Mathematics: An equation is shown. 2(a+b)=c solve the equation for b in terms of a and c. explain your answer. a. b=c−2−a; subtract both 2 and a from each side. b. b=c−2a; distribute 2 to get 2a+b, then subtract 2a from each side. c. b=c+2a/2 ; distribute 2 to get 2a+2b, add 2a, then divide by 2. d. b = c−2a/2 ; distribute 2 to get 2a+2b, subtract 2a, then divide by 2.

An equation is shown. 2(a+b)=c solve the equation

hartmaaj95

19.11.2022

TS is 24 units

Explanation:

ΔTRS and ΔSTQ are right angle triangle

Using pythagoras theorm:

(3x)² = (TR)² + (12)²

(3x)² = (18)² - (QT)²

(18)² - (QT)² = (TR)² + (12)²

180 = (TR)² + (QT)²

36 = (QT)² - (TR)²

QT² = 144

QT = 12

ΔTRS and ΔQRT are similar

$\frac{12}{6} = \frac{TS}{12} \\\\TS = 24$

Therefore, TS is 24 units

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