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Helen [10]
3 years ago
6

11.REINFORCE The lengths of three sides of a triangle are 2x, 3x - 4, and x+4. Find a value of x that makes the triangle equilat

eral.
Mathematics
1 answer:
mash [69]3 years ago
5 0

Answer:

x=4

Step-by-step explanation:

It suffices to equate any two sides and then check whether the solution is valid for the third side.

Taking 2x and 3x-4 and equating:

2x = 3x-4

x = 4

This means the sides are both of length 8. Now check whether for x=4 the third side is also of length 8:

x+4=4+4=8

which indeed works out confirming x=4 being a valid solution

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Need geometry help ASAP please!
tatiyna

Answer:

1. 121 π  unit²

2. 143°

3. 151 unit²

Step-by-step explanation:

1.

Area of a circle is given by the formula  A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

A=\pi r^2\\A=\pi (11)^2\\A=121\pi

The answer is  121\pi units^2

2.

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

3.

Area of a sector is given by the formula  A=\frac{\theta}{360}*\pi r^2

Where

\theta is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99

<em>rounding to the nearest whole number, it is </em>151 units^2

3 0
4 years ago
To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will
Sholpan [36]

co·ef·fi·cient

ˌkōəˈfiSHənt/Submit

noun

1.

MATHEMATICS

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).

So, 22 is your coefficient.

5 0
3 years ago
Then find the values of x and y?
attashe74 [19]
Y+8=3y
-2y=-8
y=4

104*2=208
360-208=152
152/2=76

x=76°
6 0
3 years ago
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Contact [7]
<span> -2 • (5w - 3) ————————————— 45
hope this works</span>
8 0
3 years ago
Drag an expression or phrase to each box to complete the proof.
QveST [7]

<4 ≅ <1, 3 <≅ 2                              Corresponding angles postulate

ΔACE ≈ ΔBCD                               Angle angle similarity postulate

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3 0
3 years ago
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