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➷ Angles on a straight line equal 180 degrees:
5k - 3 + 9 + k = 180
Simplify:
6k + 6 = 180
Subtract 6 from both sides:
6k = 174
Divide both sides by 6:
k = 29
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<u>Answer:</u>
<u>Step-by-step explanation:</u>
We can use the following rule of surds to solve the problem:
,
which means that when multiplying two numbers with the same bases, we can simply add their powers while keeping the base the same.
Applying this rule:

⇒ 
⇒
Answer:
Option b.
y = 4 sin (3x)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The period is
T = 2π/3
This means the frequency in radians is
W = 2π/T = 3
The equation is either:
y = 4 cos(3x)
y = 4 sin (3x)
The correct answer is
Option b.
y = 4 sin (3x)
Answer:
The correct answer is "
".
Step-by-step explanation:
According to the question,
Number of students,
= 35
A ! mid term A,

B : final A,

Didn't start,

Now,
⇒ 

then,
⇒ 

hence,
The probability will be:
⇒ 
⇒
n = 2
distribute and simplify left side of equation
50 - 10n - 1 = 29
49 - 10n = 29 ( subtract 49 from both sides )
- 10n = 29 - 49 = - 20
n =
= 2