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emmasim [6.3K]
2 years ago
13

Can someone please answer this for me ? thanks

Mathematics
2 answers:
Leokris [45]2 years ago
7 0

Answer:

x=-4.5

Step-by-step explanation:

In the given triangle, Two sides are divided into equal part.

It means D and E is mid point of AB and AC.

Mid-point theorem: The line joining  the mid points of sides of a triangle then line (DE) parallel to BC and DE is half of BC.

In the given figure, (Attachment)

DE = 3x+4

BC = 4x-1

DE=\dfrac{1}{2}BC             [mid-point theorem]

3x+4=\dfrac{1}{2}(4x-1)

2(3x+4)=4x-1

6x+8=4x-1

6x-4x=-9

2x=-9

x=-4.5

Hence, The value of x is -4.5

Sonja [21]2 years ago
5 0

3x +4 is 7x and 4x- 1 is 3x because yhat how you solve that

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Answer:

Levi's dad takes 1.67 hours to wash the car by himself

Step-by-step explanation:

* Lets explain how to solve the problem

- Levi takes 2.5 hours to wash his dad's car alone

- Levi and his dad take 1 hour to wash the dad's car together

∵ Levi takes 2.5 hours to wash the car alone

∴ The rate of Levi is 1/2.5 car/hr

∵ His dad takes x hours to wash the car alone

∴ The rate of his dad is 1/x car/hr

∵ They working together for 1 hour to wash the car

- The equation of the work is rate of Levi × t + rate of his dad × t = 1

∵ t is the time of working together

∵ t = 1 hour

∴ \frac{1}{2.5}(1)+\frac{1}{x}(1)=1========\frac{1}{2.5}+\frac{1}{x}=1

- Multiply both sides by 2.5x to cancel the denominators

∵ \frac{1}{2.5}(2.5x)=x=====\frac{1}{x}(2.5x)=2.5

∵ 1 × (2.5x) = 2.5x

∴ x + 2.5 = 2.5x

- Subtract x from both sides

∴ 2.5 = 1.5x

- Divide both sides by 1.5

∴ x = 5/3 ≅ 1.67

∵ x is the the time of his dad to wash the car alone

∴ Levi's dad takes 1.67 hours to wash the car by himself

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