The value of x in the triangle is (a) 22
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we have:
Evaluate sin(45)
Solve for x
Divide
x = 22
Hence, the value of x is (a) 22
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Answer: 5/8
Step-by-step explanation:
The coordinates of triangle A′B′C′ is A′(2, 1), B′(1, 2), C′(3, 2)
On plotting the coordinates on the graph, it is found :
Option A is the coordinates of a straight line.
Option C is the coordinates of a bigger triangle
Option D has a different shape.
Only option B fulfills the required condition of similar shape and scale factor of 0.5 .
Vertices of a triangular garden:
A(4,2)
B(2,4)
C(6,4)
Scale factor = 0.5
What are the coordinates?
- A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
- Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.
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The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Mr. Ellis has started a vegetable garden.
He bought 15 bags of soil and 3 bags of fertilizer for 282.72.
He realized he did not have enough supplies so he bought another 5 bags of soil and 2 bags of fertilizer for 107.23.
Let the cost of each bag of soil be x and the cost of a bag of fertilizer be y.
Then we have the linear equations,
15x + 3y = 282.72
5x + 2y = 107.23
On solving the equations 1 and 2, we have
x = 16.25 and y = 12.99
The cost of each bag of soil is $ 16.25 and the cost of each bag of fertilizer is $ 12.99.
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