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Troyanec [42]
2 years ago
9

1 + (-2/3) - (9/2) evaluate

Mathematics
2 answers:
Elina [12.6K]2 years ago
7 0

Use the least common denominator(LCD) to solve this equation:

1 + (-2/3) - (9/2)

so, what is the LCM of 3 and 2 : 6

so, the LCD = 6

1 + (-2 x 2/6) - (9 x 3/6)

the 1 = 6/6

Put it back into the equation:

6/6 + (-4/6) - (27/6)

Then, take it out of the parenthesis:

6/6 - 4/6 - 27/6

Simplify:

= - 25/6

which is the answer.

Hope that helped !! Have a great day now

Tema [17]2 years ago
6 0

Evaluate 1 + (-2/3) - (-9/2):

It's safe to remove the parentheses, as follows:  1 - 2/3 + 9/2.  Recognizing that the LCD is 3(2) = 6, let's mult. this whole expression by 6 and then div. the result by 6:

6  -  4  + 27

------------------- =  29/6  (answer)

         6

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Answer:

There is only one distinct triangle possible, with m∠N ≈ 33°.   i hope this helps :)

Step-by-step explanation:

In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

There are no triangles possible.

There is only one distinct triangle possible, with m∠N ≈ 33°.

There is only one distinct triangle possible, with m∠N ≈ 147°.

There are two distinct triangles possible, with m∠N ≈ 33° or m∠N ≈ 147°.

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3 years ago
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Write 44 as a product of primes using index notation
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Answer:

Step-by-step explanation:

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Convert 12 1/2% into a decimal (It isn't 12.50)<br>Convert 12 1/2% into a fraction (It isn't 25/2)
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Answer:

0.125 and 1/8

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100 to move 2 decimal places to the left.

12.50% / 100 = 0.125

To convert a percentage into a fraction, rewrite the decimal number you got and put it over 1. Multiply the numerator and denominator by 1000 to move 3 decimal places to the right and get your fraction.

\frac{0.125}{1} · \frac{1000}{1000} = 125/1000

Divide the numerator and denominator by the GCF, 125, to get your simplified fraction.

125/125 = 1

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2.6 more than the quotient of h and 3 is w
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MN is a diameter of a circle with centre ' O ' . If BD = CD , prove that ∠OAD = ∠OCD
Varvara68 [4.7K]

Answer:

\sf \: Proved \: \angle \: OAD  \:  =  \angle \: OCD

Step-by-step explanation:

<em>Given:</em>

Mn is diameter of circle having centre O

and BD = OD,

<em><u>To prove that:</u></em>

<u>\angle \: OAD  \:  =  \angle \: OCD</u>

<em>Solution:</em>

Join the points O and B and draw OB,

On joining the line,

in ∆OCD and ∆OBD,

OC =OB → (Radius of same circle)

BD =CD → (from given)

OD =OD → (Common side in both the triangles)

Hence ∆OCD and ∆OBD are congruent from SSS property.

so we can say that,

\angle \: OBD  \:  =  \angle \: OCD

Consider above prove as statement A

Corresponding angles of congruent traingle.

in ∆ OAB,

OA = OB (radius of same circle)

hence ∆OAB is an isosceles traingle.

We know that opposite angle of isosceles traingle are always equal. hence,

\angle \: OBD  \:  =  \angle \: OAB \\ \angle \: OAB  \:  =  \angle \: OAD (same \: angles) \\ \angle \: OBD  \:  =  \angle \: OAD

Consider above prove as statement B

From Statement A & B we can say that

\angle \: OAD  \:  =  \angle \: OCD

<em>Thanks for joining brainly community!</em>

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2 years ago
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