Since we know a triangle only has 180 degrees we can say:
99+3x+x+5=180
Then we can solve for x:
4x+104=180
4x=76
x=19
Answer:
y=16x ??
Step-by-step explanation:
Answer:
Step-by-step explanation:
ABC and DEF are congruent
ABC and JKL are not congruent
ABC and QRS are congruent
JKL and DEF are not congruent
JKL and QRS are not congruent
QRS and DEF are congruent
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."
