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zzz [600]
3 years ago
9

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with t

he transformation that shows it is congruent to ABCD.

Mathematics
1 answer:
Sati [7]3 years ago
8 0
Each transformation will give these following coordinates

Translation 7 units right gives E(4, 4), F(8, 3), G(10, 6), and H(8, 6) as shown in brown in the diagram below

Reflection on the y-axis gives E(3, 4), F(-1, 3), G(-3, 6) and H(-1, 6) as shown in green in the diagram below

Reflection on the x-axis gives E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) as shown in red in the diagram below

Translation 5 units down gives E(-3, -1), F(1, -2, G(3, 1) and H(1, 1) as shown in purple in the diagram below 

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Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18
Marina86 [1]

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

7 0
3 years ago
Which type of graph would display the cilnic totals for each of the 12 months?
BartSMP [9]

the dot plot, because box plot only shows the 5 number summary and histograms show ratios

3 0
3 years ago
Read 2 more answers
What is m∠A ?<br><br><br><br><br><br> Enter your answer in the box.<br><br> °
slava [35]
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.

This means we can find the measure of <CED: 

<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º

By the definition of vertical angles states that a pair of vertical angles are congruent.

This means <CED = <AEB
If <CED = 102º 
Then <AEB = 102º

By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º

<AEB = 102º
<EBA = 18º

102º + 18º + <BAE(<A) = 180º

<BAE = 180º - 102º - 18º
<BAE = 60º

<BAE is another way to say <A

<span>m∠A  = 60º</span>




5 0
3 years ago
Read 2 more answers
The conservation club has 32 members. There are 18 girls in the club.
leva [86]

Answer: 9/7

Step-by-step explanation:

Girls = 18

Total = 32

32-18 = 14

18/14 simplify

= 9/7 (B)

8 0
3 years ago
The radius of a circle is 8 inches. What is the circle's area?
sveta [45]

Answer:

200.96

Step-by-step explanation:

3.14 x (8x8) = 200.96

8 0
3 years ago
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