Here, angle 1 and angle 2 are congruent (as they are equal in magnitude ) because they are a pair of corresponding angles (as they are at same location on transversal line)
In short, Your Answer would be Option B
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Answer:
15 purple cupcakes.
Step-by-step explanation:
Since purple is 25% and PJ decorated 60 cupcakes,
25% of 60 = 15.
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Ten percent of 3000 is 300 ten percent of that is 30 add ten and it's 40
The measure of EC is 1 ft.
Solution:
Given data:
AD = 8 ft, DB = 2 ft, AE = 4 ft
To find the measure of EC:
Using triangle proportionality theorem,
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>


Do cross multiplication.

8 EC = 8
Divide by 8 on both side of the equation, we get
EC = 1
EC = 1 ft
Hence the measure of EC is 1 ft.
Answer:
The player should be required to pay $5 to make this a fair game.
Step-by-step explanation:
U ~ Uniform(0, 10)
E[U] = (0 + 10)/2
= 5
X | U ~ Poisson(U)
E[X | U] = U
By law of total probability for expectations,
E[X] = E[E[X|U]] = E[U] = $5
Therefore the player should be required to pay $5 to make this a fair game.