Answer:
1, 2
Step-by-step explanation:
the only things that go into it are 1 and 2
1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 3 = ⅓(6) + 5 -> 3 = 7, which is false.
- 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
- -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
- 3 = ⅓(-6) + 5 -> 3 = 3, which is true.
So, the answer is (4) (-6, 3)
2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:
- y - 5 = 0.75x - 1.5
- y = 0.75x + 3.5
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
- 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
- 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
- 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.
So, the answer is (1) (6, 8).
X-8/5=2/4
4(x-8)=5(2)
4x-32=10
4x=10+32
4x=42
x=42÷4
x=10.5
The value of the length of BC is 45 units
<h3>How to determine the length BC?</h3>
The given parameters are:
BC = 15x
AD = 32x - 2
EF = 20.5x + 8
Where the parallel bases are AD and BC and the midsegment is EF
By the midsegment theorem, we have
2 * EF = AD + BC
Substitute the known values in the above equation
2 * (20.5x + 8) = 15x + 32x -2
Open the bracket
41x + 16 = 15x + 32x - 2
Evaluate the like terms
6x = 18
Divide both sides by 6
x = 3
Substitute x = 3 in BC = 15x
BC = 15 * 3
Evaluate
BC = 45
Hence, the value of the length of BC is 45 units
Read more about isosceles trapezoid at:
brainly.com/question/10187910
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