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Dahasolnce [82]
4 years ago
13

Sq bisects tsr m rsq=3x-9 write an expression for RST

Mathematics
1 answer:
Iteru [2.4K]4 years ago
5 0

It is given in the question that SQ bisects angle TSR . It means SQ divide angle TSR in two equal angles which are angle RSQ and angle TSQ , and they both are equal.

Or we can say that the measurement of each angle is half of the measurement of angle TSR . So angle TSR is double of each of the angle. That is

\angle TSR \ = \  2 (3x-9)

And that's the required expression .

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a father is 5s years more than twice as old as his son. the difference in their ages is 25 years. How old is the father
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In order to solve these sort of problems, we can set up 2 equations from the 2 statements.

f = 5  + 2s \\ f  -  s = 25
We can subsitute the value of f, our first equation, into the second equation and solve like this:
5 + 2s  -  s = 25 \\ 1s + 5 = 25 \\ 1s + 5 - 5 = 25 - 5 \\ s = 20
Then we put the the son's age, 20, back into one of our equations and solve for the other value.

f = 5 + 2(20) \\ f = 40 + 5 \\ f = 45
Thus, the father is 45 years old and the son is 20 years old.
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