Answer:
The measure of angle BAC is 20°
Step-by-step explanation:
step 1
Find the measure of arc BC
we have that
m∠BOC=arc BC ------> by central angle
we have
m∠BOC=40°
therefore
arc BC=40°
step 2
Find the measure of angle BAC
we know that
The inscribed angle is half that of the arc it comprises
so
m∠BAC=(1/2)[arc BC]
we have
arc BC=40°
substitute
m∠BAC=(1/2)[40°]
=20°
Answer:
4 is the best answer for it
To answer this question you need to create 2 equations:
S+C=50
2.50S+3.75C=3.35*(50)
S=50-C -so now you can plug in S into the second equation
2.50*(50-C)+3.75C=167.5
Now you just need to solve this equation, the final answer will be 34 pounds of colombian coffee and 16 pounds of sumatra coffee
For the first one c-9=(2)(4)+6
You are gonna multiply 2 and 4 first, 2*4=8. Now you have c-9=8+6. 8+6=14. So now the equation is c-9=14. Now we are going to add 9 to both sides. So c=23
For the second equation 10+y=90. We are going to subtract 10 from both sides. So, y=80.
Third, add 4 to both sides. a=10.
Fourth, subtract 8 from both sides. d=-9
Fifth, 5+2(3+4)=-x.
First we are going to add 3 and 4. 3+4=7. 5+2(7)=-x. Next we are going to multiply 2 and 7. 2*7=14. 5+14=-x. 5+14=19. So our equation is 19=-x. Next we are going to multiply both sides by -1. Making our final equation x=-19.
c=23
y=80
a=10
d=-9
x=-19
I hope that helps, if you need any further explanation just ask.<span />
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
