Answer:
A
Step-by-step explanation:
The segment BC joining the midpoints of 2 sides of the triangle is
Half the length of the third side, that is
x + 31 = 2(x + 19)
x + 31 = 2x + 38 ( subtract x from both sides )
31 = x + 38 ( subtract 38 from both sides )
- 7 = x → A
She would sell it for $26.60 after the markup.
Answer:
and 
Step-by-step explanation:
The correct equation is:

To solve by completing the square method.
Solution:
We have:

In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.
We can write as:

[As
]
Adding both sides by 

Taking LCD to add fraction.


Taking square root both sides.


Subtracting both sides by
:


So, we have:
and 
and 
and
(Answer)
Answer:
True ; false ; False ; true
Step-by-step explanation:
Equation 1:
7 20 + □ = 19 20
19 / 20 - 7/20
(19 - 7) / 20
12/ 20 = 3/5
Equation 2:
□ + 3 10 = 3 15
3/5 + 3/10
(6 + 3) / 10 = 9/10
Equation 3:
1 2 + 2 3 = □
1/ 2 + 2/3
(3 + 4) / 6
7 / 6
Equation 4:
1 10 + 1 2 = □
1/10 + 1/2
(1 + 5) / 10
6 / 10 = 3/5
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
and solving for a:
so
a = 143.0