9514 1404 393
Answer:
x = 12.5
Step-by-step explanation:
The value of x is part of the value of an angle in a triangle where the other angles are known. This suggests that the relevant theorem is the "angle sum theorem," which tells you <em>the sum of angles in a triangle is 180°</em>.
This gives you the equation ...
60° +60° +(4x+10°) = 180° . . . . total of all angles is 180°
4x +130° = 180° . . . . . . . . . . collect terms
4x = 50° . . . . . . . . . . . . subtract 130° from both sides
x = 12.5° . . . . . . . . . divide both sides by 4
Answer:
<em>Solution: x= -36, y=51</em>
Step-by-step explanation:
Solve the system:
x + y = 15
-5x - 3y = 27
By using the reduction method.
Multiply the first equation by 3:
3x + 3y = 45
Add it to the second equation:
3x - 5x = 45 + 27
Simplifying:
-2x = 72
Dividing by -2:
x = 72/(-2)
x = -36
From the first equation:
-36 + y = 15
Adding 36:
y = 15 + 36 = 51
y = 51
Solution: x= -36, y=51
Answer:
B
Step-by-step explanation:
Given
4x² - 72x = 0 ← factor out 4 from each term
4(x² - 18x) = 0
To complete the square
add/subtract (half the coefficient of the x- term)² to x² - 18x
4(x² + 2(- 9)x + 81 - 81) = 0
4(x - 9)² - 4(81) = 0
4(x - 9)² - 324 = 0 ( add 324 to both sides )
4(x - 9)² = 324 ( divide both sides by 4 )
(x - 9)² = 81 ( take the square root of both sides )
x - 9 = ± 
= ± 9 ( add 9 to both sides )
x = 9 ± 9
Then
x = 9 - 9 = 0
x = 9 + 9 = 18
About 47 inches you have to multiply 15 by pi
Answer:
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
Step-by-step explanation:
We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
- If the scale factor > 1, the image is enlarged
- If the scale factor is between 0 and 1, it gets shrunk
- If the scale factor = 1, the object and the image are congruent
The figure seems to have enlarged by a certain scale factor. Thus, the figure b is a result of dilation of the original figure by a certain scale factor.
Rotation, Reflection, and translation do not affect the size of the original figure.
Since dilation is not mentioned in the answer options, thus, the correct option is 'None of the above'.
