(2x + 4) — (-x + 5) PLEASE HELP

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

6 0

(2x + 4) - (-x + 5)
= (2x + 4) -1(-x + 5)
= 2x + 4 + x - 5
= 2x + x + 4 - 5
= 3x - 1.

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The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.

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<h3>angle measures</h3>

The angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:

∠TMA ≈ 107°
∠TAM ≈ 24°

<h3>law of sines</h3>

The law of sines tells us the distances are proportional to the sines of the opposite angles:

TM/sin(TAM) = TA/sin(TMA)

TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km

The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.

<em>Alternate solution</em>

Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...

TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km

This estimate is consistent with the one found using angle measures.