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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

Answer:

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

Step-by-step explanation:

Answer:

2x+5

Step-by-step explanation:

Answer:

5(2x) => 10x

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:

A, B, C.

Step-by-step explanation:

Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604

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:

Yes

Step-by-step explanation:

I'm assuming this is right

[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:

Step-by-step explanation:

Answer:

-21x + 15!

Step-by-step explanation:

Multiply using the distributive property. Hope this helps!

-Lei

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:

66 ft.

Step-by-step explanation:

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

Answer:

1986-2510=-524

-524-420=-994

-994+712=-232

final altitude=-232

Step-by-step explanation:

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:

94.24 ft and thank you!

Step-by-step explanation:

Answer:94.24ft

Step-by-step explanation:thx :)

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:it’s c

Step-by-step explanation:

Answer:

Area=1/2 b×h

A1=1/2×8×14

=56m²

A2=1/2 ×16×14

=112m²

therefore total area

=56+112

168m²

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:

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

(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