9514 1404 393
Answer:
x = y = 12
Step-by-step explanation:
A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...
1 : 1 : √2
Multiplying these ratios by 12 gives ...
12 : 12 : 12√2 = x : y : 12√2
The side lengths x and y are both 12 units.
Answer:
the answer is 2160 hope this works.
Step-by-step explanation:
Answer:
they are corresponding angles
Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =
![-(i)](https://tex.z-dn.net/?f=-%28i%29)
Total weight of copper = ![37\%\text{ of 46 pounds = }34\%\text{ of }x\text{ pounds + }48\%\text{ of }y\text{ pounds }](https://tex.z-dn.net/?f=37%5C%25%5Ctext%7B%20of%2046%20pounds%20%3D%20%7D34%5C%25%5Ctext%7B%20of%20%7Dx%5Ctext%7B%20pounds%20%2B%20%7D48%5C%25%5Ctext%7B%20of%20%7Dy%5Ctext%7B%20pounds%20%7D)
![-(ii)](https://tex.z-dn.net/?f=-%28ii%29)
Subtracting 34 times first equation from second equation,
![34x+48y-34x-34y=1702-34\times46\\14y=138\\y=9.857\text{ }pounds \\x=36.143\text{ }pounds](https://tex.z-dn.net/?f=34x%2B48y-34x-34y%3D1702-34%5Ctimes46%5C%5C14y%3D138%5C%5Cy%3D9.857%5Ctext%7B%20%7Dpounds%20%5C%5Cx%3D36.143%5Ctext%7B%20%7Dpounds)
∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
-4
Step-by-step explanation:
The slope of a line given two points is given by
m = (y2-y1)/(x2-x1)
= (-4-8)/(2 - -1)
= (-4-8)/(2+1)
= -12/3
= -4