Answer:
∠N and ∠Y
Step-by-step explanation:
When two triangles are congruent then there corresponding parts ( angle or sides ) are also congruent or equal, ( CPCTC )
In triangles MNO and XYZ,
Side MN, NO and OM are corresponding to XY, YZ and ZX respectively,
And, angles M, N and O are corresponding to angles X, Y and Z respectively,
Thus, if ΔMNO ≅ ΔXYZ
By CPCTC,
MN ≅ XY
NO ≅ YZ
OM ≅ ZX
Also, ∠M ≅ ∠X, ∠N ≅ ∠Y and ∠O ≅ ∠Z
Hence, THIRD OPTION is correct.
Answer:
Step-by-step explanation:
x² + b²/4a² = -c / a + b²/4a²
x² + (b/2a)² = -c/a + (b/2a)²
(x + b/2a)² = -c/a + (b/2a)² = -c / a + b²/4a² = (-4ac+ b²)/4a²
(x + b/2a)² = (-4ac+ b²)/4a²
√{(x + b/2a)²} = √{(-4ac+ b²)/4a²}
x + b/2a = √(-4ac+ b²) / √(4a²) = √(-4ac+ b²) / 2a = √( b²-4ac) / 2a
x + b/2a = √( b²-4ac) / 2a
- subtract b/2a from both sides
x + b/2a -b/2a = {√( b²-4ac) / 2a } -b/2a
x = -b/2a + {√( b²-4ac) / 2a }
x = {-b±√( b²-4ac)}/2a
Volume of a cylinder = π r² h
Given:
radius = (x+8)
height (2x + 3)
Volume of a cylinder = π * (x+8)² * (2x + 3)
V = π * (x+8)(x+8) * (2x+3)
V = π * (x² + 8x + 8x + 64) * (2x + 3)
V = π * (x² + 16x + 64) * (2x + 3)
V = π * (2x³ + 32x² + 128x + 3x² + 48x + 192)
V = π * (2x³ + 32x² + 3x² + 128x + 48x + 192)
V = π * (2x³ + 35x² + 176x + 192)
A). because the roots are shown. The roots of this quadratic function would be x=2, and x=-2
Answer:
The height of near by tree will be 90 feet.
Step-by-step explanation:
Considering the water triangle as shown in figure a.
As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.
Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.
Let x be the height of near by tree that cost a shadow 63 feet long.
Assuming that the triangles are similar
So,
the ratios of similar triangles will be related as:
feet
Therefore, the height of near by tree will be 90 feet.
Keywords: ratio, similar triangle
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