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HACTEHA [7]
3 years ago
7

I will mark brainliest for the best answer!!!! Please show FULL SOLUTIONS. THANK YOU.

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

9514 1404 393

Answer:

  x = 78

Step-by-step explanation:

The base angles of an isosceles triangle are congruent, so the sum of angles is ...

  x° +x° +24° = 180°

  2x +24 = 180 . . . . . collect terms

  x + 12 = 90 . . . . . . . divide by 2

  x = 90 -12 . . . . . . . . subtract 12

  x = 78

_____

<em>Additional comment</em>

The base angle of an isosceles triangle is always the complement of half the third angle. That angle's bisector is an altitude, so divides the isosceles triangle into two congruent right triangles.

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The length of a rectangle is six times its width. If the area of the rectangle is 486 in 2 , find its perimeter.
seraphim [82]

w - width

6w - length

486 in² - area of the rectangle

(w)(6w) = 6w² - area of the rectangle

The equation:

6w² = 486     <em>divide both sides by 6</em>

w² = 81 → w = √81

w = 9 in

l = 6w → l = (6)(9) → l = 54 in

The perimeter: P = 2l + 2w

P = 2(54) + 2(9) = 108 + 18 = 126 in

<h3>Answer: The perimeter is 126in</h3>
5 0
3 years ago
19/24 as a decimal rounded to the nearest hundreths
Evgen [1.6K]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Use the number line to find the difference of 3 - (-1.5)
ololo11 [35]

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5 0
2 years ago
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PolarNik [594]
Ratio of odd numbers:even numbers
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3 0
1 year ago
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Answer:

a. (4, 13/6)

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Step-by-step explanation:

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