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Hello!
∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:
∠E + 119 = 180
Now subtract 119 from both sides of the equation:
∠E = 61
We have now proven that ∠E is equal to 61 degrees.
I hope this helps!
204 - (-36) = 204 + 36 = 240
Note:
a+(-b) = a-b
a-(+b) = a-b
a+(+b) = a+b
a-(-b) = a+b
Hope that helped :)
Answer:
Cynthia will have to pay $152.16 extra in finance charges.
Step-by-step explanation:
Cynthia had a credit card with a 17% APR and a $3,265 balance.
Cynthia’s credit card company has increased her interest rate to 21%.
Here we have two scenarios, 1st when p = 3265 r = 17% and n = 24
Second when p = p = 3265 r = 21% and n = 24
Scenario 1:
EMI formula is :
Putting the values in formula we get;
= 
EMI = $161.43
Scenario 2:
r = 
Putting the values in formula we get;
= 
EMI = $167.77
Now, difference in EMI's = 
dollars
And for 24 months this amount becomes = 
dollars
Therefore, Cynthia will have to pay $152.16 extra in finance charges.
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by <em>x</em> and the cost of a child's ticket is represented by <em>y</em>, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
