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marissa [1.9K]
4 years ago
11

The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .

Mathematics
1 answer:
kotegsom [21]4 years ago
4 0

Answer:

21

Step-by-step explanation:

All three sides are equal

2x-7 = x+y-9 = y+5

Using the last two

x+y-9 = y+5

Subtract y from each side

x+y-9-y = y+5-y

x-9 = 5

Add 9 to each side

x -9+9 = 5+9

x=14

We know the side length is

2x-7

2(14) -7

28-7

21

The side length is 21

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1. What is the value of n?
Karo-lina-s [1.5K]
N=5
AC = 33
AC = 150

Explanation:
If two chords intersect inside a circle, the products of their segments is equal.  For this circle, this means that
(n+1)(18)=(n+7)(9)

Using the distributive property on both sides,
n*18+1*18 = n*9+7*9
18n+18=9n+63

Subtract 9n from both sides:
18n+18-9n=9n+63-9n
9n+18=63

Subtract 18 from both sides:
9n+18-18=63-18
9n=45

Divide both sides by 9:
9n/9 = 45/9
n=5

The measure of an inscribed angle is equal to half of the measure of the intercepted arc.  For the second image, this means that
2.5x+4=1/2(7x-2)

Using the distributive property: 
2.5x+4=1/2(7x)-1/2(2)
2.5x+4=3.5x-1

Subtract 2.5x from both sides:
2.5x+4-2.5x=3.5x-1-2.5x
4=1x-1

Add 1 to both sides:
4+1=1x
5=1x
5=x

Substitute this in for x in AC:
7x-2=7*5-2=35-2=33

For the third image, we have
75=1/2(AC)

Multiplying both sides by 2:
75*2=AC
150=AC
5 0
4 years ago
X-2y=4 How to solve this
WARRIOR [948]
Since <span>x </span>does not contain the variable to solve for, move it to the right side of the equation by subtracting <span>x</span> from both sides
.−2y=−x+4
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4 0
3 years ago
What is the solution of the following system? Use the substitution method.
Tatiana [17]

Answer:

y-2x=8 (label equation 1)

16+4x=2y (label equation 2)

divide equation 2 by 2 to find y

y=2x+8

sub this in equation 1

(2x+8)-2x=8

2x+8-2x=8

8=8

once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B

3 0
3 years ago
A student athlete is participating in the hammer throw. The student rotates in uniform circular motion with the mass rotating 2.
Mice21 [21]

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Step-by-step explanation:

6 0
3 years ago
Find the perimeter of the window to the nearest hundredth.<br><br> also how do you do it?
k0ka [10]

  • <em>I am assuming the picture is of a stained glass window in the shape of a semicircle</em>.

Answer: 7.71 feet.

Step-by-step explanation: <em>The formula for finding the circumference of a circle is \frac{1}{2} π × d + d.</em>

The diameter is 3 feet. Substitute this into the equation:

\frac{1}{2} π × 3 + 3.

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3.14 × 3 = 9.42

\frac{1}{2} of 9.42 = 4.71

4.71+3 = 7.71

Round -

The answer is already rounded.

Hope this helped!~

6 0
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