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3 years ago

Determine the coordinates for the intersection of the diagonals in RSTU with vertices at R(-8,-2),S(-6,7), T(6,7) and U(4,-2)

Mathematics

2 answers:

irina [24]3 years ago

6 0

It is answer choice A. (-1, 2.5)

Kamila [148]3 years ago

6 0

Answer:

A. (-1,2.5)

Step-by-step explanation:

We have been the coordinates of a an quadrilateral RSTU with vertices at R(-8,-2),S(-6,7), T(6,7) and U(4,-2). We are asked to find the coordinates for the intersection of the diagonals of RSTU.

First of let us draw the quadrilateral on coordinate plane.

Please find the attachment for the quadrilateral.

We can see that our given quadrilateral is a parallelogram. Now let us draw diagonals of our parallelogram.

We can see that both diagonals are intersecting at point (-1,2.5), therefore, option A is the correct choice.

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Micah buys 10 pens for every 2 pencils. Rachel buys 12 pens for every 3

Brrunno [24]

Answer:

Step-by-step explanation:

micah

10: 2

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rachel

12: 3

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2 years ago

Jill arranged her baseball cards in 4 rows of 9 cards then she arranged the cards in 2 rows of 18 cars how many other ways can J

Ronch [10]

She can arrange them in the following;
1 row of 36
2 rows of 18 (doesnt count because it says other and this has already been mentioned)
3 rows of 12
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6 rows of 6

3 0

2 years ago

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Find the equation of the line passing through the point (–1, –2) and perpendicular to the line y = –1∕2x + 5. Question options:

tankabanditka [31]

Answer:

<h3>The answer is option C</h3>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y = - 1/2x + 5

Comparing with the general equation above

Slope / m = -1/2

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of the perpendicular line = 2

Equation of the line using point (–1, –2) and slope 2 is

y + 2 = 2( x + 1)

y + 2 = 2x + 2

y = 2x + 2 - 2

We have the final answer as

Hope this helps you

4 0

2 years ago

6n < -12 pls show work

dalvyx [7]

Answer:

Step-by-step explanation:

6n < -12

6n/6 <-12/6 divide six on both sides

n < -2

5 0

2 years ago

Triangle J is shown below. James drew a scaled version of Triangle J using a scale factor of 4 and labeled it

Novay_Z [31]

Answer:

The area of triangle K is 16 times greater than the area of triangle J

Step-by-step explanation:

we know that

If Triangle K is a scaled version of Triangle J

then

Triangle K and Triangle J are similar

If two triangles are similar, then the ratio of its areas is equal to the scale factor squared

Let

z -----> the scale factor

Ak ------> the area of triangle K

Aj -----> the area of triangle J

$z^{2}=\frac{Ak}{Aj}$

we have

$z=4$

substitute

$4^{2}=\frac{Ak}{Aj}$

$16=\frac{Ak}{Aj}$

$Ak=16Aj$

therefore

The area of triangle K is 16 times greater than the area of triangle J

4 0

2 years ago

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