<span>The sum of angles CAD and DAB is 180 degrees. This is because they are all on a straight line (because points CAB are colinear) and angles on a straight line add up to 180 degrees.</span>
Answer:
7√2
Step-by-step explanation:
Knowing that the angle is 45° (or π/4 radians) and the opposite leg has a length of 7, you can find the length of b with:
7 / b = sin(π / 4)
7 / (sin(π / 4)) = b
b = 7 / (1 / √2)
b =7√2
A simpler way to get the answer is to note that a right triangle with one 45° angle must be an isoceles right triangle, so both legs are the same length. Using the Pythagorean Theorem:
a² + 7² = b²
Since we know a = 7,
7² + 7² = b²
b = √(2 * 49)
b = 7√2
Since the X is being multiplied by 3 and the sign in front is switching, the rule would be y=-3x
Answer: B
Answer: 1. (6,5)
2. a reflection over a verticle line
Step-by-step explanation:
Answer:
a =12sqrt(2)
Step-by-step explanation:
The Pyhtagorean theorem is a^2 +b^2 =c^2
where a and b are the legs of the triangle and c is the hypotenuse
We know one of the legs is 6 and the hypotenuse is 18.
a^2 + 6^2 = 18^2
a^2 +36 =324
Subtracting 36 from each side
a^2 +36-36 = 324-36
a^2 =288
Taking the square root of each side
sqrt(a^2) = sqrt(288)
a =sqrt(288)
Knowing sqrt(ab) = sqrt(a) sqrt(b)
a = sqrt(144)sqrt(2)
a =12sqrt(2)