Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;
Therefore;
Which gives;
Similarly, given that EF is parallel to AB, we get;
Therefore;
Which gives;
Therefore, the statement that can be proved using the given theorem is segment BF = 16.
Answer:
Step-by-step explanation:
<u>This is an AP with:</u>
- The first term a₁ = 12
- Common difference d = 3
- Number of terms n = 40
<u>Number of the seats:</u>
- Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)
- S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seats
<u>Formula of nth term:</u>
- aₙ = a₁ + (n - 1)d
- aₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9
- aₙ = 3n + 9
Answer:
Im not exactly sure about the answer but I don’t think it is linear because linear means straight. APC and CPB are not straight.
Step-by-step explanation:
Answer:
-1/5
Step-by-step explanation:
When a line is perpendicular to another line, it's gradient will be a reciprocal.
To calculate the reciprocal of a number you have to flip the fraction the other way around.
So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.
The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.
Answer: c = 3
Step-by-step explanation: First, make sure you simplify the left side of the equation by combining our <em>c terms</em> together.
So we have 9c - 6c - 2c + 5c which simplifies to 6c.
So now we have the equation 6c = 18.
To solve for <em>c</em> in this equation, we want to get <em>c</em> by itself on the left side of the equation. Since <em>c</em> is being multiplied by 6, to get <em>c</em> by itself, we need to divide by 6 on the left side of the equation. Since we divided by 6 on the left side, we must also divide by 6 on the right side.
On the left side, the 6's cancel out so we're simply left with <em>c</em>. On the right side we have 18 divided by 6 which is 3 so we have <em>c = 3</em>.
