When dividing fractions, you flip the second fraction and multiply
Next, we multiply:
Next, we multiply:
6. Find mZ1. (1 point
1 answer:
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we are given
BE=x
ED=x+10
AE=x+1
EC=x+3
we can see that two chords AC and BD are intersecting inside the circle
so, we can use property
now, we can plug values
now, we can multiply them
now, we can move all terms on left side
...............Answer
Answer: The answers are (a) 40 cm and (b)
Step-by-step explanation: The calculations are as follows:
(a) See the figure (a). As given in the question, A circle with centre 'O' circumscribes a triangle ABC with BC = 20 cm and ∠BAC = 30°. We need to find the diameter DC of the circle.
Let us draw BD. Now, ∠BAC and ∠BDC are angles on the same arc BC, so we have
∠BAC = ∠BDC = 30°.
Also, ∠CBD = 90°, since it stands on the diameter DC. So, ΔBCD will be a right angled triangle.
We can write
Thus, the diameter of the circle = 40 cm.
(b) See the figure (b).
As given in the question, A circle with centre 'O'' circumscribes a triangle DEF with EF = 4.6 inches and diameter GF = 12.4 in.. We need to find the angle EDF.
Let us draw GE. Now, ∠EGF and ∠EDF are angles on the same arc EF, so we have
∠EGF = ∠EDF = ?
Also, ∠GEF = 90°, since it stands on the diameter GF. So, ΔGEF will be a right angled triangle.
We can write
Thus,
