Answer:
Step-by-step explanation:
10²-7² (C squared minus B squared equals A squared) (basically Pythagorean theorem but reversed)
100-49= 51 (square the numbers and subtract)
Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
Answer:
20%
Step-by-step explanation:
Value increased in 5 years = £95000 - £80000 = £5000
Value increase in 1 year =5000/5 = 1000
Increase % = (1000/5000 ) * 100 = (1/5) *100 = 20%
6 1/12 - 4 2/3
6 1/12 - 4 8/12
5 13/12 - 4 8/12
1 5/12
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
BC² = AB² + AC²
BC² = 4² +4² = 32
BC = √32 = 4√2
BC = 4*1.41 = 5.64
The length of segment BC is 5.64 m.
