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3 years ago

Geometry proofs Need help!!

Mathematics

1 answer:

Andrew [12]3 years ago

8 0

Angles ∠MOK and ∠NOL are identical by opposite angle theorem.

∠M = ∠N through given information

∠MKO and ∠NLO are congruent. Since the other two angles of each triangle are equivalent, the last angle must be equivalent to the last angle of the other triangle. (180 - ∠1 -∠2 = ∠3); you could also prove ∠MKO = ∠NLO by stating that the opposite sides of the two angles are congruent.

ΔMKO and ΔNLO by Angle-Angle-Side theorem

since ΔMKO and ΔNLO, all corresponding parts of both triangles are congruent, so therefore MO ≅ NO

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NikAS [45]

Answer:

1)6

2)36

Step-by-step explanation:

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2 years ago

Plzzzz help and I'll give you brainliest

sdas [7]

Step-by-step explanation:

Left hand side:

4 [sin⁶ θ + cos⁶ θ]

Rearrange:

4 [(sin² θ)³ + (cos² θ)³]

Factor the sum of cubes:

4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]

Pythagorean identity:

4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]

Complete the square:

4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]

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Pythagorean identity:

4 [1 − 3 sin² θ cos² θ]

Rearrange:

4 − 12 sin² θ cos² θ

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Double angle formula:

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4 − 3 (1 − cos² (2θ))

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2 years ago

Find the slope between (7,3) and (25,9)

lara [203]

1/3
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2 years ago

Find the Inverse Function : Algebra 2 y = 2x² + 1

Vera_Pavlovna [14]

$\displaystyle\\Answer:\ y=\sqrt{\frac{x-1}{2} } \ \ \ \ (x\geq 1,\ \ \ \ y\geq 0)$

Step-by-step explanation:

$y=2x^2+1\\$

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$\displaystyle\\x=2y^2+1\\\\x-1=2y^2+1-1\\\\x-1=2y^2\\$

Divide both parts of the equation by 2:

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The restrictions are imposed on the inverse function by on x:

$x-1\geq 0\\x\geq 1$

The restrictions are imposed on the inverse function by on y:

$y\geq 0$

Then the original function is defined on the sets:

$x\geq 1,\ \ \ \ y\geq 0$

The initial function, a parabola, is constrained because of the inverse function; only in this case the functions are reciprocal.

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1 year ago

A garden is in the shape of a rectangle 80m by 70m. Flowers are grown in 40% of the garden. The rest of the garden is grass. Wor

balandron [24]

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2 years ago