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Nostrana [21]
3 years ago
7

Tommy is drawing a triangle with angles measuring 41° and 123°, and the included side measures 6 cm.

Mathematics
1 answer:
kirill [66]3 years ago
7 0
A) 16°
the workout
123°+41°+x°(the third angle) =180° (all the angle in a triangle sum up to 180°)
164°+x=180°
x=180°-164°
therefore, x=16°
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Which expressionism equivalent to -60 / 5 select all that apply 60 divided by negitive 5 60 times 1/5 60 times negitive 1/5 Negi
GaryK [48]

Answer:

Equivalent expressions

A) \frac{60}{-5}

C)  60\times (-\frac{1}{5})

Step-by-step explanation:

Given expression :

\frac{-60}{5}

Choices given :

A) \frac{60}{-5}

B) 60\times \frac{1}{5}

C)  60\times (-\frac{1}{5})

D) -60\times (-\frac{1}{5})

To find the equivalent expression.

We will first evaluate the given expression.

\frac{-60}{5}

⇒ -12    [Quotient of a negative dividend and a positive divisor is always negative]

Evaluating each choice to select the equivalents.

A) \frac{60}{-5}

⇒ -12    [Quotient of a positive dividend and a negative divisor is always negative]

B) 60\times \frac{1}{5}

⇒ \frac{60}{5}

⇒ 12

C)  60\times (-\frac{1}{5})

⇒ -\frac{60}{5}   [Product of a positive and a negative is always a negative]

⇒ -12

D) -60\times (-\frac{1}{5})

⇒ \frac{60}{5}   [Product of two negatives is always a positive]

⇒ 12

∴ We see that the choices A and C are equivalent.

7 0
3 years ago
What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
What rational number is between 2.46 and 2.47 on a number line
KonstantinChe [14]

I think the answer is 2.50

5 0
3 years ago
Read 2 more answers
-2 1/4 - ( - 3/4) =<br>​
Grace [21]

Answer: -1.5

Step-by-step explanation:

6 0
3 years ago
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Ms.Phillips ordered 56 pizzas for a school fundraiser. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese, and th
larisa [96]
\frac{2}{7} • 56 = 16

so 16 pizzas are pepperoni 

19 pizzas are cheese

And the rest is Veggie

So now add 16 and 19 which is 35

Now subtract that from 50 which is 15

So 15 pizzas were Veggie pizzas
5 0
3 years ago
Read 2 more answers
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