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Elena L [17]
3 years ago
13

Which theorem or postulate justifies this statement? ∠6≅∠13

Mathematics
1 answer:
alexdok [17]3 years ago
5 0

Answer:

Theorem for alternate exterior angles.

Step-by-step explanation:

From the figure attached,

Two lines GN and FH are the parallel lines and a transversal JM is intersecting these lines at two distinct points.

Different pair of angles formed are between these parallel lines,

∠6 ≅ ∠10 [Corresponding angles]

∠8 ≅ ∠10 [Interior alternate angles]

∠6 ≅ ∠13 [Exterior alternate angles]

Therefore, theorem for alternate exterior angles justifies that ∠6 ≅ ∠13.

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y = -16x2 + 32x - 10 This parabola has x-intercepts, representing the times when the dolphin's height above water is feet.
Lina20 [59]
Answer: This parabola has 0.3875 x-intercepts,
<span>representing the times when the dolphin's height above water is </span>
0 feet.

The x-intercept is the point where the graph crosses the x-axis, which is when the value is y=0. 
The calculation for y=0 would be
<span>Y = -16x2 + 32x - 10
</span><span>0 = -16x2 + 32x - 10
</span>-8x2 + 16x - 5=0

-b +-√(b^2-4ac)  /2a=
-16 +-√(16^2-4(-8)(-5))  /2(-8) =
-16+- √(256-160/ -16 =
-16+- √(96/ -16 =
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x1= 0.3875
x2= -1.6125
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3 years ago
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Please Help!!! DUE NOW!
Alexxandr [17]

<em>Answer</em><em>:</em><em> </em><em>3</em><em>7</em>

<em>Step</em><em> </em><em>by</em><em> </em><em>step</em><em> </em><em>explanation</em><em>:</em>

<em>y</em><em>+</em><em>2</em><em>9</em><em>+</em><em>4</em><em>0</em><em>+</em><em>2</em><em>y</em><em>=</em><em>1</em><em>8</em><em>0</em><em>°</em><em>(</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>angle</em><em> </em><em>in</em><em> </em><em>stra</em><em>ight</em><em> </em><em>line</em><em>)</em>

<em>or</em><em>,</em><em> </em><em>y</em><em>+</em><em>2</em><em>y</em><em>+</em><em>2</em><em>9</em><em>+</em><em>4</em><em>0</em><em>=</em><em>1</em><em>8</em><em>0</em><em>°</em>

<em>or</em><em>,</em><em>3</em><em>y</em><em>+</em><em>6</em><em>9</em><em>=</em><em>1</em><em>8</em><em>0</em>

<em>or</em><em>,</em><em>3</em><em>y</em><em>=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>6</em><em>9</em>

<em>or</em><em>,</em><em>3</em><em>y</em><em>=</em><em>1</em><em>1</em><em>1</em>

<em>or</em><em>,</em><em>y</em><em>=</em><em>1</em><em>1</em><em>1</em><em>/</em><em>3</em>

<em>y</em><em>=</em><em>3</em><em>7</em>

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em>

<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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Step-by-step explanation:

Step 1: Write expression

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Step 2: FOIL

x² + 2x - 2x - 4

Step 3: Combine like terms

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