Answer:
34 + x = 70 ; 36
Step-by-step explanation:
Given that:
Current amount = 34
Final amount = 70
Number of roses planted by the workers today ;
Current amount + number planted today = final amount
Let number planted today = x
34 + x = 70
x = 70 - 34
x = 36
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel
<h3><u>Solution:</u></h3>
Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.
We have to prove that the lines are parallel.
If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.
Now, the 1st angle will be 1/6 of right angle is given as:

And now, 15 degrees is 11 times smaller than the other
Then other angle = 11 times of 15 degrees

Now, sum of angles = 15 + 165 = 180 degrees.
As we expected their sum is 180 degrees. So the lines are parallel.
Hence, the given lines are parallel
Hi student, let me help you out! :)
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We are asked to find the slope of this graph; we are provided with two points:



- What we need in order to find the slope are two points and the slope formula.
Here's the formula:

Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:

Simplify!

Simplify more!

Hope it helps you out! :D
Ask in comments if any queries arise.
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Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24
Step-by-step explanation: