The two angles are vertically opposite when their vertexs share a common point on a set of two lines that cross.
2x + 8 = 70 Subtract 8 from both sides
2x + 8 - 8 = 70 - 8 Combine
2x = 62 Divide by 2
2x/2 = 62/2
x = 31 <<<<< Answer
Answer:
5:1
Step-by-step explanation:
Divide each by 3.
Answer:
Let us consider that ,
The worker can complete the work in x hours .
So, he can complete 1/x part of work in 1 hour.
Now, The workers does 2/3 of what he does. So they do 2/3(1/x) part of work in 1 hour . 2/3x work in 1 hour .
Consider them all working together,
So work done in one hour, = 1/x + 2/3x + 2/3x = 3 + 4 / 3x = 7/3x .
So, They taken 1 hour to complete 7/3th part of work. So, In 3x/7 hours , They all can complete the work.
Ratio of the time taken by all instead of only one = 3x/7 : x = 3/7 .
So ,The required option is 3/7
Hope my answer helped you!
Step-by-step explanation:
Answer:
Domain is all real numbers
Range is

Step-by-step explanation:
The given function is

This is a maximum quadratic function therefore the domain is all real numbers.
Let us complete the square to find the vertex.




Therefore the range is


See graph