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Drupady [299]
2 years ago
12

16. Prove that the sum of three angles of triangle is two right angles.​

Mathematics
1 answer:
Reptile [31]2 years ago
3 0

Answer:

Two right angles = 180 degrees

Step-by-step explanation:

A right angle = 90 degrees

The sum of the interior angles of a triangle = 180 degrees

Two right angles (2 * 90) = 180

180 = 180

Therefore, the sum of the interior angles of  any triangle is equal to two right angles.

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5x + 2y=7<br> - 2x + 6y=9
ollegr [7]

Answer:

x = \frac{12}{17} or 0.706

y = \frac{59}{34} or 1.735

Step-by-step explanation:

5x + 2y=7    ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7  

15x + 6y = 21  ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = \frac{12}{17}

put x = \frac{12}{17} in (eq 1)

5*\frac{12}{17} + 2y = 7

2y = 7- 5*\frac{12}{17}

2y = \frac{7*17 - 60}{17}

2y = \frac{119- 60}{17}

2y = \frac{59}{17}

y = \frac{59}{17*2}

y = \frac{59}{34}

6 0
3 years ago
cody is reading a 520-page book this summer. he read 1\5 of the pages on sunday. he read 1\2 of the pages on tuesday. he read th
kirill115 [55]
Assume that on Tuesday he read 1/2 pages out of 520 pages not what's left of the book minus 1/5 of the pages that he read on Sunday.
Cody read 260 pages on Saturday.
4 0
3 years ago
You roll a dice three times what is the probability that you roll an even number on the first roll, and odd on the second roll a
Dafna1 [17]
<h3>Answer:</h3>

D. 1/24

<h3>Step-by-step explanation:</h3>

Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.

p(even) = 3/6 = 1/2

p(odd) = 3/6 = 1/2

p(5) = 1/6

Then the joint probability is ...

.. (1/2)·(1/2)·(1/6) = 1/24

7 0
3 years ago
How do I graph <br> Y= -2x-3<br> Y= x+3
solniwko [45]

this is not a answer but look up dezmos and it will graph it for you

6 0
3 years ago
Read 2 more answers
What is the distance between the points (-4,0) and (-7, -14) ?​
vlada-n [284]

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178

7 0
2 years ago
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