Mitch can grow 150 wild flowers with every seed packet. Write an equation that shows the relationship between the number of seed
1 answer:
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<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;
where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;
Multiplying both sides of the equation by 2, we have;
Simplifying, we have;
Adding both sides of the equation by 2, we get;
Dividing both sides of the equation by 10, we have;
Thus, the value of x is 5.
Answer:
40 cm
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, simplifying gives
4 =
Multiply both sides by (x + 2)
4(x + 2) = 48 ( divide both sides by 4 )
x + 2 = 12 ( subtract 2 from both sides )
x = 10
Hence
width = 4x = 4 × 10 = 40