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Serggg [28]
3 years ago
11

What postulate or theorem proves the two triangles are similar?

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

AA postulate

Step-by-step explanation:

In Δ GHI

∠ H = 180° - (90 + 26)° = 180° - 116° = 64° = ∠ L

Thus ∠ M = ∠ I and ∠ H = ∠ l

Thus the 2 triangles are similar by the AA postulate

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Each side of a cube measures 5 cm in length. What is the cubes volume?
AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

V = a^{3}

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

V = 5^{3}

Now we solve:

5^{3} = 125\\

This is also the same as:

5 *5*5 = 125

Your FINAL answer should be 125 cm³

____________________________________________________

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!
Naddik [55]

Answer:

Step-by-step explanation:

a) To find the length of diagonal XT, we can use the distance formula to get \sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10

Since this is a rectangle, XT=YW, meaning YW=10 as well.

b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.

c) The perimeter is just 2(8+6)=28.

8 0
2 years ago
Find (h-f)(x)???????
vichka [17]
Multiply both variables individually by the multiplied variable (x)... and you find yourself with -fx + hx.... Remember to bring that negative integer along too or the answere that I have without a negative integer won't count... I hope this clarified your understanding and question. As always good spiruts
8 0
3 years ago
The radius of the sun is approximately 700,000 kilometers. What is the volume of the sun?
Anit [1.1K]
The radius of the sun is approximately 700,000 kilometers<span>. What is the </span>volume of the sun? V = F | m. 4)(700000km<span>)? V = 1.436 X 1018 km3. The </span>volume of the sun is approximately<span> 1.436 X 1018 km². 6. An ice cream cone has </span>a diameter<span> of 3 inches.</span>
5 0
3 years ago
Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
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