Answer:
x = 13
Step-by-step explanation:
Sum or interior angles of a triangle is 180,
6x + 19 + 5x - 15 + 3x - 6 = 180
6x + 5x + 3x + 19 - 15 - 6 = 180
14x + 19 - 21 = 180
14x - 2 = 180
14x = 180 + 2
14x = 182
x = 182 / 14
x = 13
Answer: 45
Step-by-step explanation:
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x. We know that the degree measure around the outside of a circle, regardless of its size, is 360. So let's say that arc BC is x. That means that arc BDC is 360 - x. This is because arc BC + arc BDC = 360. Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360. (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
Answer:
time taken to walk one mile × total distance in miles = total time
t × 4 = 40
Step-by-step explanation:
Answer:
Coordinate plane
Step-by-step explanation:
The two dimensional plane made up by the intersection of a vertical (y-axis) and a horizontal (x-axis) perpendicular lines that cross each other once at the zero point mark known as the origin is called the Cartesian plane or coordinate plane. The origin is labeled letter O with coordinates 0,0
The Cartesian plane is used to plot graph lines and points so as to present algebraic ideas in a visual form and to form as well as interpret ideas in algebra.