#4 - find the exact value of x
![4 find the exact value of x class=](https://us-static.z-dn.net/files/de1/b1de5755d88d3114c2c908b160fcfa3a.png)
Answer:
5.7 or 6
Step-by-step explanation:
Using Pythagoras theorem
Hypotenuse²= opposite²+adjacent²
Hypotenuse=9
Opposite =7
Adjacent =x
So
9²=7²+x²
81=49+x²
81-49=x²
32=x²
√32=√x²
5.7=x or approximately 6
Answer:
x= 5.656854
We show the first 6 decimal units if there is no metric being asked ie) centimetres or millimetres
x = a
a² = c ² - b ²
a² = 9² - 7²
√32 = √81 -√49
a² = √32 = 5.656854
Step-by-step explanation:
Have attached picture 7 that i promised from last question.
Also
Picture 8
= The angle at the centre is double the angle at the circumference.
Angle VWY = 1/2 of angle VOY = 1/2 x 180.
Picture 9 +10 ignore they are just for you to recognize 90 degree right angles so it can help you find x on tests/exams etc..
Picture 11 +12 are together the last ones ; if of interest is the hardest one.
Proof
Let angle CDE = x and angle EFC = y.
The angle at the centre is double the angle at the circumference.
Angle COE = 2y and the reflex angle COE = 2x.
Angles around a point add up to 360°.
2y + 2x = 360
2y/2+ 2x/2 = 360°/2
So y + x = 180°