Find the value of x and y that make these triangles congruent by HL.
2 answers:
Answer: the correct option is (A) x = y = 2.
Step-by-step explanation: We are given to find the values of x and y that makes the triangles in the figure congruent by HL.
From the figure, we note that
triangles ABC and AED are right-angled triangles with hypotenuse AC, AD and one congruent side BC, ED.
Also, AC = 2x + 3, AD = 3y+1, BC = x and ED = y.
Since the triangles are congruent by HL postulate, so we must have
Substituting the value of x from equation (i) in equation (ii), we get
So, from equation (i), we arrive at
x = y = 2.
Thus, the correct option is (A).
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In plain text, it is appropriate to express the division using a division bar (/) and parentheses around the numerator and denominator:
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)
It is best to reserve the square root symbol (√) for an actual square root.
Your quotient is
3x^2 -2x +5
(3x^4 +7x^3 +2x^2 +13x +5)/(x^2 +3x +1)
It is best to reserve the square root symbol (√) for an actual square root.
Your quotient is
3x^2 -2x +5
Answer:
See attached
Step-by-step explanation:
When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.
For a linear equation in standard form, ax +by = c
- the x-intercept is: c/a
- the y-intercept is: c/b
- the slope is: m = -a/b
Of course, the slope-intercept form of the equation is ...
y = (slope)·x + (y-intercept)
and the values of the various points on the graph can be computed from that equation.
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You will note that the last two equations describe the same line.
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<em>Note on spreadsheet formulas</em>
When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.
