The triangle is an isosceles triangle because of its degrees. A triangle consists of 180 degrees therefore, 180-90-45 simply makes it 45 matching the other side.

So we can assume that side b is also equivalent to side a. Here we use the pythagorean theorem to find x

a^2 + b^2 = c^2
5^2 + 5^2 = c^2
25+25=50

The square root of 50 is 7.1
x= 7.1

8 0

2 years ago

Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bou

sattari [20]

Answer:

a. The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).

Step-by-step explanation:

The second equation needs to be ...

5x +5y = 50

because the wording "short of $18" means that the actual cost of that purchase would be $18 more than the $32 that Harry had. 18+32 = 50.

The only answer choice that shows this as the second equation is choice A.

In fact, the solution to the system of equations is (8, 2), as can be seen in the graph below.

4 0

4 years ago