Answer:
x = 15
Step-by-step explanation:
A full circle = 360°
Therefore,
(8x - 10)° + (6x)° + (10x + 10)° = 360°
Solve for x
8x - 10 + 6x + 10x + 10 = 360
Add like terms
24x = 360
Divide both sides by 24
x = 360/24
x = 15
Answer:
(b) It is symmetrical about
Step-by-step explanation:
Given
See attachment for options
Required
True statement about the graph
First, we check the line of symmetric
Expand
Open bracket
A quadratic equation has the following line of symmetry
By comparison, the equation becomes:
Hence, the line of symmetry is at:
(b) is true.
Click on the picture! This is the explanation in accident I deleted it hope it helps!
1st is 19
2nd is 23
3rd is 27
4th is 31
5th is 35
6th is 39
7th is 43
8th is 47
9th is 51
10th is 55
This is because you are adding 4 each time, the rule of the sequence is 4n+15
Answer:
The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
We know that P = 34cm
34 = 6*w + 10
Subtract 10 from both sides
24 = 6 * w
Divide both sides by 6
4 = w
Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.
l = 2*4 + 5
l = 8 + 5
l = 13
The dimensions of the rectangle is 13cm x 4cm