1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
It’s the first answer choice
Hope this helps
Answer:
The first image is an Isosceles Triangle and Acute
Step-by-step explanation:
Answer: <span>-x2 + 120x = 1,800
</span><span>
She plans on using the side of the barn as one side of her paddock so it has 3 sides. Since the width is shorter, it will be more efficient to have 2 widths (1 lengths and 2 widths). Because J</span><span>ill has 120 feet of fencing to use, you can get this equation:
120ft= 1L +2W
</span>1L= 120-2W
If you insert it into area formula it would be:
area= L*W
area= (120-2W) *W
area= 120W- 2W^2
-2W^2+120W= area
<span>Since x represent the width of the paddock and the area is 1800 the equation become
</span>-2X^2+120X= 1,800
