Answer:
see the procedure
Step-by-step explanation:
we know that
m∠1+m∠2=180° -----> supplementary angles (form a linear pair)
we have
m∠1=27° ----> given problem
substitute the measure of m∠1 in the equation above and solve for m∠2
27°+m∠2=180°
Subtract 27° both sides
27°+m∠2-27°=180°-27° ----> by subtraction property of equality
m∠2=153°
Answer:
Step-by-step explanation:
Isolate the term of n from one side of the equation.
<h3>n-1/8=3/8</h3>
<u>First, add by 1/8 from both sides.</u>
n-1/8+1/8=3/8+1/8
<u>Solve.</u>
<u>Add the numbers from left to right.</u>
3/8+1/8=4/8
<u>Common factor of 4.</u>
4/4=1
8/4=2
<u>Rewrite as a fraction.</u>
=1/2
n=1/2
<u>Divide is another option.</u>
1/2=0.5
n=1/2=0.5
- <u>Therefore, the final answer is n=1/2=0.5.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
18
Step-by-step explanation:
You can see from the table that 2 bracelets are made every 30 minutes.
There are 9 intervals of 30 minutes each in 4.5 hours.
So, the number of bracelets that are made in 4.5 hours is
9x2=18
Another way to see this is to note from the table that 4 bracelets are made in 60 minute, which is 1 hour. So, in 4 hours, 16 bracelets will be made. Also, from the table, 2 bracelets are made in 30 minutes, which is 1/2 hour. So, adding up, 18 bracelets are made in 4.5 hours.
Answer:

Step-by-step explanation:
Given

--- domain
Required
Determine the range
To do this, we simply substitute the values of n in the given expression
So, we have:






Hence, the range is:

Answer:
The answer is 1,550
Step-by-step explanation:
First you find the area of the rectangle 1
Area = ab
=(21 in) (17in)
=357 sq in.
this will be the same for rectangle 3 = 357 sq. in.
next find the area of rectangle 2
area=ac
=(21 in) (11 in)
=231 sq in.
this will be the same for rectangle 4 = 231 sq. in.
next find the area of rectangle 5
area = bc
=(17 in) (11 in.)
=187 sq. in
this will be the same for rectangle 6 = 187 sq. in.
Next add all areas together
Total surface area = 2(ac) + 2(ab) + 2(bc)
= 2(231) sq in. + 2(357) sq in. + 2(187) sq. in
= 462 + 174+ 374
= 1550 sq. in