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2 years ago

Line JM intersects line GK at point N.

Mathematics

2 answers:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

Choices B and E

Step-by-step explanation:

because that's what heroes do

(answer on edge2020)

Alex_Xolod [135]2 years ago

6 0

Answer:

AngleMNL is complementary to AngleKNL.

AngleGNM is supplementary to AngleJNK

Step-by-step explanation:

Ray NL creates two angles in the lower right quadrant. They total 90°, so the two angles formed are complementary. The relation is ...

∠MNL + ∠KNL = ∠MNK = 90°

Hence ∠MNL and ∠KNL are complementary.

∠GNM and ∠JNK are both right angles (and also vertical angles). Because their sum is 180°, they can be said to be supplementary.

∠GNM and ∠JNK are supplementary.

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The figure shows a square floor plan with a smaller square area that will accommodate a combination fountain and pool.The floor

dem82 [27]

Answer:

(x, y) = (7, 4) meters

Step-by-step explanation:

The area of the floor without the removal is x^2, so with the smaller square removed, it is x^2 -y^2.

The perimeter of the floor is the sum of all side lengths, so is 4x +2y.

The given dimensions tell us ...

x^2 -y^2 = 33

4x +2y = 36

From the latter equation, we can write an expression for y:

y = 18 -2x

Substituting this into the first equation gives ...

x^2 -(18 -2x)^2 = 33

x^2 -(324 -72x +4x^2) = 33

3x^2 -72x + 357 = 0 . . . . write in standard form

3(x -7)(x -17) = 0 . . . . . factor

Solutions to this equation are x=7 and x=17. However, for y > 0, we must have x < 9.

y = 18 -2(7) = 4

The floor dimension x is 7 meters; the inset dimension y is 4 meters.

8 0

2 years ago

Which of these equations have no solution? Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) =

o-na [289]

Answer:

2(x + 2) + 2 = 2(x + 3) + 1
2x + 3(x + 5) = 5(x – 3)
5(x + 4) – x = 4(x + 5) – 1

Step-by-step explanation:

It can be easier to see the answer if you subtract the right side of the equation from both sides, then simplify.

1. 2(x + 2) + 2 = 2(x + 3) + 1

2(x + 2) + 2 - (2(x + 3) + 1) = 0

2x +4 +2 -2x -6 -1 = 0

-1 = 0 . . . . no solution

2. 2x + 3(x + 5) = 5(x – 3)

2x + 3(x + 5) - 5(x – 3) = 0

2x +3x +15 -5x +15 = 0

30 = 0 . . . . no solution

3. 4(x + 3) = x + 12

4(x + 3) - (x + 12) = 0

4x +12 -x -12 = 0

3x = 0 . . . . one solution, x=0

4. 4 – (2x + 5) = (–4x – 2)

4 – (2x + 5) - (–4x – 2) = 0

4 -2x -5 +4x +2 = 0

2x +1 = 0 . . . . one solution, x=-1/2

5. 5(x + 4) – x = 4(x + 5) – 1

5(x + 4) – x - (4(x + 5) – 1) = 0

5x +20 -x -4x -20 +1 = 0

1 = 0 . . . . no solution

3 0

2 years ago

Read 2 more answers

melomori [17]

Answer: an increase in the average speed a car travels and a decreased in the time it takes to reach the destination

Step-by-step explanation:

7 0

2 years ago

Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains

antoniya [11.8K]

<u>Answer:</u>
<span>Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.</span>

6 0

2 years ago

Read 2 more answers

The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hours. Foraging for a shorter t

Veronika [31]

Answer:

Therefore F=2.387 hours gives a minimum value of energy expenditure E.

Step-by-step explanation:

Given that,

The energy expended by a bird per day

$E=0.25 F+\frac{1.7}{F^2}$

Differentiating with respect to F

$E'=0.25 -\frac{3.4}{F^3}$

Again differentiating with respect to F

$E''=\frac{10.2}{F^4}$

Now set E'=0

$0.25 -\frac{3.4}{F^3}=0$

$\Rightarrow \frac{3.4}{F^3}=0.25$

$\Rightarrow F^3=\frac{3.4}{0.25}$

$\Rightarrow F=2.387$

Now $E''|_{F=2.387}=\frac{10.2}{2.387^4}>0$

Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.

Therefore F=2.387 hours that minimizes energy expenditure.

7 0

2 years ago