unknowntay04

15.09.2019 •

Mathematics

4. a laser beam travels along a straight path for a certain distance, and then bounces n
times off tilted mirrors before striking a target. the laser beam travels v2 additional
centimeters each time it bounces off a mirror. when there are 5 bounces, the laser
beam travels 132 cm.
a. let d (n) denote the distance the laser travels in cm as a function of the number
of bounces off a mirror, n. what does d(5) represent? what is the value of d(5)?

Solved

Show answers

Ответ:

queenbroookk

27.06.2021

Mathematics

Given:

QRST is an isosceles trapezoid with RS||QT.

To find:

The value of x, angle R and angle T.

Solution:

If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.

$m\angle Q+m\angle R=180$

(6x-22)+(8x+34)=180

14x+12=180

14x=180-12

14x=168

Divide both sides by 14.

$x=\dfrac{168}{14}$

x=12

Now,

$m\angle R=(8x+34)^\circ$

$m\angle R=(8(12)+34)^\circ$

$m\angle R=(96+34)^\circ$

$m\angle R=130^\circ$

We know that the base angles of an isosceles triangle are equal.

$m\angle T=m\angle Q=(6x-22)^\circ$

$m\angle T=(6(12)-22)^\circ$

$m\angle T=(72-22)^\circ$

$m\angle T=50^\circ$

Therefore, $x=12,\ m\angle R=130^\circ$ and $m\angle T=50^\circ$ .

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice