The measure of the exterior angle at vertex D is: D. 54°
<em><u>Recall:</u></em>
- The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.
<em><u>Thus:</u></em>
In ΔDEF, (8x−2)º is an exterior angle at vertex D.
m∠E = (3x−8)° (interior angle)
m∠F = (4x+13)° (interior angle)
<em>Therefore:</em>
(8x−2)º = (3x−8)° + (4x+13)°
8x - 2 = 3x - 8 + 4x + 13
8x - 2 = 7x + 5
8x - 7x = 2 + 5
x = 7
Exterior angle at vertex D = (8x−2)º
= 8(7) - 2
= 54º (option D)
Learn more about exterior angle theorem on:
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Answer:
A
Step-by-step explanation:
Using Pythagoras' identity on the large right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)
x + 32 =
= 50 ( subtract 32 from both sides )
x = 18 → A
4983/<span>100
49 and 83/100 feet^2
hope I helped!
Let me know if you need anything else!
~ Zoe</span>
Answer
A. The median for town A, 20, is less than the median for town B, 30°
Step-by-step Explanation:
The median of town A and town B, as can be observed from box plots in the diagram attached below, can be gotten by locating the data points where the line divides the box into 2.
For town A, the data point at which a line divides the box is at 20⁰, while for town B, the data point at which the line divides the box is at 30⁰.
Median for town A is 20⁰, while median for town B is 30⁰. Therefore, the statement that most appropriately compare the centers is A. "The median for town A, 20, is less than the median for town B, 30°".