What is the area of the base ? / / / / /

Answer:

Step-by-step explanation:

Answer:

(7,8)

Step-by-step explanation:

The point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.

It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.

Line AB and CD are parallel to each other.

Line AB:

(y- 6) = -2(x-3)

y - 6 = -2x+6

2x+y = 12

Line CD:

2x + y = d

Plug (9,4)

18+4 = d

d = 22

2x + y = 22 ...(1)

Line BC:

(y - 2) = 1/2(x-5)

2y -4 = x-5

-x + 2y = -1

x - 2y = 1

Line AD:

x - 2y = e

3 - 12 = e

e = -9

x-2y = -9 ...(2)

The intersection point of (1) and (2)

x = 7 and y = 8

Thus, the point D is (7, 8) for which the given coordinates of A(3, 6), B(5, 2), and C(9, 4), make a square.

Learn more about the square here:

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Answer:

Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)

Step-by-step explanation:

Answer:

angle g is a 2 and fghj is a 1234 ok

Answer:

1986-2510=-524

-524-420=-994

-994+712=-232

final altitude=-232

Step-by-step explanation:

Answer:

66 ft.

Step-by-step explanation:

Add 9+9+9+9+30 and that equals 66.

[tex]\frac{1}{5}p = 4[/tex]

Multiply both sides by 5 to isolate p.

p = 4 * 5 = 20

p = 20

Answer:

474

Step-by-step explanation:

38/12= 3.16

3.16x150=474

Answer:

-21x + 15!

Step-by-step explanation:

Multiply using the distributive property. Hope this helps!

-Lei

Answer:

x=8

Step-by-step explanation:

3(x-5)=9

3x-15=9

3x-15+15=9+15

3x=24

x=8

Answer:

x=8

Step-by-step explanation:

3(x-5) = 9

(3(x-5))/3 = 9/3

x-5 = 3

x-5+5 = 3+5

x=8

Answer:

Yes

Step-by-step explanation:

I'm assuming this is right

Answer:

6. Additional information is required on the two triangles

7. The pair of triangles are similar by SAS similarity postulate

8. Yes, by triangle proportionality theorem

9. DE = 9

Step-by-step explanation:

When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant

6. From the given figure, more information is required on the two triangles

However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate

7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;

18/45 and 10/25

18/45 = 2/5

10/25 = 2/5

Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate

8. By triangle proportionality theorem, we have;

If [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex], then we have;

3/6 = 4/8 = 2

∴  [tex]\overline{MN}[/tex] ║ [tex]\overline{KL}[/tex]

9. By triangle proportionality theorem, where [tex]\overline{BE}[/tex] ║ [tex]\overline{CD}[/tex], we have;

12/20 = DE/15

∴ DE = 15 × 12/20 = 9

DE = 9

Answer:

Square. If the middle is 90° then all of them have to be.

Answer:

Square

Step-by-step explanation:

Technically that shape is all of them, because squares are all quadrilaterals, but the square is the most precise that you can get.

Hope that this helps!

Answer:

22.50%

Step-by-step explanation:

Rate of return = ( Return on stocks / price at which it is bought) x 100

Return on stocks = (price at which it is sold - price at which it is bought )

Price at which 20 stocks are bought = 20 x 20 = $400

Return = $490 - $400 = $90

($90 / $400) x 100 = 22.50%

Answer:it’s c

Step-by-step explanation:

Answer:

-62

Step-by-step explanation:

180-w+49(angles  on  a straight line=180)

angles on a triangle=180

Hence,

         180-w+49+w+17+w-4=180

collect the like terms

180+49+17-4+w+w-w=180

242+w=180

Take 180 to the other side and also w

242-180=-w

62=-w    same as w=-62

Answer: 2 one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.

Answer:

Eleventeen

Step-by-step explanation:

Answer:

THIRTEEN

Step-by-step explanation:

Answer:

94.24 ft and thank you!

Step-by-step explanation:

Answer:94.24ft

Step-by-step explanation:thx :)

Answer:

4 = [tex]\sqrt{15[/tex]

Step-by-step explanation:

Answer:

AC = 28

Step-by-step explanation:

ΔADB ≈ ΔDBC

DC / BC = AD / 15

16 / 20 = AD / 15

cross-multiply:

20AD = 240

AD = 12

AD + DC = AC

12 + 16 = AC

28 = AC

(0, 0) is a solution to the equation y = 9x

Given the equation y = 9x, we are to determine whether (0, 0) is a solution to the equation

To do that, we will substitute x = 0 into the expression and determine if the value of y is 0.

If x = 0

y = 9x

y = 9(0)

y = 0

Since the resulting value of y is zero, hence (0, 0) is a solution to the equation y = 9x

Learn more on coordinates here: https://brainly.com/question/1047474

Answer:

2x^3

[tex]2x^{3}[/tex]

Answer:

12 unit sq

Step-by-step explanation:

here's your solution

=> the above picture is trapezium

=> so, area of trapezium = 1/2*sum of parrel side * distance between them

=> area = 1/2(10+2)*2

=> area = 12units^2

hope it helps

Answer:

12

Step-by-step explanation:

The left triangle: 2x2=4  4/2=2

The square in the middle: 2x2=4

The right triangle: 6x2=12  12/2=6

Altogether: 2+4+6=12

Answer:

A, B, C.

Step-by-step explanation: