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10. Which points are on the line that passes through (-4,-3), (20, 15), and (48, 36) ?
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:
20,21
Step-by-step explanation:
Let x be the first number.
Let y be the 2nd number.
Given y - x = 1 (since they are consecutive)
Rearrange it: y = x+1 (equation 1)
Also given:
(equation 2)
Now we can substitute y = x + 1 into equation 2.
Since we know x, the smaller number is 20, we can substitute to equation 1 to find y, the larger number.
y = 20+1
= 21.
Therefore the 2 numbers are 20 and 21.