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stellarik [79]
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?
Mathematics
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. 
6 0
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

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s=169, since m=s+88

m=169+88=257

So 257 math and 169 sociology textbooks were sold.
8 0
3 years ago
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