Answer:
x=5
AOB = 8
BOC = 13
AOC = 21
Step-by-step explanation:
<em>Angle AOB and Angle BOC is equal to Angle AOC.</em>
AOB = x+3
BOC = 4x-7
AOC= 2x+11
AOB + BOC = AOC
x+3+4x-7 = 2x+11
5x-4 = 2x+11
3x = 15
x = 5
Therefore, the value of x is 5.
<em>Angle AOB = x+3</em>
AOB = 5+3
AOB = 8
<em>Angle BOC = 4x-7</em>
BOC = 4(5)-7
BOC = 13
<em>Angle AOC = 2x+11</em>
AOC = 2(5)+11
AOC = 21
!!
Answer:
12. -11
13. 2
Step-by-step explanation:
12. First recall the order of operations (BEDMAS): Brackets, Exponents, Division, Multiplication, Addition, Subtraction
For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.
From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.
Your new equation is -10-8+7 = -11
13. follow the same as above using BEDMAS. It may help to look at it with additional brackets: ((-68)/(-4)) + ((5 x (-3))
- keep in mind there’s an addition between the two
Division and multiplication is on the same level in BEDMAS so first divide -68/-4 = 17
Second multiply 5 x -3 = -15
Now you can combine the two answers using addition: 17 + (-15) = 2
Answer:
Its a function
Step-by-step explanation:
x cant be the same
Answer:
bc= 6
Step-by-step explanation:
since the triangles are similar, the sides are in a ratio
xz/ac = 20/4 (5:1)
yx/ba = 15/3 (5:1)
yz/bc = 5:1 = 30/6