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zubka84 [21]
3 years ago
13

Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart be

low.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ

Mathematics
1 answer:
mixer [17]3 years ago
6 0

Answer:

What is the volume of a sphere with a radius of 24 units? A. 92167 units O B, 230477 unite 3 O c. 18A324 units D. 13,8247 units

Step-by-step explanation:

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Mateo makes 6 loaves of banana bread he sells 2/3 of the loaves
Zinaida [17]
He sold 4 loaves of  bread 
4 0
4 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
4 years ago
How do you multiply 23.50*23.74
Mamont248 [21]

Answer:

557.89

Step-by-step explanation:

Download photomath on Appstore it'll help you explain. but basically you multiply each digit at the bottom to the whole number on the top

    23.50

<u>x   </u><u>23.74</u>

       940     ====== 23.50 multiply to 4

    16450     ====== 23.50 multiply to 7

    70500    ====== 23.50 multiply to 3

<u>+   470000   </u> ====== 23.50 multiply to 2

   557.890    ====== Add all the numbers together, move the decimal sign down to align with the result

<u />

4 0
4 years ago
What is the prime factor of 350
scZoUnD [109]

Answer:

If we put all of it together we have the factors :2 x 5 x 5 x 7 = 350.

Step-by-step explanation:

It can also be written in exponential form as 21 x 52 x 71.

Hope this is helpful .

8 0
3 years ago
Read 2 more answers
Does anyone know this?
PIT_PIT [208]

Answer:

it has 5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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