In trapezoid WXYZ, identify WX. PLEASE HELP!!!

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

Answer:

The length of WX is 31 units.(third option)

Step-by-step explanation:

Given that In trapezoid WXYZ, WX║ZY and S and T are the mid points of the sides WZ and XY. We have to find the length of WX.

By trapezoid mid-segment Property,

A mid-segment of a trapezoid join the midpoints of the two non-parallel sides of trapezoid. The length of the mid-segment is the average of the lengths of the two bases and is parallel to the bases of the trapezoid.

∴ $ST=\frac{WX+ZY}{2}$

⇒ $48=\frac{WX+65}{2}$

⇒ $96=WX+65$

⇒ $WX=96-65=31$

The length of WX is 31 units.(third option)

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Through(-2,-3); parallel to 3x+2y=5

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Step-by-step explanation:

Hey there!

Firstly find slope of the given equation.

Given eqaution is: 3x + 2y = 5.......(i)

Now;

$slope(m1) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y}$

$or \: m1 = \frac{ - 3}{2}$

Therefore, slope (m1) = -3/2.

As per the condition of parallel lines,

Slope of the 1st eqaution (m1) = Slope of the 2nd eqaution (m2) = -3/2.

The point is; (-2,-3). From the above solution we know that the slope is (-3/2). So, the eqaution of a line which passes through the point (-2,-3) is;

(y-y1) = m2 (x-x1)

~ Keep all values.

$(y + 3) = \frac{ - 3}{2} (x + 2)$