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Dafna1 [17]
2 years ago
9

Is it possible to draw a triangle with these measurements 90° 60° and 60°

Mathematics
1 answer:
lina2011 [118]2 years ago
7 0

Answer:

No

Step-by-step explanation:

The angles of a triangle must always add up to 180 degrees.

90 + 60 + 60 = 210 degrees.

Therefore it would not be possible to draw a triangle with these values.

You might be interested in
You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6
NeX [460]

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\ times Time}{100}

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

Simple\ interest = \frac{5000\times 5.5\times 5}{100}

Simple\ interest = 50\times 5.5\times 5

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

8 0
3 years ago
Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co
ycow [4]

Answer:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

4 0
3 years ago
Is −4[3(x−7)] and 6(14−2x) equiviant
Paraphin [41]

Answer:

Yes.

Step-by-step explanation:

Set the equations equal to each other to determine their equality.

-4[3(x - 7)] = 6(14 - 2x)

Distribute the 3 and the 6 into their respective parenthesis.

-4[3x - 21] = 84 - 12x

Distribute the -4 into the brackets.

-12x + 84

Rearrange the equations.

84 - 12x = 84 - 12x

Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.

4 0
3 years ago
Math please please please help
kondaur [170]

y=3|3+2|

Hope this helps!

-Payshence

8 0
3 years ago
What is the missing length.
nasty-shy [4]

Answer:

KS = 12

Step-by-step explanation:

Given that ∆KLM ~ ∆RSK, \frac{KL}{KR} = \frac{KM}{KS} (similarity theorem)

KL = 65

KR = 65 - 52 = 13

KM = 60

KS = ?

\frac{65}{13} = \frac{60}{KS}

Cross multiply

65*KS = 60*13

65*KS = 780

\frac{65*KS}{65} = \frac{780}{65}

KS = 12

4 0
3 years ago
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