Answer:
C
Step-by-step explanation:
<h3>
Answers: x = 30 and y = 150</h3>
============================================================
Explanation:
For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.
One pair of such angles is A and C
A+C = 180
x+y = 180 is one equation to form
The other pair of supplementary angles is B and D
B+D = 180
y-45+2x+15 = 180
2x+y-30 = 180
2x+y = 180+30
2x+y = 210 is the other equation to form
--------------
So the system of equations we have is
![\begin{cases}x+y = 180\\2x+y = 210\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dx%2By%20%3D%20180%5C%5C2x%2By%20%3D%20210%5Cend%7Bcases%7D)
Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.
- The x terms subtract to x-2x = -x
- The y terms subtract to y-y = 0y = 0, so the y terms go away
- The right hand sides subtract to 180-210 = -30
We end up with -x = -30 which solves to x = 30
--------------
Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y
Let's say we picked on the first equation
x+y = 180
30+y = 180
y = 180-30
y = 150
Or we could pick on the second equation
2x+y = 210
2(30) + y = 210
60+y = 210
y = 210-60
y = 150
Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.
Answer:
I believe its 90
Step-by-step explanation:
570/633
The number of liver cells it would take to form an end to end chain 10 in long is 12,700 liver cells
<h3>Calculating quantity</h3>
From the question, we are to determine how many liver cells it would take to form an end to end chain 10 in long
First, we will convert 10 in to meters
1 inch = 0.0254
∴ 10 inches = 0.254 m
From the giving information,
A liver cell is about 20 μm in diameter
∴ The number of liver cells it would take to form an end to end chain 10 in long = 0.254 m / 20 μm
= 0.254 m / (20 ×10⁻⁶) m (NOTE: 1μm = 10⁻⁶m)
= 12700
Hence, the number of liver cells it would take to form an end to end chain 10 in long is 12,700 liver cells
Learn more on Calculating quantity here: brainly.com/question/2021001
#SPJ1
spiders - 2 times 7 = 14 cents
teddy bears - 60 divided by 12 = 5
59.76 times 5 = $298.80
video games - 5 times 12 = 60
156 times 5 = $780
$780 + $298.80 + 14 cents = $1078.94
the total cost was $1078.94