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cestrela7 [59]
3 years ago
7

What is x? A)8 B)5 C)1 D)11?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

x=5

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

L+M+J+K =360

75+ 96+14x+5 +114 = 360

Combine like terms

290 +14x = 360

Subtract 290 from each side

290-290 +14x= 360-290

14x = 70

Divide by 14

14x/14 = 70/14

x = 5

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PLZ HELP ASAP!!
Lilit [14]

The measure of first angle is 34 degrees and measure of second angle is 56 degrees

<em><u>Solution:</u></em>

Given that, the exterior sides of two adjacent angles make a right angle

Therefore, these adjacent angles forms 90 degrees

Let the second angle be "x"

The first angle has a measure that is six more than half the second

Therefore,

first angle = 6 + half of "x"

\text{ first angle } = 6 + \frac{x}{2}

Since these two angles forms 90 degrees,

first angle + second angle = 90

x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56

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\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees

6 0
3 years ago
Write an equation for the line that is parallel to the given line and passes through the given point Y= 1/2 x -8 (-6 ,-17)
mylen [45]
Parallel to : y = 1/2x - 8

Passes through (-6, -17)

Our given slope is 1/2.

Plug the given coordinates into point-slope form.

y - y₁ = m(x - x₁)

y - (-17) = 1/2(x - (-6))

Simplify.

y + 17 = 1/2(x + 6)  ← Your answer.

However, sometimes teachers want this simplified even further.

So, simplify this.

y + 17 = 1/2x + 3

Subtract 17 from both sides.

y = 1/2x + 3 - 17

Simplify.

y = 1/2x - 14 ← Slope-intercept form.

Standard form → -1/2x + y = -14


~Hope this helped!~
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