Answer:
∠ AOB = 139°
Step-by-step explanation:
Since AOC is a straight line then
∠ AOB + ∠BOC = 180° , that is
8x + 51 + 6x - 25 = 180
14x + 26 = 180 ( subtract 26 from both sides )
14x = 154 ( divide both sides by 14 )
x = 11
Then
∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:


Therefore, the required probability is
.
to get the mixed number just divide the numerator by the denominator;
55 ÷ 3 = 18 1/3
y=-2x+8
y=x-1
Solve y=-2x+8 for y
Substitute -2x+8 for y in y =x-1
y=x-1
-2x+8=x-1
Add -x to both sides
-2x+8+-x=x-1+-x
-3x+8=1
Add -8 to both sides
-3x+8+-8=1+-8
-3x=-9
Divide both sides by -3
-3x/-3=-9/-3
x=3
Substitute 3 for x in y =-2x+8
y=-2x+8
y=(-2)(3)+8
Simplify both sides of the equation
y=2
Answer : y=2 and x=3
(3,2)
I hope that's help !
Answer:
C)√
72
Step-by-step explanation:
We will Simplify the radical by breaking the radicand up into a product of known factors.
When we do this, we figure out that...
A.√
49 = 7
B.√
64 = 8
D.√
121 = 11
BUT C) is different.
√
72 can not be divided into any whole number an exact amount of times.
So instead, this can be solved by writing it as shown:
Exact Form:
6
√
2
Decimal Form:
8.48528137
Thanks for letting me help!!