Answer: 114°
Step-by-step explanation:
<h2>Concept: </h2>
Here, we need to know the idea of the "Exterior Angle theorem".
<u>The exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles of the triangle.
If you are still confused, then refer to the attachment below for a graphical explanation.
<h2>Solve:</h2>
Given
24 + (2x + 18) = 3x + 6
Put like terms together
24 + 18 + 2x = 3x + 6
Combine like terms
42 + 2x = 3x + 6
Subtract 6 on both sides
42 + 2x - 6 = 3x + 6 - 6
36 + 2x = 3x
Subtract 2x on both sides
36 + 2x - 2x = 3x - 2x
x = 36
Exterior angle = 3x + 6 = 3(36) + 6 = 114°
Hope this helps!! :)
Please let me know if you have any questions
Answer:
add them.. they litterly gave you the area for both shapes which is 36 ft^2
Step-by-step explanation:
Answer:
$13,616
Step-by-step explanation:
For each year we will have to constantly decrease it by 7.5%
23,500 - 7.5%
= 21,737.5
= 21,737.5 - 7.5%
= 20,107.1875
= 20,107.1875 - 7.5%
= 18599.1484375
= 18599.1484375 - 7.5%
= 17204.2123047
= 17204.2123047 - 7.5%
= 15913.8963818
= 15913.8963818 - 7.5%
= 14720.3541532
= 14720.3541532 - 7.5%
= 13616.3275917
Definitively we will get the answer $13,616
3x + 5 = 23
5 more than(addition) 3 times(multiplication) a variable(x) is(equals) 23
(you add 5 to 3x)
If you need to solve for "x", you need to isolate/get the variable "x" by itself in the equation:
3x + 5 = 23 Subtract 5 on both sides
3x + 5 - 5 = 23 - 5
3x = 18 Divide 3 on both sides to get "x" by itself
x = 6
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 46)° = 180° - 136° = 44°
----------------------------------------------------------------
tan46° = 
= 
Multiply both sides by 23
23 × tan46° = b, thus
b ≈ 23.8 ( to the nearest tenth )
-----------------------------------------------------------------
cos46° = 
= 
Multiply both sides by c
c × cos46° = 23 ( divide both sides by cos46° )
c = 
≈ 33.1 ( to the nearest tenth )
