The length of DE is 4 unit.
In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
We have ABC is isosceles with AB=AC=8 units and BC=6 units.
and, ABC is a bigger triangle with AB = AC = 8 and BC = 6
Smaller triangle BDE is created by joining D and E, which represent the middles of AB and BC, respectively.
The midpoint is D. AB = 8 then AD = 4.
Also, BE = 4.
Triangles ABC and BDE are similar triangles.
DE/ AC = BD/ AB = BE/ BC
DE/ 8 = 4/8 = 3/6
DE = 4.
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Answer: x = 28, y = 47
**Remember, these are just the values of the variables, not the angle measures. In order to find the angle measures, you need to plug these in. **
Step-by-step explanation:
Finding x
40+5x=180
Subtract 40 from both sides --> 5x=140
Divide by 5 --> x=28
In order to find y, you need the angle to the left of the 40 degrees. (180-40) which is 140. Because the (3y-1) and 140 are across from one another, they are equal, so we set them equal, then get y alone.
3y-1 = 140
(add 1 to both sides) 3y = 141
(divide by 3) y = 47
Answer:
Answer D
Step-by-step explanation:
The solution to the inequality 2x³ – 3x² – 14x ≥ 0, as indicated by the graph provided, is given by the intervals of x where the function is increasing. Therefore, the solution is comprised of the intervals [-2, -1] and [3.5, ∞].
The solution to 2x³ – 3x² ≥ 14x can be found by solving the inequality. First, let's rearrange the inequality to: 2x³ – 3x² – 14x ≥ 0. This equation represents where the function is positive (above the x-axis) on the graph. Therefore, we must identify the intervals of x where the function increases or decreases.
Based on the description of the graph, the function increases in the intervals (-2, -1) and (3.5, ∞) and decreases in the interval (-1, 3.5). So, the solution to the inequality would be the union of the intervals where the function increases: [-2, -1] U [3.5, ∞].
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x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
For which set of data will the scatter plot represent a negative linear association between x and y? (4 points)
Set A
Set B
Set C
Set D
Answer:
Hence, the set that represent a negative linear association between x and y is:
Set A.
Step-by-step explanation:
We are given 4 sets of data as:
Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
We are asked to determine the set which represent negative linear association between x and y?
y=11-x or y= -x+11.
Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.
Hence, the set that represent a negative linear association between x and y is:
Set A.
Answer:
it is set a
Step-by-step explanation: