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2 years ago

Find the measure of the missing angle

Mathematics

1 answer:

Leokris [45]2 years ago

6 0

Answer:

z = 69°

Step-by-step explanation:

The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.

We can solve this question algebraically with the equation $90 + 122 + 79 + z = 360$

Step 1: Combine like terms.

$(90+122+79)+z=360$
$z + 291 = 360$

Step 2: Subtract 291 from both sides.

$z + 291 - 291 = 360 - 291$
$z = 69$

Step 3: Check if solution is correct.

$(69) + 261=360$
$360 = 360$

Therefore, z = 69°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Answer:

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Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

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$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

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Apply law of indices:

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$5q^5w^4*4 * q^{12} * w^{5}$

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$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

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