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tino4ka555 [31]
3 years ago
12

Abc is an isosceles and right triangle whose hypotenuse measures 8 inches. use the pythagorean theorem to determine the length o

f each leg
Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
Because the triangle ABC is isosceles, the leg of the triangle has the same length. For example, the length of one leg is a, then the other leg is a too.

Input the numbers to pythagorean formula
a² + b² = c²
a² + a² = 8²
2a² = 64
a² = 64/2
a² = 32
a = √32
a = √16 × √2
a = 4√2

The length of each leg is 4√2 inches
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Answer:

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2. 12x - 18 = 8x+10 [Being~vertically~opposite~angles]\\or, 12x - 8x = 18+10\\or, 4x = 28\\or, x = 7\\Equations: 12x-18 = 8x+10\\Value~ of~ x: 7\\Angle ~measure: (12x-18),(8x+10) = 66,66\\

3. Have~a~look~at~the~figure.\\Here, y = 3x+9 [Being~ vertically ~opposite ~angles]\\Also, y+5x+3 = 180^{o} [ Being~cointerior~angles]\\or, 3x^{o}+9^{o}+5x^{o}+3^{o}=180^{o}\\or, 8x^{o}+12^{o}=180^{0}\\or, 8x^{o} = 168^{o}\\or, x = 21^{o}\\So, 3x+9 = 3(21)+0 = 72^{o} ~and ~5x+3 = 5(21)+3 = 108^{o}\\Equations: y = 3x +9, y+5x+3=180^{o}\\Value ~of~ x: 21^{o}\\Angle ~measure:  72^{o},108^{o}

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3 years ago
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Georgia [21]
Lena’s guest house is 8 m long
3 0
3 years ago
Read 2 more answers
Find x ????????????????????????
Virty [35]

Answer:

here

h=x,p=15,b=9

using pythagoras theorem

h^2=p^2+b^2

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6 0
3 years ago
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natulia [17]
From sin(180-x) = sin(x)
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6 0
3 years ago
Can someone answer this?
Elina [12.6K]
<h3>Answer:  a = 100</h3>

=============================================================

Explanation:

There are n = 7 sides to this polygon (so it's a heptagon)

The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.

So that means,

69+284+62+62+242+81+a = 900

800+a = 900

a = 900-800

a = 100

6 0
3 years ago
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