The image<span> is inverted. The </span>figure<span> and the </span>image<span> have a common point. The common point is the </span>center<span> of </span>dilation<span>. </span>
1 - complementary = 90- 30 = 60
suplementary = 180- 30 = 150
2 - area = hb/2 = 360 = hb/2 = h = 72
3 - similar
4- see number 3
5 - asa, ssa, sas
6 - polygon that had all equal angle measures and sides (equiangular and equilateral)
7 - length x width = area so
240 / 24 = 10
8 - line
9 - triangle
10 - 180, as see in question 1
vote me brainliest ):>
We have been given a system of equations.
and
. We are asked to find the solution of our given system of equations.
The solution of our given system of equations will be the point, where both lines will intersect.
To find intersection point, we will equate both equations as:





Now we will substitute
in equation
and solve for y.

Therefore, the point
is the solution of our given system of equations.
We can verify our answer by graphing both equations.
214.2 pounds if each gallon produce 18 pounds of carbon dioxide.
Answer:
a. independent event P(AuB)=P(A)+P(B)
b. mutually exclusive event P(AuB) = P(A) + P(B) - P(AnB)
c. independent event P(A and B) = P(A).P(B)
d. complement P(A') = 1 - P(A)
Step-by-step explanation:
a. For two events A and B the union of the two sets is simply all the elements present in both set. This can be expressed as
P(AuB)=P(A)+P(B)
b. Two events are said to be mutually exclusive if they cannot occur at the same time. i.e no same element must be present in both events at a time. This can be expressed as
P(AuB) = P(A) + P(B) - P(AnB)
c. event A and event B are said to be independent if the incidence of event A does not affect the probability of the event B.
This can be expressed as
P(A and B) = P(A).P(B)
d. complement of an event are simply all the occurrence not in he set but in the universal set.
the complement of set A can be expressed as
P(A') = 1 - P(A)