Answer:
The perimeter is the distance all the way around the outside of a 2D shape. To calculate the perimeter, sum the lengths of all the sides.
Therefore, perimeter of the triangle = (2x - 8) + (2x + 5) + (30 - 3x)
Collect like terms: 2x + 2x - 3x - 8 + 5 + 30
Combine like terms: x + 27
Therefore, perimeter of triangle = x + 27
We are told that the perimeter is 25:
x + 27 = 25
Subtract 27 from both sides: x = -2
If x = -2, then the side with equation 2x - 8 = (2 x -2) - 8 = -12
A length cannot be negative, therefore the perimeter cannot equal 25.
Answer:
34°
Step-by-step explanation:
1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.
2. (Solving for ∠1)
3. Now, since we know ∠1 = ∠7, ∠7 = 34°.
Answer:
40units²
Step-by-step explanation:
find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.
do the formula for rectangle
A = bh
A = 8×2
A = 16
Now the formula for Trapezoid
A = 1/2h(b+b)
A = 1/2×4(4+8)
A = 1/2×4(12)
A = 1/2(48)
A = 24
16+24 = 40
Answer:
6x^3(x+2)(x-7)
Step-by-step explanation:
1st step: factor out common term, 6x^3(x^2 - 5x - 14)
2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)
3rd step: simplify, 6x^3(x+2)(x-7)
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