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.
Answer:
He is ten.
Step-by-step explanation:
10 yrs old. Go ahead 10 yrs to make 20. Which is four times as much as five years old. (Which is 5 years before 10)
Hope this helps! :)
Answer:
The coordinates of the reflected triangle are 
, 
and 
.
Step-by-step explanation:
Let be a point 
, reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:
y-Axis reflection:
If we know that 
, 
and 
, the coordinates after both reflections are, respectively:
The coordinates of the reflected triangle are , and .
- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>
Answer: 350
Step-by-step explanation:
25 percent of 280 is 70 so it is 350
