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3 years ago

9

double the number plus three times another number is 54. the difference between these two numbers is three. what are the two num

bers?

1 answer:

DerKrebs [107]3 years ago

3 0

Step-by-step explanation:

54

=2×27

=54

=27×2

=54

=2,27

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What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3

ArbitrLikvidat [17]

ANSWER

$\boxed {( \frac{1}{2} , 1)}$

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

$(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})$

Using L(0,-3),N(1,5) gives,

$(\frac{0+1}{2}, \frac{ - 3+5}{2})$

$(\frac{1}{2}, \frac{ 2}{2})$

$(\frac{1}{2}, 1)$

Or we could have also used,M(-2,1),O(3,1) to get,

$(\frac{-2+3}{2}, \frac{ 1+1}{2})$

$(\frac{ 1}{2}, \frac{ 2}{2})$

$(\frac{ 1}{2}, 1)$

The correct answer is C

6 0

3 years ago

Polygon with three interior angles whose sum 180 degrees

mojhsa [17]

Answer:

Triangle

Step-by-step explanation:

A triangle has three vertexes, and therefore three interior angles. Those angles also sum to 180 degrees because of the formula (n-2)*180, where n is the number of sides that a polygon has. Plugging in 3, you get $1\cdot 180$ , or just 180 degrees. Hope this helps!

6 0

3 years ago

Read 2 more answers

You are constructing a tangent line from a point outside a given circle to the circle. You have drawn the circle, a point outsid

sveta [45]

Yikes I might go with C.

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3 years ago

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What is the base for the expression -6 to the power of 4

natima [27]

For this case we have that by definition it is fulfilled:

$a ^ b$

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to: $(-6) ^ 4$

So we have to:

-6: It is the base

4: It is the exponent

Answer:

-6: It is the base

4: It is the exponent

8 0

3 years ago

A textbook store sold a combined total of 426 math and sociology textbooks in a week. The number of math textbooks sold was 88 m

SOVA2 [1]

Let m and s be the number of math and sociology books sold respectively.

m=s+88 we are also told that:

m+s=426, using m found above in this equation gives you:

s+88+s=426 combine like terms on left side

2s+88=426 subtract 88 from both sides

2s=338 divide both sides by 2

s=169, since m=s+88

m=169+88=257

So 257 math and 169 sociology textbooks were sold.

8 0

3 years ago