Answer:
Step-by-step explanation:
step 1
Find the measure of the arc DC
we know that
The inscribed angle measures half of the arc comprising
![m\angle DBC=\frac{1}{2}[arc\ DC]](https://tex.z-dn.net/?f=m%5Cangle%20DBC%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20DC%5D)
substitute the values
![60\°=\frac{1}{2}[arc\ DC]](https://tex.z-dn.net/?f=60%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20DC%5D)
step 2
Find the measure of arc BC
we know that
----> because the diameter BD divide the circle into two equal parts
step 3
Find the measure of angle BDC
we know that
The inscribed angle measures half of the arc comprising
![m\angle BDC=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=m%5Cangle%20BDC%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)
substitute the values
![m\angle BDC=\frac{1}{2}[60\°]](https://tex.z-dn.net/?f=m%5Cangle%20BDC%3D%5Cfrac%7B1%7D%7B2%7D%5B60%5C%C2%B0%5D)
therefore
The triangle DBC is a right triangle ---> 60°-30°-90°
step 4
Find the measure of BC
we know that
In the right triangle DBC
substitute the values
Answer:
I believe it's C. Wingspan is a continuous quantitative variable.
Answer:
<h2><u>Required</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>
Ratio = Width: Height
Ratio = 720 : 540
Cancelling 0
Ratio = 72 : 54
Cancelling by 9
Ratio = 8 : 6
Cancelling be 2
Ratio = 4 : 3
Answer:
14.4% decrease
Step-by-step explanation:
Here is the formula for finding the percentage of decrease:
(starting value - final value) / starting value * 100.
So for your question,
/
There was a 14.4% decrease within 50 years.
Answer:
y = 3x + 2
Step-by-step explanation:
Let's identify two clear points on this line. I can see (0, 2) and (-1, -1)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-1 - 2) / (-1 - 0)
Simplify the parentheses.
= (-3) / (-1)
Simplify the fraction.
-3/-1
= 3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (0, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 3(0) + b
To find b, multiply the slope and the input of x(0)
2 = 0 + b
Now, we are left with 0 + b.
2 = b
Plug this into your standard equation.
y = 3x + 2
This is your equation.
Hope this helps!
