What types of quadrilaterals have congruent diagonals?
1 answer:
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Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>
<h3>Mass of each side of hanger </h3>Assuming the mass of the square is x, the equation for the first side is:
= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)
= ( 3 x 2) + ( 2 x 4) + ( 6 × x)
= 6 + 8 + 6x
Mass of other side:
= (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)
= ( 2 x 2) + ( 5 x 4) + ( 3 × x)
= 4 + 20 + 3x
<h3>Mass of square </h3>As both sides are equal, equate both formulas to find x:
6 + 8 + 6x = 4 + 20 + 3x
6x - 3x = 24 - 14
3x = 10
x = 10/3
x = 3.33 grams
In conclusion, each square is 3.33 grams.
Find out more on problems requiring equating at brainly.com/question/20213883.
Hi student, let me help you out! :)
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We are asked to find the equation of the line, using the given information:
, which is the slope
which is a point that the line contains
- The slope is the number before x, in the form
.
Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:
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Now, we need to find the y intercept, "b", of the line.
Here's how it's done:
Remember the point that the line contains, (1,2)?
Well, its y-coordinate is 2; so what we do is substitute 2 for y:
Also, its x-coordinate is 1, so we substitute 1 for x:
Now, solve for b:
Add 3 to both sides:
Thus, we have
Thus, the equation of the line is:
Hope it helps you out! :D
Ask in comments if any queries arise.
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