Solve for x. Round to the nearest tenth, if necessary.

3.5

Step-by-step explanation:

The angles in this triangle add up to 180 degrees, so the other angle is 45 degrees

you can either use the fact that it is a 45-45-90 triangle or some trig to solve; I prefer trig:

sin(theta) = opposite / hypotenuse

sin(45) = 2.5 / x

x = 2.5 / sin(45)

x = 3.5

if you want to use the 45-45-90 identity, you know that the other side is also going to be 2.5, and the hypotenuse will be the side length * square root of 2

x = 2.5 * square root (2)

x = 3.5

now to check your answer, use Pythagorean identity:

x^2 = a^2 + b^2

x = square root (a^2 + b^2)

x = square root (2.5^2 + 2.5^2)

x = 3.5

I hope it makes sense, leave a comment if I should go into more detail :)

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

answer for #1 is c

answer for #2 is d

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