15:12 is the equivalent ratio of 5:4
The sum of the squares of the lengths is 58
The square of length of the hypotenuse is 58
From the question, we have
AB² = (-2-3)² +(7-5)²= 25+4 =29
BC² = (3-1)²+(5-0)²=4+25=29
AC² = (-2-1)²+(7-0)² = 9+49 = 58
Here we can see that,
AB²+BC² = AC²
The sum of the squares of the lengths of two sides (the legs) equals the square length of the third side (hypotenuse).
the sum of the squares of the lengths = AB²+BC² =29+29 = 58
the square of length of the hypotenuse= 58
Pythagoras Theorem:
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.
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Answer:
1. (2x - 2y)² - 9
2. 99099
Step-by-step explanation:
We know the a+b formula :
(a-b)² = a² - 2ab + b²
1. 4(x-y)^2 -9
4(x² - 2xy + y²) - 9
4x² - 8xy + 4y² - 9
(2x - 2y)² - 9
2. 1001 × 99
= 99099
1001
× 99 ----------
9009
9009× ----------- 99099
Hello!
If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.
m = 3, y = 3x + b (substitute the ordered pair)
4 = 3(1) + b (simplify)
4 = 3 + b (subtract 3 from both sides)
b = 1
Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.
Answer:
see explanation
Step-by-step explanation:
25
The diagonals of a kite are perpendicular to each other, hence
∠EHF = 90°
The sum of the 3 angles in a triangle = 180°
In ΔEHF
∠1 + ∠2 + 90 = 180, that is
42 + ∠2 + 90 = 180
132 + ∠2 = 180 ( subtract 132 from both sides )
∠2 = 48°
26
DE and DG are congruent sides, hence
4x - 2 = 22.5 ( add 2 to both sides )
4x = 24.5 ( divide both sides by 4 )
x = 6.125
27
∠A and ∠C are congruent, hence
∠A = ∠C = 82°
The sum of the interior angles of a kite = 360°, hence
x = 360 - (82 + 82 + 140) = 360 - 304 = 56
