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yarga [219]
3 years ago
11

Is the triangle congruent? If so, please state how you know.

Mathematics
1 answer:
fomenos3 years ago
5 0
I think yes because they are both the same (or congruent) because they both equal 180°
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The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how
nikklg [1K]

I hate rounding.

Let's call the diagonal x.  It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})

Only the positive value makes any sense for this problem, so we conclude

x = \frac 1 2(9 \pm \sqrt{329})

That's the exact answer.  Did I mention I hate rounding?  That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent.  By the Pythagorean Theorem the diagonal satisfies

x^2 = (x-4)^2 + (x-5)^2

which works out to

x=9 \pm 2\sqrt{10}

That's not consistent with the first answer; this problem really has no solution.  Tell your teacher to get better material.

5 0
3 years ago
Spencer bought a soccer ball for $9. 95 and z baseballs for $2. 99 each. Which of the following expressions shows the total amou
Elan Coil [88]

Answer:

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2 years ago
Please help me on this question?!!!!!!!!
Gnesinka [82]

Answer: 10, 1/10, 2/5

Step-by-step explanation:

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3 years ago
The graph for the equation y=-2x+1 is shown below.
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Answer:

Step-by-step explanation:

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y = -2x+6 = -2(x-3) is another equation that gives no solution to the system.

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3 years ago
Every 2/3 hour, Harris can sew 1/6 pair of jeans.
Lera25 [3.4K]
.25 or 1/4 
i hope that this answer helps you today 

6 0
3 years ago
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