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Maurinko [17]
2 years ago
15

What is the value of x?

Mathematics
2 answers:
erica [24]2 years ago
7 0

Answer:

x = 24

Step-by-step explanation:

(2x - 4) + (3x + 5) + (2x + 11) = 180°

Combine like terms:

7x + 12 = 180

Subtract 12 on both sides:

7x = 168

Divide 7 on both sides:

x = 24

CaHeK987 [17]2 years ago
7 0
X=24 in this equation.
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Four times the sum of three consecutive integers is 156.Write and solve an equation that will find the smallest integer.
Burka [1]

Answer:

4(x+x+1+x+2)=156, x=12

Step-by-step explanation:

let the numbers be x, x+1 and x+2.

Now,

4(x+x+1+x+2)=156

4(3x+3)=156

divide both side by 4

3x+3=156/4=39

subtract 3 from both sides

3x=39-3

3x=36

divide both sides by 3

x=36/3=12

x=12

Hence, the smallest of the integers is 12.

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3 years ago
Circle 1 is centered at (5, 8) and has a radius of 8 centimeters. Circle 2 is centered at (1, −2) and has a radius of 4 centimet
Masja [62]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilation's) can be found that map one figure onto another.  

In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.

we have that

Circle 1 is centered at (5,8) and has a radius of 8 centimeters

Circle 2 is centered at (1,-2) and has a radius of 4 centimeters

step 1

Move the center of the circle 1 onto the center of the circle 2

the transformation has the following rule

(x,y)--------> (x-4,y-10)

so

(5,8)------> (5-4,8-10)-----> (1,-2)

center circle 1 is now equal to center circle 2  

The circles are now concentric (they have the same center)

step 2

A dilation is needed to decrease the size of circle 1 to coincide with circle 2

scale factor=radius circle 2/radius circle 1-----> 4/8----> 0.5

radius circle 1 will be=8*scale factor-----> 8*0.5-----> 4 cm

radius circle 1 is now equal to radius circle 2  

therefore

A translation, followed by a dilation will map one circle onto the other, thus proving that the circles are similar

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3 years ago
What rigid transformation will take triangle GBC onto triangle ABC?
Softa [21]

Answer ITll take an obtusue from.

Step-by-step explanation:

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Which unit would be best for measuring the thickness of a coin
choli [55]

Answer: Milimeters (mm)

Step-by-step explanation:

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Answer:

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