Question

1. what is the value of x to the nearest tenth?4.77.715.4xnot drawn to scale.7. if ab is the midsegment of the triangle, what is the value of x?3x - 134

Explanation:

Problem 6

Step1: Set up proportion for similar triangles

$\frac{x}{4.7} = \frac{15.4}{17.7}$

Step2: Solve for x via cross-multiplication

$x = \frac{15.4 \times 4.7}{17.7}$

Step3: Calculate and round to nearest tenth

$x = \frac{72.38}{17.7} \approx 4.1$

Step1: Apply midsegment theorem

The midsegment length is half the base: $3x-1 = \frac{34}{2}$

Step2: Simplify the right-hand side

$3x-1 = 17$

Step3: Isolate the variable term

$3x = 17 + 1$

Step4: Solve for x

$x = \frac{18}{3} = 6$

Answer:

$4.1$

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Problem 7