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Shtirlitz [24]
2 years ago
6

For the following right triangle, find the side length x

Mathematics
1 answer:
Liula [17]2 years ago
7 0

Answer:

26

Step-by-step explanation:

To find the side length of a right triangle with the other two sides already, known, use the <em>Pythagorean Theorem, </em>

a²<em> </em>+ b² = c²

or

24² + 10² = x²

24 times 24 is 576,

10 times 10 is 100,

Add them together to get 676,

And then find the square root.

√676 = 26 :)

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Analyze the diagram below and answer the question that follows. If &lt;10 and &lt;15 are congruent, which lines are parallel? A.
yanalaym [24]

If angle 10 and 15 are congruent ( the same) that would mean lines a and b would need to be parallel with each other because that have the same angles.

The answer ic C.

7 0
3 years ago
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What is one of the solutions to the following equations? y2+x2=53<br> Y-x=5
Olenka [21]
(1)  y² + x² = 53
(2)  y - x = 5 ⇒ y = x + 5

subtitute (2) to (1)

(x + 5)² + x² = 53      |use (a + b)² = a² + 2ab + b²

x² + 2x·5 + 5² + x² = 53

2x² + 10x + 25 = 53     |subtract 53 from both sides

2x² + 10x - 28 =0     |divide both sides by 2

x² + 5x - 14 = 0

x² - 2x+ 7x - 14 = 0

x(x - 2) + 7(x - 2) = 0

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subtitute the values of y to (2)

for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3

Answer: x = 2 and y = 7 or x = -7 and y = 3
4 0
4 years ago
If one movie ticket cost $15, how much will 5 movie tickets cost
Anettt [7]

Answer:

$75

Step-by-step explanation:

15 x 5 = 75

trust me bro :)

7 0
3 years ago
Can you Graph the image A(4,-1) after a translation 7 units up?
rusak2 [61]
(4,6) is the correct answer
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How to find the square root of complex numbers?? Find the square root of (6+8i) ??​
ivann1987 [24]

Answer:

2 \sqrt{2}  + i \sqrt{2}

Step-by-step explanation:

The square of a complex number is a complex number. Here, we have:

{(a + bi)}^{2}  = 6 + 8i

{a}^{2}  + 2abi -  {b}^{2}  = 6  + 8i

We then have this system of equations:

{a}^{2}  -  {b}^{2}  = 6

2ab = 8

Solving this system:

ab = 4

b =  \frac{4}{a}

{a}^{2}  -  {( \frac{4}{a}) }^{2} = 6

{a}^{2}  -  \frac{16}{ {a}^{2} } = 6

{a}^{4}  - 16 =  6{a}^{2}

{a}^{4}  - 6 {a}^{2}  - 16 = 0

( {a}^{2}  - 8)( {a}^{2}  + 2) = 0

{a}^{2}   = 8

a = 2 \sqrt{2}

b =  \frac{4}{2 \sqrt{2} } =  \sqrt{2}

6 0
2 years ago
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