Answer:
Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD.
Step-by-step explanation:
The Inscribed Angle Theorem proves that an inscribed angle is half the measure of a central angle, if both the inscribed angle and the central angle intercepts the same arc.
Also, according to the inscribed angle theorem, an inscribed angle is ½ of the measure of the arc it intercepts.
Therefore, m<CBD is half of m<CAD, or half of the measure of the arc CD that they both intercept together.
Thus, m<CBD = 55°, which is ½ of m<arc CD.
m<arc CD = 110° = m<CAD.
m<CBD = ½ of m<CAD = 55°.
The statement that best describes the relationship between <CBD and <CAD is "Because <CBD is an inscribed angle and <CAD is a central angle with the same intercepted arc, m<CBD = 55°, or half of the measure of <CAD."
Answer:
-x - 29
Step-by-step explanation:
-2(5x + 1) + 3(3x - 9) = First, distribute the numbers in the parenthesis
-10x - 2 + 9x - 27 = Then, combine like terms
(-10x + 9x) + (-2 - 27)= Next, distribute the digits
-x - 29
Answer:
Step-by-step explanation:
Divide both sides by 9.
True.
Answer:
-38
Step-by-step explanation:
