Answer:
see explanation
Step-by-step explanation:
The perimeter is the length of all 6 sides of the polygon.
Note that the 2 unknown sides are
8 - 4 = 4 mm and 8 - 2 = 6 mm
Starting with the left side
Perimeter = 8 + 2 + 4 + 6 + 4 + 8 = 32 mm
The polygon can be split into 2 rectangles.
The lower rectangle with sides of 8 and 4
and the upper rectangle with sides 2 and 4
Area = (8 × 4) + (2 × 4) = 32 + 8 = 40 mm²
Answer:
the middle two
Step-by-step explanation:
multiplying by 10 is the same as moving the decimal place one to the right. dividing by 10 is the same as moving the decimal place one to the left. so that means , , , and , which leaves the middle two as your answers
Just as an example, three consecutive integers might be 4,5,6.
If x is the least of these (4 in our example), then the other two integers would be x+1, and x+2.
Then the sum of our three integers is x + (x+1) + (x+2).
Addition is commutative so we can switch any two terms, and it is also associative so we can regroup any terms. This lets is rearrange things with all the "x" together and all the numbers together like this:
(x+x+x) + (1+2) OR 3x + 3
According to the problem, the sum is 126, so 3x+3 = 126.
3x = 123
x = 41 (which is the smallest consecutive integer)
Check our answer: 41 + 42 + 43 = 126.
Answer:
4x-2
Step-by-step explanation:
6x-6-2x+4
=4x-2
Answer:
7 cm
Step-by-step explanation:
The two triangles are similar, so you can set up a proportion where (36/6) = (42/x). When you solve for x, you get seven.