
Goal was same for both Jordan and Hayden,
Statement is False.
Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.