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2 years ago

What is the measure of the missing angle? 90° 600 7.

Mathematics

1 answer:

RideAnS [48]2 years ago

4 0

Answer:

30°

Step-by-step explanation:

Let the measure of the missing angle be x°

Therefore, by interior angle sum postulate of a triangle:

x + 60° + 90° = 180°

x + 150° = 180°

x = 180° - 150°

x = 30°

Thus the measure of the missing angle is 30°.

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Solve the following systems of 3-variable linear equations.<br><br><br><br>50 points

Natali [406]

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

7 0

2 years ago

Determine the surface area of this

Savatey [412]

Answer:

209.22cm²

Step-by-step explanation:

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·4·(4+122+42)≈209.21889cm²

3 0

2 years ago

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Which of the following statements is true? A. The Ratio Test says that the series converges absolutely. B. The Ratio Test says t

Assoli18 [71]

Answer:

Step-by-step explanation:

A. The Ratio Test says that the series converges absolutely

5 0

3 years ago

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Which expression is the completely factored form of x6−64y3 ?

ss7ja [257]

We are given this

$x^6 -64y^3$

write it as the difference of cubes

$(x^2)^3 -(4y)^3$

use the formula for the difference of cubes

$(x^2-4y) ((x^2)^2+x^2*4y+(4y)^2)$

Now use the formula for the difference of squares as $4y = (2\sqrt{y} )^2$

$(x-2\sqrt{y}) (x+2\sqrt{y}) (x^4+4x^2y+16y^2)$

7 0

3 years ago

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1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest

PIT_PIT [208]

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

3 0

2 years ago