Answer:
59
Step-by-step explanation:
5
12
27
41
51
59
=195/6=32.5
Answer:
A
Step-by-step explanation:
This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.
To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).
Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.
So the expression is likely x(x+1)^2 (x-3).
Since only one factor has an exponent, the answer is A.
The length of BC = 72
Solution:
Given ΔABC and ΔDEF are similar triangles.
ΔABC 
ΔDEF
AB = 54, BC = n, EF = 12, DE = 9
Similar triangle theorem:
If two triangles are similar then the corresponding sides are proportional to each other.
Substitute the given values, we get
Do cross multiplication.
Divide both sides of the equation by 9.
⇒ BC = 72
Option B is the correct answer.
The length of BC = 72.
Answer:
angle ABC is 130 degrees
Step-by-step explanation:
This is the quickest and simplest way to gind the answer.
Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.
