Answer:
ΔABC≅ΔDEC by AAS
Step-by-step explanation:
You can use the AAS method of congruency.
Since you already have <BAC and <EDC congruent to eachother, and sides BC and EC congruent to each other, you only need that one remaining angle in between. <ACB can be proven congruent to <DCE by the Vertical Angles Theorem, and that gives you the AAS you need to prove that these two triangles are congruent
Hope this helped.
Answer:
You may likely be charged an Overdraft fee or amount on each of the transactions carried out by you and you will have to repay the bank the overdrawn amount.
Step-by-step explanation:
Based on the information given we were told that you opt out of an overdraft protection which means that in a situation were you have the amount of $10 in your bank account in which you carried out some transactions with your debit card such as buying lunch for the amount of $12, movie ticket for the amount of $12 and as well dinner for the amount of $15 the end result is that their is likelihood of you to be charged an overdraft fee or an overdraft amount on each of the transaction carried out by you and secondly you will also need to repay or pay back the bank for the amount of money overdrawn which is $29 calculated as :
Amount overdrawn =[($12+$12+$15)-$10]
Amount overdrawn=$39-$10
Amount overdrawn =$29
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
Answer:
That is AMAZING. Your drawings are really good, thank you for sharing them!
Step-by-step explanation:
If you want, could you do Frisk with a ponytail? You don't have to, of course!
Answer: 1.87 kg of pears
Step-by-step explanation:
7.5 kg of both apples and pears were sold. 3/4 of this 7.5 kg is apples which means the amount of apples sold is:
= 7.5 * 3/4
= 5.63 kg of apples
The amount of pears sold would therefore be:
= Total amount sold - Amount of apples
= 7.5 - 5.63
= 1.87 kg of pears
