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Rama09 [41]
3 years ago
6

ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38. What is the value of x?

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

Since ZE and ZF are vertical angles, they are congruent.

8x+8 = 2x+38

8 = 2x-8x+38

8 = -6x+38

8-38 = -6x

-30 = -6x

x = -30/-6

x = 5

mash [69]3 years ago
3 0

Answer:

  x = 5

Step-by-step explanation:

Vertical angles are congruent, so ...

  ∠E = ∠F

  8x +8 = 2x +38

  6x = 30 . . . . . . . . . subtract (2x+8)

  x = 5 . . . . . . . . . . . divide by 6

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(ii)       <u>   3x - 9y = 33</u>

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Which group of three squares will form a right triangle when<br> joined at their vertices?
Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

<em>The assignment should have </em><em>four options</em><em> to choose from, but there is only a picture of two. </em>

Step-by-step explanation:

<em>None of the squares </em><em>shown</em><em> form a right triangle. To determine if sides form a right triangle, you use </em><em>this</em><em> formula:</em>

a²+b²=c²

<em>We are given two options in the picture.</em>

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

<em>So, now we need to apply the formula:</em>

Option A)

║8² + 10² = 18²

  ↓

║64 + 100 = 324

  ↓

║FALSE

Option B)

║6² + 9² = 12²

  ↓

║36 + 81 = 144

  ↓

║FALSE

<em>Both of these options are false.</em><em> But, I decided to look up this assignment to check my answer. It turns out, there are </em><em>4 options</em><em>, and you only had a picture of two. So, what's the answer?</em>

<em />

<em>There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. </em><em>This is the correct answer</em><em>.</em>

<em />

<em>For proof, let's apply the formula:</em>

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<em>[Since the option isn't shown, I'll put a '?' so there is no confusion]</em>

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