Answer:
CD = 38
Step-by-step explanation:
Since AB = 3x + 2, CD = 3x + 2
To solve for the length of CD, we'll need to solve for x first by using the perimeter formula
Solving for x...
Now that we know what x equals, plug in x into the expression of side CD
CD = 3x + 2
CD = 3(12) + 2
CD = 36 + 2
CD = 38
Therefore, the length of side CD = 38
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Check:
AB = CD | BC = DA
38 + 38 for AB and CD
BC + DA = 2x + 2x
BC + DA = 2(12) + 2(12)
BC + DA = 24 + 24
BC + DA = 48
38 + 38 + 48 = perimeter
perimeter = 124
9514 1404 393
Answer:
- base area: 21 ft²
- volume 105 ft³
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = (1/2)bh
The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.
A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area
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The volume is the product of the base area and the height:
V = Bh
V = (21 ft²)(5 ft) = 105 ft³ . . . . volume
Answer:
17x and 3x
Step-by-step explanation:
like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
