Answer:
w=67°
Step-by-step explanation:
First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°
Answer:
c 15
Step-by-step explanation:
Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.
We can use the Pythagoren theorem.
a^2 + b^2 = c^2
x^2 + 20^2 = (x + 10)^2
x^2 + 400 = (x + 10)(x + 10)
x^2 + 400 = x^2 + 10x + 10x + 100
400 = 20x + 100
20x = 300
x = 15
Divide it into 1 rectangle and 3 triangles.
Rectangle : 3 x 8 = 24
Triangle 1: 1/2 x 8 x 2 = 8
Triangle 2: 1/2 x 4x3 = 6
Triangle 3: 1/2 x 4x3= 6
Total area = 24 + 8 + 6 + 6 = 44 square units.
To find percent tax, add the cost of the meal, which would be 11.20. A 5% tax would be 11.20*0.05=$0.56. This would be added on to the bill. So 11.20+0.56. This means the total cost of the meal is $11.76
