<h3><em>(HCF)=(36,60,84)</em></h3><h3><em>Factors of 36
</em></h3><h3><em>
</em></h3><h3><em>List of positive integer factors of 36 that divides 36 without a remainder.
</em></h3><h3><em>
</em></h3><h3><em>1,2,3,4,6,9,12,18,36</em></h3><h3>Factors of 60
</h3><h3>
</h3><h3>List of positive integer factors of 60 that divides 60 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,5,6,10,12,15,20,30,60</h3><h3>Factors of 84
</h3><h3>
</h3><h3>List of positive integer factors of 84 that divides 84 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,6,7,12,14,21,28,42,84</h3><h3 /><h3>We found the factors 36,60,84 . The biggest common factor number is the HCF number.
</h3><h3>So the highest common factor 36,60,84 is 12.</h3><h3><em>HOPE IT HELPS....</em></h3>
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
2.6 = 2.600
So, 2.6 is not bigger than 2.661
Answer:
a) 5.83 cm
b) 34.45°
Step-by-step explanation:
a) From Pythagoras theorem of right triangles, given right triangle ABC:
AB² + BC² = AC²
Therefore:
AC² = 5² + 3²
AC² = 25 + 9 = 34
AC = √34
AC = 5.83 cm
b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.
From Pythagoras theorem of right triangles, given right triangle ACD:
AD² + AC² = DC²
Therefore:
DC² = 5.83² + 4²
DC² = 34 + 16 = 50
DC = √50
DC = 7.07 cm
Let ∠ACD be x. Therefore using sine rule:

Answer:
8
Step-by-step explanation:
5 = 40
1 = x
Then we multiply by the rule of crisscrossing
5 x X = 40 x 1
5x = 40 then divide both by 5
X = 8