Answer:
This is B) A reflection over the y-axis.
Step-by-step explanation:
You can tell this in a picture due to the fact that each point on the corresponding triangle is equidistant from the y-axis. Take the point at the bottom for instance. In both pictures, it is 2 spaces away from the y axis.
Answer:
Step-by-step explanation:
two angles are said to be supplementary if their sum is 180 degrees
Hence <1 + <2 = 180
Given
<1 = 28
Required
<2
Substitute into the formula
28+<2 =180
<2 = 180-28
<2= 152
Hence the measure of <2 is 152 degrees
Answer:
16. 3
17. 12 / 7
18. 24 / 5 ( or ) 4.8
Step-by-step explanation:
16.
2 / ( x - 1 ) = 1
2 = x - 1
x = 2 + 1
x = 3
17.
( x / 3 ) + ( x / 4 ) = 1
LCM ( 3, 4 ) = 12
x / 3 = 4x / 12
x / 4 = 3x / 12
( x / 3 ) + ( x / 4 ) = 1
( 4x / 12 ) + ( 3x + 12 ) = 1
( 4x + 3x ) / 12 = 1
7x / 12 = 1
7x = 12
x = 12 / 7
18.
( x / 3 ) + ( x / 2 ) = 4
LCM ( 3, 2 ) = 6
x / 3 = 2x / 6
x / 2 = 3x / 6
( x / 3 ) + ( x / 2 ) = 4
( 2x / 6 ) + ( 3x / 6 ) = 4
( 2x + 3x ) / 6 = 4
5x / 6 = 4
5x = 24
x = 24 / 5
( or )
x = 4.8
Answer: The answer in terms of A is 19456A
Step-by-step explanation: First, find the area of the circle: π × r². Equation: A×32² = 1024A
Then, multiply this by the height, 19. Equation: 1024A × 19
The final answer would be 19456A.
Answer:
17, 19 and 21
Step-by-step explanation:
Consecutive odd numbers mean odd numbers that are right next to each other.
Eg: 3, 5, 7
Let x represent the youngest sister. The sister older than her will be 2 years older than her, hence (2 + x). The oldest sister would be 4 years older than the youngest and two years older than the middle sister, hence (4 + x).
The sum of their age = 57.
Hence:
x + (2 + x) + (4 + x) = 57
x + 2 + x + 4 + x = 57
Simplify
3x + 6 = 57
Rearrange
3x = 57 - 6
3x = 51
Divide both sides by 3 to make x on its own (this way we can find the age of the youngest sister).
x = 17 (youngest sister is 17 years old)
x + 2 = 19 (middle sister is 19 years old)
x + 4 = 21 (oldest sister is 21 years old)