The interior angles next to the 2h angles are congruent and each one measures 70 degrees. Since the interior angle is 70 degrees the exterior angle is 110 degrees.
2h = 110
divide both sides by 2
h = 55
4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b² )
125x³ = (5x)³ ⇒ a = 5x
343y³ = (7y)³ ⇒ b = 7y
125x³ + 343y³
= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)
= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form
<span>Total pocket money: N600
Spent as follows:
Books N50
Pen N80
Maths set N270
Bag N150
Food N50
To find: Angles that pen and food represent on pie chart.
Solution: Pie is made on circle, and sum of angles of a circle is 360°.
Angle that pen represent = (80/600)*360° = 48°
Angle that food represent = (50/600)*360° = 30°</span>
