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alukav5142 [94]
3 years ago
9

I need help on this.​

Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>6</em><em>.</em>

<em>Please</em><em> </em><em>see the </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>sol</em><em>ution</em><em>.</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

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

kirza4 [7]3 years ago
7 0

Answer:

i believe the answer is 6

Step-by-step explanation:

comment if u want an explanation cus i cba to write one for no reason

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Quadrilateral PQRS is a square whos side length is 10. Let X and Y be points outside the square so that XQ = YS = 6 and XP = YR
erik [133]

Answer:

392

Step-by-step explanation:

Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.

Extend lines XQ, YR, YS and XP and mark their intersection as A and B.

Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore

  • all angles of the quadrilateral XAYB are right angles
  • all sides of XAYB are congruent and equal to 6 + 8 = 14 units.

Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,

XY^2=XA^2+AY^2\\ \\XY^2=14^2+14^2\\ \\XY^2=196+196\\ \\XY^2=392  

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3 years ago
Identify the triangles that are similar by the AA similarity theorem. explain how you know that the triangles are similar.
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Angle WVX = Angle YVZ (vertically opposite angles)

Angle VWX = Angle VYZ (shown)

Angle WXV = Angle YZV (total sum of angles in triangle)

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What are the interval(s) on which the function Y =
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Sophie [7]

<u>Part 1</u>

<u />(f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is \boxed{[0, \infty)}

<u>Part 2</u>

<u />(g \circ f)(x)=g(4x+1)=\sqrt{4x+1}

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}

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