Answer:
Option 3) 24 is right.
Step-by-step explanation:
Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm
Also MO is the angle bisector of angle M.
By applying angle bisector theorem for triangles we get
LM/MN = LO/NO
i.e. x/12 = 14/7
Simplify to get x = 24
Hence option 3 is right
Verify:
Check whether angle bisector theorem is true.
The proportion LM/MN =24/12 = 2
The proportion LO/NO =14/7 =2
Both are equal and hence verified
<h3>
Answer: 18pi</h3>
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Explanation:
The area 81pi square meters leads to the radius 9 meters
Use the formula A = pi*r^2 to see why this is the case. You plug in A = 81pi and solve for r to get r = 9.
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Once you know the radius, you can determine the circumference C
C = 2*pi*r
C = 2*pi*9
C = 2*9*pi
C = 18pi
The circumference is the perimeter, or distance, around the circle.
Answer:
Step-by-step explanation:
<u>Sum of the interior angles of a regular polygon:</u>
- S(n) = 180°(n - 2), where n- number of sides
<h3>Exercise 4</h3>
<u>Pentagon has sum of angles:</u>
- S(5) = 180°(5 - 2) = 540°
<u>Sum the given angles and find x:</u>
- x° + 122° + 100° + 90° + 144° = 540°
- x° + 456° = 540°
- x° = 540° - 456°
- x° = 84°
<h3>Exercise 5</h3>
<u>Hexagon has sum of angles:</u>
- S(6) = 180°(6 - 2) = 720°
<u>Sum the given angles and find x:</u>
- x° + 110° + 160° + 105° + 105° + 115° = 720°
- x° + 595° = 720°
- x° = 720° - 595°
- x° = 125°
Answer:
It is 40 degrees.
Step-by-step explanation:
You can start off by understanding this is not a right angle (exactly 90 degrees, think of a corner of a room) or and obtuse angle (more than 90 degrees, bigger than a right angle). With that information we know that it is an acute angle (less than 90 degrees, smaller than a right angle). With that we have 40 and 50 degrees left. When you compare the angle with the 40 degrees one, it is the same size. The angle 1 is a reflection of the triangle with the 40 degrees angle. Hope this helps :)
15 pounds / 35 sandwiches ~ 0.43 pounds ham per sandwich
