Answer:
c
Step-by-step explanation:
Answer:
The correct option is C. 14.
Step-by-step explanation:
First you have that the perimeter of a rectangle = (2·length) + (2·width)
⇒perimeter of a rectangle = [2·( x + 7)] + [2·(2x - 3)]
⇒ 32 = [2·( x + 7)] + [2·(2x - 3)] ⇒ 32 = (2x + 14) + (4x - 6)
⇒ 32 = 6x + 8 ⇒ 32 - 8 = 6x ⇒ 24= 6x ⇒ 24/6 = x ⇒ x = 4. ⇒ 3x= 12.
The straight line is perpendicular to y = -3x + 4.
Therefore, the gradient of the straight line must be 3.
The equation of the straight line is y = 3x + 2.
For this problem, if we used b to represent your base angle measurement, you would add 8b+2b and set it equal to 180. This is because the measure of the vertex angle is 8 times the base angle measurement, so we had to multiply b by 8. We also had to add it to the other angle measures, so the other angle measures are represented as 2b since they are the same length. We then have to set this equal to 180 since that measures of a triangle must add up to 180. Then we combine like terms on our “b” side to get 10b=180. Then we divide both sides by 10 and we get b=18, which is the measure of our base angle.
When A is divided: A /
By the sum of a certain number and 10: (n + 10)
When A is divided by the sum of a certain number and 10: A / (n + 10)
The result is the same as: =
Dividing 3: 3 /
By the sum of that number and 4: (n + 4)
The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).
Final Equation: A / (n + 10) = 3 / (n + 4)
To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.
3(n + 10) = A(n + 4)
3n + 30 = An + 4A
30 - 4A = An - 3n
30 - 4A = n(A - 3)
n = (30 - 4A) / (A - 3)
If you know the value of A, then please plug it in to the value for n given above.
Hope this helps!
