The Angle HCA is equal to 52°. This is arrived at using the knowledge of the Total value of Angles in a Triangle and the Total Value of Angles in a Polygon.
<h3>
What other principles were used to arrive at the answer?</h3>
The other principles of mathematics that were used to arrive at the above answer are:
- Total Angles on a straight line;
- Total Angles on a point; and
- Line segments.
<h3>What are the Steps to the Solution? </h3>
Step 1 - Recall that we have been given Angles AHB and BAH to be 128° and 28° respectively.
We also know that:
- The sum of angles in a triangle is 180°;...................A
- The sum of angles on a straight line is 180°;.........B
- The sum of angles in a polygon is 360°; while.....C
- The total sum of angles at a point is 360°.............D
Since A...therefore:
When ∠AHB (128°) and ∠BAH are taken from 180° we have DBA = ∠28°.
By observation, we can deduce that ∠BDE, ∠CDH, ∠CEH and ∠AEH are all right-angled triangles.
Using the above, we are able to repeat this process of solving for each angle until we have ∠HCA.
To verify that our answer is correct, recall that sum of angles in a polygon is 360°
That means:
∠BDA + ∠DHE + ∠CEH + ∠HCA = 360°
That is, 90+ 128 + 90 + 52 = 360°
See attached images and;
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If the producer is wise person who cares more about their business than personal comfort, then it would be true.
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The graph of the normal distribution of the random sample size of 24 will have the shape of a bell curve.
The value of k such that P(-2.069 < T < k) = 0.965 is 2.5
<h3>How to determine the value of k?</h3>
The sample size is given as:
n = 24
This means that the degrees of freedom is:
df = n - 1
df = 24 - 1
df = 23
The probability is given as:
P(-2.069 < T < k) = 0.965
This can be rewritten as:
P(T>-2.069) - P(T>k) = 0.965
The value of P(T>-2.069) at a degrees of freedom of 23 and = 0.025 is 0.975
So, we have:
0.975 - P(T>k) = 0.965
Collect like terms
P(T>k) = 0.975 - 0.965
Evaluate the difference
P(T>k) = 0.01
The value of k that makes P(T>k) = 0.01 is 2.5.
So, we have:
k = 2.5
Hence, the value of k is 2.5
Read more about normal distribution at:
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The diagram which shows the parallelogram method for vector addition is shown in the image attached below.
In this scenario, let the two (2) vectors representing the two (2) adjacent sides of a parallelogram in both magnitude and direction drawn from a common point be:
The parallelogram law of vector addition states that if two (2) vectors and represent the two (2) adjacent sides of a parallelogram in both magnitude and direction drawn from a common point, then their sum or resultant vector () is equal to the diagonal of the parallelogram passing through that point in both magnitude and direction.
Therefore, the diagram which shows the parallelogram method for vector addition is shown in the image attached below.
Read more on parallelogram method for vector addition here: brainly.com/question/18261687
Answer: A- unlucky or unfortunate; pitiable
Explanation: The words around it help me figure out the meaning!