Answer:
Given:
- adjacent: 4 cm
- hypotenuse: x cm
- angle: 45°
<u>using cosine rule:</u>
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
80-3x=56, Subtract 80 from each side:
-3x = 56-80
-3x=-24
x will equal 8, hope this helps! Have a BLESSED day! :-)
subtraction property of equality
