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: 9 5/7
Step-by-step explanation:
Answer:
c=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(c+1)=10
(2)(c)+(2)(1)=10(Distribute)
2c+2=10
Step 2: Subtract 2 from both sides.
2c+2−2=10−2
2c=8
Step 3: Divide both sides by 2.
2c
2
=
8
2
c=4
Answer:
I <em>believe</em> the answers are= 2, 3, 6, 8
Step-by-step explanation:
For #2, you would subtract 2 from both sides. 10-2=8. x=8.
For #3, you would add 4 to both sides of the equation, making the final answer: x=8
For #6, you would divide both sides by 3. 24 divided by three is 8.
For #8, I multiplied the whole equation by 8, which is the denominator of x/8. 1 times 8=8. The final answer would be x=8.
Hope this helps!
