Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of .
In we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let be 'x' degrees .
So,
⇒
⇒ <em>Subtracting 83 from both sides.</em>
⇒
⇒
⇒ degrees
The measure of angle JKL in the triangle is of 97 degrees.
Answer:
Part 1) Subtraction Property of Equality
Part 2) This property can be used , because addition and subtraction have inverse relationships
Step-by-step explanation:
we know that
The<u><em> subtraction property of equality</em></u> tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same
so
we have
Solve for y
Applying Subtraction Property of Equality
subtract 10.50 both sides
Remember that this property can be used , because addition and subtraction have inverse relationships.
Answer:
Width of the uniform path that surrounds the piece of land = 3 m
Step-by-step explanation:
Let the width of the path that surrounds the piece of land be x.
The situation described is sketched in the attached image to this solution.
The dimension of the Length of the piece of land including the uniform path that surrounds it = (40 + 2x) m
The Breadth of the piece of land including the uniform path that surrounds it = (25 + 2x) m
The area of the piece of land including the uniform path that surrounds it
= (Area of the piece of land) + (Area of the uniform path that surrounds it)
Area of the piece of land = Length × Breadth = 40 × 25 = 1000 m²
Area of the uniform path that surrounds it = 426 m² (Given in the question)
The area of the piece of land including the uniform path that surrounds it = 1000 + 426 = 1426 m²
But the area of the piece of land including the uniform path that surrounds it is also
= (Length of the piece of land including the uniform path that surrounds it) × (Breadth of the piece of land including the uniform path that surrounds it
= (40 + 2x) + (25 + 2x)
= 1000 + 80x + 50x + 4x²
= (4x² + 130x + 1000) m²
Equation these 2 areas
4x² + 130x + 1000 = 1426
4x² + 130x - 426 = 0
Solving the quadratic equation
x = 3 or -35.5
Since the width cannot be negative,
x = 3 m
Hope this Helps!!!
On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3
Step-by-step explanation:
A exponential function is one in which the variable appears in the exponent.
The common form of exponential functions is y=b^x where b is a positive number.
Where b >1 exponential growth occurs and where b<1, an exponential decay is observed.
Points (0,1) and (1,b) are always on the graph of the function y=b^x
Learn More
Exponential functions :brainly.com/question/2141793
Keywords : graph, exponential function, curve
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