S=sodas h=hotdogs
228=s+h
s=3h
228=3h+h 228=4h h=57
228=s+57 s=171
Answer: 171 sodas and 57 hotdogs were sold by the vendor
Answer: Answers and explanations down below.
Step-by-step explanation:
1. 90- 24= 66
<u>m<FCG= 66 degrees</u>
2. 24+31=55
180-55= 125
<u>m<BCD= 125 degrees</u>
3. 90+24=114
<u>m<FCB=114 degrees</u>
4. 90+66=156
<u>m<ACG=156 degrees</u>
We need to solve for x by completing the square of the given mathematical expression (x+7)(x-9) = 25.
First, we need to perform multiplication of (x+7) and (x-9) such as the expression become:
(x+7) (x-9) = 25
x² -9x +7x -63 = 25
x² - 2x = 25 + 63
Then perform addition of constant values 25 and 63
x² - 2x =88
Add +1 in both sides to complete the expression such as:
x² - 2x +1 = 88 +1
(x-1)(x-1) = 89
(x-1)² = 89
We see that (x-1) is a perfect square, we can now solve for the value of x such as:
(x-1) = +-√89
x1 = +√89 + 1
x1 = 10.4
x2 = -√89 +1
x2 = -8.4
The answers are 10.4 and -8.4.
<span>100-6x=160-10x
100 - 160 = -10x +6x
-4x = -60
x = -60 / -4
x = 15</span>
