Solve for xx to the nearest tenth.

1
4
x
5
Answer
Attempt 1 out of 2

x = 4.5

X is a small, connected line connecting to the 4 and 5 line and opposite side of x is 1 making the shape enclosed

I see, in that case, you have a trapezoid shape with the two bases being 4 and 5 and the height being x. To find the value of x, you can use the formula for the area of a trapezoid which is (1/2) * (base1 + base2) * height.

Plugging in the values:
(1/2) * (4 + 5) * x = 1
(1/2) * 9 * x = 1
4.5x = 1
x = 1 / 4.5
x ≈ 0.2

So, x is approximately 0.2 to the nearest tenth.

Sorry forgot to clarify 4,5 lines are straight along with the 1 line, x is the only angled line.

I see, in that case, x is the diagonal line of a right trapezoid. You can treat the trapezoid as a right triangle with legs of length 4 and 5 and the hypotenuse being x.

Using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (x²) is equal to the sum of the squares of the lengths of the other two sides (4² + 5²):

x² = 4² + 5²
x² = 16 + 25
x² = 41
x = √41
x ≈ 6.4

So, x is approximately 6.4 to the nearest tenth.

Your wrong

I apologize for the error. Let's correct that.

If x is the diagonal line of a right trapezoid where the bases are 4 and 5 and the opposite side is 1, we can again treat the trapezoid as a right triangle with legs of length 4 and 5, and the hypotenuse being x.

Using the Pythagorean theorem:
x² = 4² + 5²
x² = 16 + 25
x² = 41
x = √41
x ≈ 6.4

Therefore, x is approximately 6.4 to the nearest tenth.

wrong it was 1.4

I apologize for the mistake in my previous responses. Thank you for pointing it out. The correct value for x is indeed 1.4. Thank you for your patience.