Answer:
The slope remains a constant
as it is parallel.
Explanation:
1. Line Q is defined as a slope of
; i.e. 
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
Answer:
17.7 cm
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
Hypotenuse = √Opposite ² + Adjacent ²
Opposite = 12 cm
Adjacent = 13 cm
Hence,
Hypotenuse = √12² + 13²
= √144 + 169
= 17.691806013 cm
Approximately = 17.7 cm
Therefore, the measure of the Hypotenuse is 17.7 cm
Answer:
(-138) is the answer.
Step-by-step explanation:
Perfect square numbers between 15 and 25 inclusive are 16 and 25.
Sum of perfect square numbers 16 and 25 = 16 + 25 = 41
Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.
Since sum of an arithmetic progression is defined by the expression
![S_{n}=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where n = number of terms
a = first term of the sequence
d = common difference
![S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]](https://tex.z-dn.net/?f=S_%7B8%7D%3D%5Cfrac%7B8%7D%7B2%7D%20%5B2%5Ctimes%2017%2B%288-1%29%5Ctimes%201%5D)
= 4(34 + 7)
= 164
Sum of 15 +
= 15 + 164 = 179
Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 
= -138
Therefore, answer is (-138).
Answer: 
Step-by-step explanation:
Given
The cylinder is 20 cm high
The radius of the cylinder is 
The total area of the figure is the sum of the rectangle and two circles
![\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BPerimeter%20P%3D%7D2%5Bh%2B2r%5D%5C%5C%5CRightarrow%20P%3D2%5B20%2B6%5D%5C%5C%5CRightarrow%20P%3D52%5C%20cm)
The total area of the figure is

Answer:
O C. 5.76 in2
Step-by-step explanation:
To find the <u>area</u> of a square, the formula is
length x width = area
length = 2.4
width = 2.4
2.4in x 2.4in = 5.76 in2
in2 is the part of the answer since in x in = in2