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°
What is the question asking..?
That's easy.
There are 14 days in 2 weeks.
So we would need to multiply 9.5 x 14.
And that would be 133.
Answer:
7 is not a solution for x.
Step-by-step explanation:
To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.
3x + 8 - x = 57 - 4
3(7) + 8 - (7) ?= 57 - 4
21 + 8 - 7 ?= 53
29 - 7 ?= 53
22 ?= 53 (( NO ))
Since 22 does not equal 53, 7 is not a solution for x.
Let's find the solution for x:
3x + 8 - x = 57 - 4
2x + 8 = 53
2x = 45
x = 22.5
Let's validate this solution for x:
3x + 8 - (x) = 57 - 4
3(22.5) + 8 - (22.5) ?= 57 - 4
67.5 + 8 - 22.5 ?= 53
45 + 8 ?= 53
53 == 53 (( YES ))
Since 53 is indeed equal to 53, then 22.5 is a solution for x.
Cheers.
