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Degger [83]
3 years ago
7

A right triangle has side 32 and hypotenuse 68 use the Pythagorean theorem to find the length of the third side?

Mathematics
1 answer:
butalik [34]3 years ago
4 0

Answer:

Step-by-step explanation:

x is the third side

x² + 32² = 68²

x² = 68² - 32² = 3600

x = √3600 = 60

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Solve the Equation <br> 2x-3=14<br> -x+3y=-6
andriy [413]

Step-by-step explanation:

If you lost "y" in the first equation.

\underline{+\left\{\begin{array}{ccc}2x-3y=14\\-x+3y=-6\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad x=8\\\\\text{Put the value of x to the first equation:}\\\\2(8)-3y=14\\16-3y=14\qquad\text{subtract 16 from both sides}\\-3y=-2\qquad\text{divide both sides by (-3)}\\y=\dfrac{2}{3}\\\boxed{x=8,\ y=\dfrac{2}{3}}

If first equation is correct.

2x-3=14\qquad\text{add 3 to both sides}\\2x=17\qquad\text{divide both sides by 2}\\x=8.5\\\\\text{Put the value of x to the second equation:}\\-8.5+3y=-6\qquad\text{add 8.5 to both sides}\\3y=2.5\qquad\text{divide both sides by 3}\\y=\dfrac{2.5}{3}\\y=\dfrac{25}{30}\\y=\dfrac{5}{6}\\\\\boxed{x=8.5,\ y=\dfrac{5}{6}}

6 0
3 years ago
What is the solution to the equation below?<br> log7+log(x-4)= 1
Mila [183]

Answer: x=38/7

Step-by-step explanation:

8 0
2 years ago
Geometry help please how do I do these?
trapecia [35]

Answer:

Question 7:

∠L = 124°

∠M = 124°

∠J = 118°

Question 8:

∠Q = 98°

∠T = 98°

∠R = 82°

Question 15:

m∠G = 110°

Question 16:

∠G = 60°

Question 17:

∠G = 80°

Question 18:

∠G = 70°

Step-by-step explanation:

The angles can be solving using Symmetry.

Question 7.

The sum of interior angles in an isosceles trapezoid is 360°, and because it is an  isosceles trapezoid

∠K = ∠J  = 118°

∠L = ∠M

∠K+∠J+∠L +∠M = 360°

236° + 2 ∠L = 360°

Therefore,

∠L = 124°

∠M = 124°

∠J = 118°

Question 8.

In a similar fashion,

∠Q+∠T+∠S +∠R = 360°

and

∠R = ∠S = 82°

∠Q = ∠T

∠Q+∠T + 164° = 360°

2∠Q + 164° = 360°

2∠Q = 196°

∠Q = ∠T  =98°.

Therefore,

∠Q = 98°

∠T = 98°

∠R = 82°

Question 15.

The sum of interior angles of a kite is 360°.

∠E + ∠G + ∠H + ∠F = 360°

Because the kite is symmetrical

∠E  = ∠G.

And since all the angles sum to 360°, we have

∠E +∠G + 100° +40° = 360°

2∠E = 140° = 360°

∠E  = 110° = ∠G.

Therefore,

m∠G = 110°

Question 16.

The angles

∠E = ∠G,

and since all the interior angles sum to 360°,

∠E + ∠G + ∠F +∠H = 360°

∠E + ∠G  + 150 + 90 = 360°

∠E + ∠G   = 120 °

∠E = 60° = ∠G

therefore,

∠G = 60°

Question 17.

The shape is a kite; therefore,

∠H = ∠F = 110°

and

∠H + ∠F + ∠E +∠G = 360°

220° + 60° + ∠G = 360°,

therefore,

∠G = 80°

Question 18.

The shape is a kite; therefore,

∠F = ∠H  = 90°

and

∠F +∠H + ∠E + ∠G = 360°

180° + 110° + ∠G  = 360°

therefore,

∠G = 70°.

3 0
3 years ago
129,543 rounded to the nearest ten thousand
Ksju [112]
130,000 129,543 is rounded up because the thousands place is a 9
5 0
2 years ago
G A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
tino4ka555 [31]

Answer:

Main difference between circle & ellipse

Step-by-step explanation:

Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel

Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets

6 0
3 years ago
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