The sum of the areas of Square N and Square L is equal to the area of Square K and this can be determined by using the Pythagorean theorem.
Given :
The diagram shows three squares that are joined at vertices to form a right triangle.
The following steps can be used in order to determine which statement is true:
Step 1 - The Pythagorean theorem can be used in order to determine which statement is true.
Step 2 - According to the Pythagorean theorem, the sum of the square of the shorter sides is equal to the square of the longer side.
Step 3 - So, from the above steps, it can be concluded that the sum of the areas of Square N and Square L is equal to the area of Square K.
Therefore, the correct statement is given by option A).
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answer:
a) the sum of the areas of square n and square l is equal to the area of square k.
step-by-step explanation:
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Answer:
The measure of angle C is 36.86°
Step-by-step explanation:
Given : A right angled triangle with right angle at B.
We have to find the measure of angle C.
Consider the given right triangle.
Using trigonometric ratio,
Since, we know tangent is the ratio of perpendicular to base
Using
Here, for angle C we have base = 4 cm and perpendicular = 3 cm
Thus,
Taking both side, we have,
Thus, The measure of angle C is 36.86°
Answer:36.86
Step-by-step explanation:
The value of expression is,
⇒ (2m - 8)² = 4m² - 24m + 64
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The expression is,
⇒ (2m - 8)²
Now,
We know that,
The formula is,
⇒ (a - b)² = a² - 2ab + b²
Hence, We get;
⇒ (2m - 8)² = (2m)² - 2 × 2m × 8 + (8)²
= 4m² - 24m + 64
Thus, The value of expression is,
⇒ (2m - 8)² = 4m² - 24m + 64
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Answer: Proper order form least to greatest is given by
Step-by-step explanation:
Since we have given that
We need to write it in proper order from least to greatest.
For this we are required to take the L.C.M. of denominators:
1) L.C.M. of 2,6,7,2 = 42
2) Make the denominator 42:
From least to greatest :
Answer:
y=7x+4
Step-by-step explanation:
Values of x and y satisfy the equation y=7x+4
Which of the following correctly shows the steps to solve this equation?
Step 1: 6x − 10 = 1; Step 2: 6x = 11
Step 1: 6x − 5 = 1; Step 2: 6x = 6
Step 1: 5x − 3 = 1; Step 2: 5x = 4
Step 1: 5x − 7 = 1; Step 2: 5x = 8
The option that shows the steps to solve the given equation is A) and this can be determined by using the arithmetic operations.
Given :
Linear Equation -- 2(3x − 5) = 1
The following steps can be used in order to evaluate the given linear equation:
Step 1 - The arithmetic operations can be used in order to evaluate the given linear equation.
Step 2 - Write the given linear equation.
2(3x − 5) = 1
Step 3 - Multiply 2 by (3x - 5) in the above equation.
6x - 10 = 1
Step 4 - Add 10 on both sides in the above expression.
6x - 10 + 10 = 1 + 10
6x = 11
Step 5 - Divide both sides by 6 in the above equation.
x = 11/6
From the above steps, it can be concluded that the correct option is A).
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