According to the vertical angle rule we know that x is 40 degrees. The sum of all angles in a triangle make 180, so the sum of x, 60, and the third angle is 180. x is 40 so the third angle is 180-60-40 which is 80 degrees. y is an adjacent angle, which means that the sum of y and 80 degrees is 180. 180-80 is 100, so y is 100 degrees.
Answer:
∠A=30°
Step-by-step explanation:
let's call the angle at the bottom B and the one next to the 130 C
∠A=3x-6
∠C=180-130= 50°
vertical angles are equal∠B =8x+4
∠A+∠C+∠B=180°
find x:
3x-6+50+8x+4= 180°
11x+48=180°
11x= 132
x=12
find ∠A
∠A=3x-6= 3(12)-6 =30°
The goal is to get y by itself so that the equation can be in slope intercept (y = mx + b) form where m is the slope.
<em>Answer:</em>
<em>56a</em>
<em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>8(3 + 4) = </em>
<em>= 8×3 + 8×4</em>
<em>= 24 + 32</em>
<em>= 56</em>
<em>Good luck !</em>
1) use the distance formula to find that the radius (r) of the circle = 5
2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)
3) Now use the formula of a circle and input the (h,k) and r to create:
(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25
4) input the "x" value given in the question (x = 0) and solve for "y":
(0 - 3)² + y² = 25 → 9 + y² = 25 → y² = 16 → y = +/- 4
Since the question states that "b" must be positive, you can disregard the -4.
Answer: b = 4
