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saveliy_v [14]
3 years ago
15

Three identical coins, labeled A, B, and C in the figure, lie on three corners of a square 10.0 cm on a side. Determine the x co

ordinate of each coin, xA, xB, and xC.
Mathematics
1 answer:
shepuryov [24]3 years ago
5 0
<span>The line of symmetry of the triangle bisects the right angle and the diagonal of the square.
The line is 1/2 the length of the square's diagonal :

(1/2)(10√2) = 5√2. 

</span>Let CG be a distance x from the vertex of the right angle in the triangle.
Remaining distance = 5√2 - x. 
<span>
(1)(x) = (2)(5√2 - x)</span>
x = 10√2 - 2x
<span>3x = 10√2 </span>
<span>x = (10/3)√2. 
</span>
Using Pythagorean theorem,
x^2 + y^2 = c^2
 
<span>c = (10/3)√2,
and x = y,
so 2x^2 = 200/9
x = √(100/9) = 10/3 = y. 
</span>
<span>x = y = 3.333</span>
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Elenna [48]

Answer:

977.65

Step-by-step explanation:

Add three amounts together divide that number by 3.

2932.95/3=977.65

8 0
4 years ago
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What are the factors of x^2 - 81<br> (X + 9)(x -9)<br> (x-9)(x -9)<br> (x + 3)(x - 27)<br> Prime
vazorg [7]

Answer:

A. x-9 and x+9 because these are perfect squares. 9 times -9 is -81. x times x is x^2. 9 + -9 is 0

7 0
4 years ago
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15
alexandr1967 [171]

By using parallel lines and transversal lines concept we can prove m∠1=m∠5.

Given that, a║b and both the lines are intersected by transversal t.

We need to prove that m∠1=m∠5.

<h3>What is a transversal?</h3>

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

m∠1+m∠3= 180° (Linear Pair Theorem)

m∠5+m∠6=180° (Linear Pair Theorem)

m∠1+m∠3=m∠5+m∠6

m∠3=m∠6

m∠1=m∠5 (Subtraction Property of Equality)

Hence, proved. By using parallel lines and transversal lines concept we can prove m∠1=m∠5.

To learn more about parallel lines visit:

brainly.com/question/16701300

#SPJ1

7 0
2 years ago
Which ordered pair is a solution of the equation y = x - 3? (-2, 5) (-5, 2) (2, 5) (5, 2)
IceJOKER [234]
2=5-3 so the answer is (2, 5)
5 0
3 years ago
Write the equation of the circle centered at (-4,3) with a radius of 7
Harrizon [31]

Answer:

(x + 4)² + (y - 3)² = 49

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 4, 3) and r = 7 , thus

(x - (- 4))² + (y - 3)² = 7² , that is

(x + 4)² + (y - 3)² = 49

5 0
3 years ago
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