Answer:
Step-by-step explanation:
7) The formula for determining the area of a parallelogram is expressed as
Area = base × height.
Length of base = Area/height
Therefore,
Length of base = 7/2 = 3.5 feet
8) The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of the bases
h is the height. Therefore
21 = 1/2(2 + 4)h
21 = 3h
h = 21/3 = 7 inches
9) Area = base × height.
Height = Area/Length of base
Height = 28/14 = 2 inches
10) a and b are 10 inches each.
Area = 1/2(a + b)h
Therefore,
35 = 1/2(10 + 10)h
35 = 10h
h = 35/10
h = 3 inches
Answer:
a = 11, b = 7
Step-by-step explanation:
See picture
Answer:
Step-by-step explanation:
From the picture attached,
Let 'l' be the original line having one angle ∠BAC.
If the original line 'l' is shifted or translated to line 'm', angle BAC will replace the angle BDE.
Since, measure of angles are preserved in the translation,
m∠BDE = m∠BAC [corresponding angles]
Since, ∠BDE ≅ ∠MDA [Vertical angles]
Therefore, m∠MDA = m∠BAC
Hence, alternate interior angles (∠MDA) and (∠BAC) will be congruent when line 'l' is translated to line 'm'.
Answer:
x=24
Step-by-step explanation:
4(2/3x+2)=3x
8/3x+8=3x
collect like terms
8=3x-8/3x
8=
cross multiplication
9x-8x=8 x 3
x=24
Answer: |-20| = 20
Step-by-step explanation:
The absolute value of any number is always going to be that number in it's positive form. In this case, even if it was 20 the absolute value would still be 20. The absolute value is the number's distance from 0. So even if the integer is negative or not, it's distance will still be the same. Hope this helps !
