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Mashutka [201]
3 years ago
10

Triangle angle sum theorem

Mathematics
2 answers:
Gekata [30.6K]3 years ago
5 0
Z will be equal to 16. here’s my work

lubasha [3.4K]3 years ago
4 0

Answer:

z = 16°

Step-by-step explanation:

The sum of angles in a triangle is 180°

∠1 + ∠2 + ∠3 = 180°

(z + 29°) + 55° + 5z = 180°

Collect like terms;

6z + 84° = 180°

Subtract 84° from both sides;

6z = 96°

Divide both sides by 6;

z = 16°

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What is the midpoint of 2,-6 and -8,5
Readme [11.4K]

Step-by-step explanation:

midpoint = ( \frac{2 - 8}{2} ,  \frac{ - 6 + 5}{2} )

= ( \frac{ - 6}{2} , \frac{ - 1}{2} )

= ( - 3, - 0.5)

6 0
3 years ago
Read 2 more answers
Evaluate each expression<br> 6! =<br> 3! • 2=<br> 31
Airida [17]
<h2><u>N-FACTORIAL!</u></h2>

<h3>\mathbb{  \color{brown} \: PROBLEM  }  \:   \:  \bold{{ \color{brown}{1}}} :</h3>

\mathcal{SOLUTION: }

  • \:   \bold{ \red{6!}= 6×5×4×3×2×1= \boxed{ \bold{ \blue{720}}}}

Therefore, <u>the value of 6! is 720</u>.

━┈─────────────────────┈━

<h3>\mathbb{  \color{brown} \: PROBLEM  }  \:   \:  \bold{{ \color{brown}{2}}} :</h3>

\mathcal{SOLUTION: }

  • \bold{3!  \cdot 2! }\implies  \bold{(3×2×1)  \cdot( 2×1 )}

  • \:   \: \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \implies \: \bold{ 6  \times 2} =  \boxed{ \bold{ \blue{12}}}

Therefore, <u>the value of the given expression is 12.</u>

━┈─────────────────────┈━

<h3><u>EXPLANATION</u><u>:</u></h3>
  • The mathematical symbol n! is read as "n factorial". The exclamation point "!" is read as factorial. And please remember or take note that 0! is equal to 1, and 1! is also equal to 1.

_______________∞_______________

6 0
2 years ago
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume
Assoli18 [71]

Answer:  d=18t

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

y=kx

Where "k" is the constant of proportionality.

In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.

With this information you can write the following equation:

d=kt

According to the exercise, the constant of proportionality is:

k=18

Therefore, substituting the value of the constant of proportionality into the equation, you get that  the equation that represents the proportional relationship between "d" and "t" is:

d=18t

4 0
3 years ago
What is 7 3/8 + 2 1/8
Ksivusya [100]

Answer:

9.5

Step-by-step explanation:

3 0
3 years ago
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The square root of 1.85
WARRIOR [948]

Answer:

around 1.36

Step-by-step explanation:

4 0
2 years ago
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