The 2 angles at a vertex are supplementary (one interior and one exterior) the exterior angle is = the the sum of the 2 remote interior angles..
Answer:

Step-by-step explanation:
Given
Geometry Progression


Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP

For first term: Tn = 500 and n = 1




For fought term: Tn = 32 and n = 4


Substitute 500 for a

Make r^3 the subject


Take cube roots
![\sqrt[3]{r^3} = \sqrt[3]{0.064}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%20%5Csqrt%5B3%5D%7B0.064%7D)
![r = \sqrt[3]{0.064}](https://tex.z-dn.net/?f=r%20%20%3D%20%5Csqrt%5B3%5D%7B0.064%7D)

Using: 
and 




<em>Hence, the second term is 200</em>
Answer:
The area of the figure is 117m²
Step-by-step explanation:
In this problem, you have two shapes. One shape is a rectangle. The other shape is a triangle.
Area of a rectangle = b*h = 9*7 = 63
Area of a triangle =
(b*h) =
Since there are two triangles, you will multiply the area of the one triangle in the figure by 2.
27*2 = 54
Now, you add up the areas!
54 + 63 = 117
So, the area of the figure is 117m²
Correct option is C. There are 20 ordered pairs.
Given that ordered pairs (x,y)
such that x is even integer where 4≤x≤10 and y is an integer.
where 4<y<10.
Then even integer 4≤x≤10 are four i:e
4,6,8,10
And integer 4<y<10 are five i:e
5,6,7,8,9
Then ordered pair are = 4×5=20
<h3>What are ordered pairs?</h3>
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
To learn more about ordered pairs from given link
brainly.com/question/1528681
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