Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)

Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
Answer:
16 cm2
Step-by-step explanation:
By equa tion of area of triangle: S = 1/2 * height * base
Triangle B: 32 = 1/2 * 8 * x --> x = 8 (cm)
The base of triangle A is half of the base of triangle B so it is 4 cm.
The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)
Answer:
- <u><em>There are 20,000 number available.</em></u>
Explanation:
To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.
I will assume the same number of digits for other similar questions, i.e. 7.
With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.
Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.
Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.
In total, there are 20,000 numbers available.
Answer:
goes into the box
Step-by-step explanation:
Let the number be
, then

We now use the following property of exponents to simplify the left hand side of the equation.

This implies that;


Since the bases are the same, we equate the exponents to get;

We now multiply both sides by 3 to get;


Therefore the number that goes into the box is 
Answer:
Lien
Step-by-step explanation:
The correct answer to this question is "Lien". This is the term that describes the right of a lender to sell collateral to get back the principal if the borrower cannot repay the loan is called the lien. Hope this helps answer your question.