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°
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Answer:
C- 15 square units
Explanation:
3/2=1.5
10 x 1.5 =15 square units
When the sun’s energy moves through space it reaches earths atmosphere and the finally gets to the surface. The radiant solar energy warms the atmosphere and becomes heat energy.
Answer:
18 is the sum of the two integers.
Explanation:
65 is divisible by 4 numbers: 1, 5, 13, and 65.
Meaning 65 x 1 = 65 and 13 x 5 = 65.
So in this case, add 13 and 5 which equals 18.
18 is the sum of the two integers.
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Simple
Nine less than a number times four equals fifteen
basically, x*4-9=15 would be your equation, or something similar
Well, we know x can't equal 1,2,3,OR 4. Five is also out, because 5*4=20-9=11, so cross that out.
But if you try doing 6*4-6=15, it fits.
6*4=24, 24-9=15
Thus, x=6, so your answer to Nice less than four times a number equals fifteen is 6.
~Hope this helps!