To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
(14 in)² = (x²) + (x²)
Simplifying the equation,
196 in² = 2x²
Divide both sides of the equation by 2,
98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
x = sqrt (98) = 7√2 inches
Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches.
Answer:
Step-by-step explanation:
In the given division, when 24.725 is divided by 215,
Step 1 is the wrong step.
Quotient in first step will be 0.1 .
Part C.
215) 24.725 (0.115
<u> 215</u>
322
<u>215</u>
1075
<u>1075</u>
0
Therefore, the correct way to divide should be as agove.
Quotient after division should be 0.115.
Answer:
15
Step-by-step explanation:
|-7-8| = |-15| = 15##
Answer:
- given
- additive property of equality
- segment addition postulate
- segment addition postulate
- transitive property
Step-by-step explanation:
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
transitive property, If a = b and b = c, then a = c.
Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.
I hope this was good enough for you: