Given: abcd is a rectangle. if ac = 12, then be = 3 4 6

Option C is correct.

Value of BE is 6 units

Step-by-step explanation:

Properties of the rectangle:

In rectangle ABCD:

Given that: AC = 12 units

Diagonals of ABCD are: AC and BD

By properties of rectangle:

BD = AC = 12 units.

We have to find the value of BE.

E is the point of intersection that divide the diagonal in equal parts.

BD = BE+ED

Since, ED = BE { by properties of rectangle}

then;

BD = 2BE

Substitute the given values we have

Divide both sides by 2 we get;

BE = 6 units.

Therefore, the value of BE is 6 units.

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step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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