Answer:
We know that the interior angles of any triangle equal 180. Therefore in the left triangle, C must equal 53 in order for the interior angles to equal 180° (65+62+53)
Since these triangles are equal they are congruent. Congruent triangles share the same angles. Therefore C is equal to G. If c is 53 then m<G is also 53. x=53
Additionally, the side lengths of congruent triangles are equal. Therefore 11 is equal to x-y
x is 53 so 53-y=11
-y=-42
y=42
x=53
Step-by-step explanation:
Answer:
The joint probability distribution of X and Y is shown below.
Step-by-step explanation:
The distributions of X and of Y are described as follows:
X : 0 1
P (X) : 0.23 0.77
Y : 1 2 3
P (Y) : 0.40 0.22 0.38
It is provided that X and Y are independent.
That is:
P (X ∩ Y) = P (X) × P (Y)
Compute the joint probability distribution of X and Y as follows:

X 0 1
<u>Y </u>
1 0.9200 0.3080
2 0.0506 0.1694
3 0.0874 0.2926
Reflecting over the x axis means to perform the following tranformation:

So, you maintain the x coordinate, and change the sign of the y coordinate. The vertices become

Translating 3 units to the left means to perform the following transformation:

So, you maintain the y coordinate, and decrease the x coordinate by 3. The vertices become

So, as you can see, after these two transformation, the vertices A, B and C become A', B' and C'.
Answer:
a)
$2.79 per pound.
$0.93 per apple.
b)
Unit price per pound is typically used because weight and size of every apple is not same.
Step-by-step explanation:
5 pound bag of organic apples = $13.95
1 pound bag of organic apples = $13.95/5
= $2.79
The unit price of apples that cost $13.95 for 5 pounds is $12.79 per pound.
<em>As a general rule, 1 pound of apples is equal to: 4 small apples. 3 medium apples. 2 large apples. So, here we assume that apples are of medium size.</em>
3 apples cost = $2.79
<em>The unit price means 'what is the cost of 1 apple'</em>
1 apple cost =$2.79/3
=$0.93
The unit price of apples that cost $2.79 for 3apples is $0.93 per apple.
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The answer is D. I graphed it on this website called desmos. The solution is where the lines intersect.