Supplementary angles equal 10 degrees.
Let angle 6 = X
Angle 5 is 24 more than half of angle 6, which can be written as 1/2X +24
So now we have X + 1/2x +24 = 180
Combine the like terms ( X +1/2X = 1.5X)
1.5x + 24 = 180
Subtract 24 from each side:
1.5x = 156
Divide both sides by 1.5:
x = 156 / 1.5
X = 104
Angle 6 = 104 degrees.
Angle 5 = 180 - 104 = 76 degrees
12=5x-13x-44
combine like terms
12 = -8x -44
add 44 to each side
12+44 = -8x
56= -8x
divide by -8 on each side
56/-8 = x
-7 =x
The ratio would be 26 over 34 because 24 passed and if 8 missed then you add those two to figure out how many leople were in the class
Answer:
43cm²
Step-by-step explanation:
let's first consider the area of a square.
the area is L² which means all sides are equal so we take the length times the breadth which is both equal because like we said all sides are equal.
so to find the side of the square using the area, we take the square root of both of the area.

and also

so we have the height of the triangle as 5cm and the base is 4.2cm.
now, from the triangle, since we have two sides and it's a right-angled, we can use Pythagoras' formula.

so the side 6.53cm is also the same side as the largest triangle. Since it's a square, all sides are equal. So we find the area of the largest triangle by using the formula
Area = L²
Area = 6.53²
Area = 42.6cm
the nearest cm square
Area = 43cm²
<u><em>The total number of red counters that are in the box is; 728 red counters</em></u>
- We are told that the box contains 1079 counters.
Let the number of white counters be x.
Let the number of red counters be y.
Let the number of black counters be z.
Thus;
z:x = 2:7
Thus; 2x/7 = z
Also, we are given;
x:y = 3:8
Thus;
8x/3 = y
- Since total number in the box is 1079,then;
x + y + z = 1079
x + (8x/3) + (2x/7) = 1079
Multiply through by 21 to get;
21x + 56x + 6x = 22659
83x = 22659
x = 22659/83
x = 273
2x/7 = z
Thus; z = 2 × 273/7
z = 78
8x/3 = y
y = 8 × 273/3
y = 728
273 white counters
728 red counters
78 black counters.
Read more at; brainly.com/question/11712611