Answer:
J=-50
Step-by-step explanation:
Answer:
use math-way
Step-by-step explanation:
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:
ΔGHI and ΔDEF are similar by SSS criteria
Step-by-step explanation:
Consider triangle GHI and triangle DEF
In ΔGHI, GH = 2, HI =4 and GI = 3.5
In ΔDEF , DE =4, EF = 6 and DF = 7
GH/DE = 2/4 =1/2
HI/EF = 3/6 = 1/2
GI/DF = 3.5/7 = 1/2
The corresponding sides are in same ratio by SSS criteria
ΔGHI and ΔDEF are similar
Let Zia's age be = x years
Raj is three years older than Zia, so Raj's age = x+3 years
As the sum of the squares of their ages is 369, so
Factoring 2 out we have,
Now solving this equation,
x=-15 and x=12
Neglect the negative value as x cannot be negative
So x=12
Hence, Zia's age is 12 years and
Raj's age is 12+3 = 15 years
