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:
x = 70°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an external angle of the triangle, thus
x + 50 = 120 ( subtract 50 from both sides )
x = 70
Answer:
Exact form: 
Decimal form: 
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:

Placing into the desired format, the exact format is:

In the decimal part, we divide 8 by 9. So

Solving for x:
We apply the inverse sine. So




The solution for x is of 10.455º
Answer:
3 ways
Step-by-step explanation:
Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.
1 - is not prime nor composite
2 - is prime
3 - is prime
4 - 2x2=4, so composite
5 - is prime
6 - 2x3=6, so composite
Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.
Example: 2x + 6 < -8
There's 2 steps to solve this one.
2x + 6 < -8
Subtract 6 from both sides
2x < -14
Divide both sides by 2
x< -7