To find the equation of the line, we need to figure out the slope and y-intercept.
To find the y-intercept, look at the number where the line intersects the y-axis. The number is 5. The equation so far is y = ?x + 5.
We still didn't figure out the slope yet. To figure out the slope, pick two points. Use the rise over run method. It is in the image below. The line is going up to the left, so the slope will be negative. Now we know the slope is -1/3. The equation now that we figured out the slope is y = -1/3x + 5.
I hope this helps you! Let me know if I got something wrong.
An equilateral shape is a shape that has all congruent sides.
<em>Sandy has a greater probability of selecting an equilateral shape</em>
Given
Sandy: <em>Equilateral triangle, Rhombus, and Regular hexagon</em>
Robert: <em>Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle</em>
All three shapes in Sandy's shape bucket are equilateral.
So, the probability that Sandy picks an equilateral shape is 1
All five shapes in Robert's shape bucket are non-equilateral.
So, the probability that Robert picks an equilateral shape is 0
By comparing the probabilities:
<em>1 is greater than 0</em>
Hence, Sandy is more likely to pick an equilateral shape than Robert.
Read more about probabilities at:
brainly.com/question/24297863
<u>ANSWER: </u>
The length of a side of the triangle is 17 inches.
<u>SOLUTION:
</u>
Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square.
And the side of the triangle is 8 inches longer than the side of the square.
Let the length of the side of a triangle be x.
And the length of the side of a square be y.
perimeter of triangle = a + b + c , where a , b, c represents side
perimeter of square = a + a + a +a , where a represents side
Given, the perimeter of an equilateral triangle is 15 inches more than the perimeter of square. Hence we form a equation as
Then, x + x + x = 15 + y + y + y + y
3x = 15 + 4y ---- (1)
Now, given that, x = 8 + y ---- (2)
Substitute (2) in (1)
3(8 + y) = 15 + 4y
24 + 3y = 15 + 4y
4y – 3y = 24 – 15
y = 9
Now, substitute y value in (2)
x = 8 + 9 = 17
Hence, the length of a side of the triangle is 17 inches.
It is closer to 1. 5/6 is 16 less than 1 and 5/6 is 1/3 more than 1/2, so it would be closer to 1.