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Alexxandr [17]
3 years ago
7

Find the missing angle measure in ΔQRS.

Mathematics
1 answer:
Blababa [14]3 years ago
5 0
Sum of all the angles in a triangle is 180°.
Therefore in ΔQRS,
R + S +Q = 180°
61° + 29° + Q = 180°
Q = 180 - 61 -29
Q = 90°
Hence option A is correct.
Hope this helps, have a nice day!

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A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim
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Answer:

The dimensions of rectangle are:

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Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

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Answer:

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Step-by-step explanation:

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$400 is the capital gain

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Answer:

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Step-by-step explanation:

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Reptile [31]

Answer:

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Step-by-step explanation:

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