Answer:
9
Step-by-step explanation:
All triangles (3 sided polygons) have angles added up to 180, so we can do the following:
(7x-1) + (7x+8) + (5x+2) = 180° <em>- equation</em>
7x-1 + 7x+8 + 5x+2 = 180° <em>- "distribute"</em>
19x - 1 + 8 + 2 = 180°<em> - combine the x terms</em>
19x + 9 = 180° <em>- combine the integer terms</em>
19x = 171 <em>- subtract 9 form both sides</em>
x = 9 <em>- divide both sides by 19</em>
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = 
= 
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is
, and the height of the tree is 10 m, then the distance, d, across the river would be;
d = 
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet
<h3>What is a rectangle?</h3>
A rectangle is a quadrilateral with four sides and four vertices each of angle 90°.
Analysis:
Area of rectangle: 19.6 square feet
length of one side = 4.3 feet
width of one side = Area/length = 19.6/4.3 = 4.6 feet
the diagonal and width and length of a rectangle for a right angle triangle.
To find the diagonal, we use Pythagoras theorem
=
+ 
=
+ 
= 39.7
diagonal =
= 6.3 feet
in conclusion, the diagonal of the rectangular garden is 6.3 feet
Learn more about quadrilateral: brainly.com/question/23935806
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Answer:
D) 360
Step-by-step explanation:
The data Kyle collected is (0, 0), (1, 12), and (2, 24), where x represents days and y represents likes.
We can write a linear function to model this situation.
This will be of the form

because it passes through the origin , where m is the slope.
The slope is

Hence the equation is

To find the number of likes on the 30th day, we put x=30 into the equation to get:

The correct choice is D