Find the value of a?

Mathematics

1 answer:

Inga [223]3 years ago

7 0

Answer:
a=9

Explanation:
The triangle is a 45-45-90 triangle, so the sides have a 1-1-root 2 ratio. So, if 9 root 2 is to root 2, then find a to 1. You can solve this by setting up the ratio and solving for a:
a/1=9root2/root2
a/1=9
a=9

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Algebra 1 help please!

Vsevolod [243]

Answer:

$x=46$ and $y=45$

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is $x+y=91$ . For the next equation, it says that the difference of those same numbers is 1, which means that the equation is $x-y=1$ . Now, putting those two together for the system of equations, it's easiest to add them. The result will be $2x=92$ which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.