Similar shapes may or may not be congruent.
The value of x is (a) 9.0
The corresponding sides are:
The side lengths are:
Because the shapes are congruent, and AC corresponds to DF.
This means that:
So, we have:
Collect like terms
Divide both sides by 5
<em>Hence, the correct option is (a) 9.0</em>
Read more about congruent triangles at:
Question is Incomplete,Complete question is given Below.
Ben earns $9 per hour and $6 for each delivery he makes. he wants to earn more than $155 in an 8-hour workday. what is the least number of deliveries he must make to reach his goal?
Answer:
Ben must make at least 14 Deliveries to achieve his goal.
Step-by-step explanation:
Hourly Rate = $9 per hour
Cost of each Delivery = $6
Number of hours to be worked = 8 hours.
Money needs to be earned =$155
we need to find the number of deliveries he must make to reach his goal.
Solution :
Let number of deliveries be 'x'.
Now we can say that Hourly rate multiplied by number of hours of work plus Cost of each delivery multiplied by number of deliveries should be greater than or equal to Money needs to be earned.
Framing in equation form we get;
Solving the equation we get;
Subtracting both side by 72 using Subtraction property of Inequality we get;
Now Dividing both side by 6 using Division Property we get;
Hence Ben must make at least 14 Deliveries to achieve his goal.