Answer: ∠ J = 62° , ∠ K = 59° , ∠ L = 59°
<u>Step-by-step explanation:</u>
It is given that it is an Isosceles Triangle, where L J ≅ K J
It follows that ∠ K ≅ ∠ L
⇒ 5x + 24 = 4x + 31
⇒ x + 24 = 31
⇒ x = 7
Input the x-value into either equation to solve for ∠ K & ∠ L:
∠ K = 5x + 24
= 5(7) + 24
= 35 + 24
= 59
∠ K ≅ ∠ L ⇒ ∠ L = 59
Next, find the value of ∠ J:
∠ J + ∠ K + ∠ L = 180 Triangle Sum Theorem
∠ J + 59 + 59 = 180
∠ J + 118 = 180
∠ J = 62
1. m³
2. cm³
3. s³
<h3>What is Unit?</h3>
A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
1. Volume is measure in m³
2. volume of a rectangular pencil case in cm³
3. V = s x s x s or s³
Learn more about volume here:
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Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula,
, where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,

⇒ 
⇒
{We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
Answer:
The correct option is a
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample size is n = 9
The null hypothesis is 
The alternative hypothesis is 
The level of significance is 
The sample mean is 
Generally the test statistics is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the right corresponding to 1.2 is

Generally the p-value is mathematically represented as

=> 
=> 
From the value obtained w can see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is there is not enough evidence to support the claim