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emmainna [20.7K]
3 years ago
14

Find the value of x and y

Mathematics
1 answer:
algol133 years ago
8 0
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:

(14x+4)+(16x-4)=180

After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
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Compare 4.6, 2.8..., square root 17, 3.9..., square root 8
Basile [38]
1. Square root 17= 289, Square root 8= 64.
289 = 289.00 \:  \: 64 = 64.00
4.6 > 2.8
289.00 > 64.00
289.00 > 4.6
4.6 > 3.9
2.8 < 3.9
Least to greatest:
2.8, 3.9, 4.6, 64.00, 289.00


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