Answer:
65°
Step-by-step explanation:
Radii CA and CB are perpendicular to tangent lines AT and BT, so
Since angle BAT is equal to 65°, angle CAB has measure
Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus
The sum of the measures of all interior angles in triangle is always 180°, so
Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so
For this case we have that by definition:
A triangle is defined by three lines that are called sides, or by three points called vertices.
We know that:
- <em>The vertices of a triangle are labeled with capital letters.
</em>
- <em>The sides of a triangle are written with lowercase letters.
</em>
- <em>The angles of a triangle are written similarly to the vertices.
</em>
Answer:
The end points of the triangle are called vertices.
They are labeled in capital letters.
Answer:
Step-by-step explanation:
a) set up the variables
Let x represent the first number Then y will represent the second number.
b) What is the equation that represents the above situation?
c) Solve the equation.
<u>Substitute x in the second equation and solve for y:</u>
- x + y = 51
- 2y + y = 51
- 3y = 51
- y = 51/3
- y = 17
<u>Then find x</u>
