5. Find the value of x. The diagram is not to scale. Lines F and G are parallel.
2 answers:
Answer: The required value of x is 11.
Step-by-step explanation: Given that the lines f and g are parallel to each other.
We are to find the value of x.
From the figure, we note that the parallel lines f and g are cut by a transversal, and
angles with measures 5x° and (9x+26)° are interior angles on the same side of the transversal.
We know that, if two lines are parallel, then the measures of the angles on the same side of the transversal is 180°.
Therefore, we get
Thus, the required value of x is 11.
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Answer:
( 0 < y < 23 / 6 ) mins
Step-by-step explanation:
Solution:-
We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.
The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:
( 0 < x < 4 ) minutes
Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:
The time taken by Jo Anne to complete her speech in English class can be represented as:
y = x - 1/6
Using the range of time that Jo Anne could take in delivering her speech in the class would be:
0 < x < 4
0 - 1/6 < y < 4 - 1/6
-1/6 < y < 23 / 6
Since time can not be less than zero. We correct the lower limit to " 0 " as follows:
( 0 < y < 23 / 6 ) mins