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Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,
![\angle ECD+\angle CDE+\angle DEC=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ECD%2B%5Cangle%20CDE%2B%5Cangle%20DEC%3D180%5E%7B%5Ccirc%7D)
![43^{\circ}+35^{\circ}+\angle DEC=180^{\circ}](https://tex.z-dn.net/?f=43%5E%7B%5Ccirc%7D%2B35%5E%7B%5Ccirc%7D%2B%5Cangle%20DEC%3D180%5E%7B%5Ccirc%7D)
![78^{\circ}+\angle DEC=180^{\circ}](https://tex.z-dn.net/?f=78%5E%7B%5Ccirc%7D%2B%5Cangle%20DEC%3D180%5E%7B%5Ccirc%7D)
![\angle DEC=180^{\circ}-78^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20DEC%3D180%5E%7B%5Ccirc%7D-78%5E%7B%5Ccirc%7D)
![\angle DEC=102^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20DEC%3D102%5E%7B%5Ccirc%7D)
According to opposite vertical angle property.
![\angle AEB=\angle DEC](https://tex.z-dn.net/?f=%5Cangle%20AEB%3D%5Cangle%20DEC)
![\angle AEB=102^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20AEB%3D102%5E%7B%5Ccirc%7D)
Use angle sum property is triangle ABE.
![\angle ABE+\angle BEA+\angle EAB=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ABE%2B%5Cangle%20BEA%2B%5Cangle%20EAB%3D180%5E%7B%5Ccirc%7D)
![\angle ABE+102^{\circ}+18^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ABE%2B102%5E%7B%5Ccirc%7D%2B18%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\angle ABE+120^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ABE%2B120%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\angle ABE=60^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ABE%3D60%5E%7B%5Ccirc%7D)
Therefore, the measure of angle A is 60 degree.
Answer: Ok so go back to the lesson and read the directions for this page then look at the signs and fill in the page easy
Step-by-step explanation:
Answer:
The expression that calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s is ![\mathbf{Speed=\frac{100}{20} }](https://tex.z-dn.net/?f=%5Cmathbf%7BSpeed%3D%5Cfrac%7B100%7D%7B20%7D%20%7D)
Step-by-step explanation:
We are given:
Distance = 100 m
Time = 20 s
We need to find:
Speed
The formula used is: ![Speed=\frac{Distance}{Time}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D)
Putting values and finding the expression
![Speed=\frac{Distance}{Time}\\Speed=\frac{100}{20}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5CSpeed%3D%5Cfrac%7B100%7D%7B20%7D)
So, the expression that calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s is ![\mathbf{Speed=\frac{100}{20} }](https://tex.z-dn.net/?f=%5Cmathbf%7BSpeed%3D%5Cfrac%7B100%7D%7B20%7D%20%7D)
<em>Note: Kindly recheck your options, As option B is not written correctly.</em>
Answer: the net deposit amount.
Step-by-step explanation:
We know that Michael is making a deposit with a check and wants some cash back.
According to The Federal Reserve System and The Federal Deposit Insurance Corporation, the deposit slip must have the name his name, his account number, date, amount of the check, amount of cash that he want, his signature and the net deposit amount.
Hope this helps!