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hram777 [196]
3 years ago
9

Consider the midpoint of the segment joining A

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer:

The x coordinate is 7

The y coordinate is 2.5

Step-by-step explanation:

To find the midpoint, add the x coordinates together and divide by 2

(19+-5)/2 = 14/2 =7

Then add the y coordinates together and divide by 2

(2+3)/2 = 5/2 = 2.5

(7, 2.5)

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A house with an original value of increased in value to in years. What is the ratio of the increase in value to the original val
Anika [276]

Answer:

Ratio of the increase in value to the original value will be 1 : 5

Step-by-step explanation:

This question is incomplete; Here is the complete question.

A house with an original value to $150,000 increased in value to $180,000 in 5 years. what is the ratio of the increase in value to the original value of the house?

Original value of the house = $150000

Value of the house after 5 years = $180000

Appreciation in value of the house after 5 years = $180000 - $150000

= $30000

Now the ratio of the increase in value to the original value = \frac{\text{Increased value}}{\text{Original value}}

= \frac{30000}{150000}

= \frac{1}{5} or 1 : 5

Therefore, ratio of the increase in value to the original value of the house is 1 : 5

6 0
3 years ago
Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.
ale4655 [162]

Answer:

No

Step-by-step explanation:

Let's find the slope of both lines and then compare these slopes:

From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y.  Thus, the slope is m = rise / run = 1/(-1) = -1.

From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y.  The slope here is m = rise / run = -1/5.

For these lines to be parallel, their slopes must be the same.  That is not the case here, so NO, the lines are not parallel.



8 0
3 years ago
If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
svetlana [45]

Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

5 0
3 years ago
What is the value of m in 3(2m-9+6m)=3m+29-7m<br> i got 1/10 but the choices are -3, 2, 5, and 120
kirill [66]
Hello,

3(2m-9+6m)=3m+29-7m
==>3(8m-9)=-4m+29
==>24m+4m=29+27
==>28m=56
==>m=2

Answer B


5 0
3 years ago
Read 2 more answers
Find the magnitude of AB.<br> A(-2, 6), B(1, 10)<br> O A 2<br> OB. ✔️15<br> O C.5<br> OD ✔️2
natita [175]

Answer:

C. 5

Step-by-step explanation:

Use the Distance Formula.

Substitute the values of x1 , y1 , x2 , and y2 .

|AB|² =|(1--2)²+(10-6)²|

|AB|² = |9+16|

|AB| = √ 25

|AB| =5

6 0
3 years ago
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