Find the value of x. (Note: the line passing through the center of the circle is a diameter)
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Answer:
Step-by-step explanation:
From the diagram, the model is divided into 6 equal parts.
The shaded part of the model shows what part of the garden is planted with peas.
Since, 1 part out of 6 is shaded.
The fraction which names the shaded part is therefore:
One-Sixth of the garden is planted with peas.
Let the extensions of secants AD and BC meet at point P.
Let the measure of ar DC be 2a, then m(DAC)=m(DBC)=a, since angles DAC and DBC are both inscribed angles intercepting arc DC.
m(P)=b.
Then triangles APC and BPD are similar, because they have 2 pairs of common angles.
from the similarity of APC and BPD, we can write the ratios:
Let the measure of ar DC be 2a, then m(DAC)=m(DBC)=a, since angles DAC and DBC are both inscribed angles intercepting arc DC.
m(P)=b.
Then triangles APC and BPD are similar, because they have 2 pairs of common angles.
from the similarity of APC and BPD, we can write the ratios: