Answer:
Step-by-step explanation:
Multiply the first bracket by 13
Multiply the second bracket by -4
13(6-x)-4(3x+12)=0
78-13x-12x-48=0
30-25x=0
-25x+30-30=0-30
-25x=-30
Divide by -25 for -25x and-30
x=30/25 reducing: 6/5= 1 1/5
Answer can be 30/25 or 6/5 or 1 1/5
I'm pretty sure it would be 118 but I might be wrong
Answer:
Area = 25 square inches.
Step-by-step explanation:
Consider the large base triangle first. The height is 15 - 5 = 10
The base across is 10 (the length of the smaller stick).
The Area of that triangle is 1/2 * b * h
Area = 1/2 * 10 * 10 = 50
Now the smaller triangle is the same base (the smaller stick of 10) * the height of 5
Area = 1/2 b * h
Area = 1/2 10 * 5
Area = 25
total area of the kite = 50 + 25 = 75
Answer:
22 units
Step-by-step explanation:
The perimeter of a polygon is said to be the sum of the length of it's sides.
From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are
A = (−1, 3)
B = (−1, 6)
C = (2, 10)
D = (5, 6)
E = (5, 3)
To find the distance between two points, we use the formula
d = √[(y2 - y1)² + (x2 - x1)²]
Between A and B, we have
d(ab) = √[(6 - 3)² + (-1 --1)²]
d(ab) = √(3²) + 0
d(ab) = √9 = 3
Between B and C, we have
d(bc) = √[(10 - 6)² + (2 --1)²]
d(bc) = √[4² + 3²]
d(bc) = √(16 + 9) = √25 = 5
Between C and D, we have
d(cd) = √[(6 - 10)² + (5 - 2)²]
d(cd) = √[(-4)² + 3²]
d(cd) = √(16 + 9) = √25 = 5
Between D and E, we have
d(de) = √[(3 - 6)² + (5 - 5)²]
d(de) = √(-3)² + 0
d(de) = √9 = 3
Between E and A, we have
d(ea) = √[(3 - 3)² + (5 --1)²]
d(ea) = √[0 + (6)²]
d(ea) = √36 = 6
The perimeter is given as
d(ab) + d(bc) + d(cd) + d(de) + d(ea) =
3 + 5 + 5 + 3 + 6 = 22 units
