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3 years ago

What is the value of x?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

4 0

Answer:

Step-by-step explanation:

∠QRT and ∠SRT are supplementary angles,

therefore m∠QRT + m∠SRT = 180°.

(45x)° + m∠SRT = 180° <em>subtract (45x)° from both sides</em>

m∠SRT = 180° - (45x)°

We know: the sum of the measures of the angles of the triangle is equal to 180 °. Therefore we have the equation:

(180 - 45x) + (57 + x) + 25x = 180 <em>combine like terms</em>

(-45x + x + 25x) + (180 + 57) = 180

-19x + 237 = 180 <em>subtract 237 from both sides</em>

-19x = -57 <em>divide both sides by (-19)</em>

x = 3

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In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b

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Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding $(ax+by)^7$ using Binomial expansion, we have that:

$(ax+by)^7$ =

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We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> $a^7 = 128$

=> $a = \sqrt[7]{128}\\ \\\\a = 2$

For the second term:

$a^6b = -224$

$b = \frac{-224}{a^6}$

$b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5$

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