Based on the drawing, which of the following rules could be used to prove triangle UVW is congruent to triangle XYZ?

Answer:

196 m² ; 1000 m

Step-by-step explanation:

Given that:

Dimension of rectangular garden = 60m by 40m

Width of the 2 paths that run across each other = 2m

Hence,

Area of path 1 = (length * width) = (60 * 2) = 120m²

Area of path 2 = (breath * width) = (40 * 2) = 80m²

Area of Point where both paths cross each other (2 * 2) = 4m²

Total area covered by both path = (120m² + 80m² - 4m²) = 196m²

B.)

Area of rectangular field = 60000m²

Ratio of length and breadth = 3 : 2

Length * breadth = 60000

x ; breadth = (2/3)x

x * (2/3)x = 60000

2/3 x² = 60000

x² = 60000 ÷ 2/3

x² = 40,000

x = sqrt(40000)

x = 200

(3/2) * 200 = 300

Length = 300

Hence,

Perimeter = 2(length + breadth)

Perimeter = 2(300 + 200)

Perimeter = 2(500)

Perimeter = 1000m

Answer:

The answer is below

Step-by-step explanation:

Distance between two points [tex]A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane[/tex]

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The area of rectangle = length * breadth

The area of rectangle ABCD = |AB| * |BC|

[tex]|AB|=\sqrt{(6-0)^2+(4-4)^2}=6\\\\|BC|=\sqrt{(6-6)^2+(0-4)^2} =4[/tex]

The area of rectangle ABCD = |AB| * |BC| = 6 * 4 = 24

E(x, y) is midpoint of line DC. Its coordinate is:

x = (6 + 0) / 2 = 3; y = (0 + 0) / 2 =0

The coordinate of E = (3, 0)

F(a, b) is midpoint of line DA. Its coordinate is:

a = (0 + 0) / 2 = 0; b = (4 + 0) / 2 = 2

The coordinate of E = (0, 2)

The area of rectangle DEGF = |DE| * |DF|

[tex]|DE|=\sqrt{(3-0)^2+(0-0)^2}=3\\\\|DF|=\sqrt{(0-0)^2+(2-0)^2} =2[/tex]

The area of rectangle ABCD = |DE| * |DF| = 3 * 2 = 6

Therefore, area of rectangle DEGF is one fourth the area of rectangle ABCD

Answer:

Your choices of answers are confusing , but It looks like A is a good fit

Step-by-step explanation:

[tex]x^{2}[/tex] + 14x +54  ( from drawing )   [ leave the web address for the graphing webpage so you can use it to check answers]

complete the square on the above expression

[tex]x^{2}[/tex] +14x + [tex]7^{2}[/tex] + 54 - 49   ( b/c we added 49 to complete square)

(x+7)^2 + 5

So this looks a bit like answer A

Step-by-step explanation:

[tex]x = \frac{7}{ \sqrt{3} } = \frac{7 \sqrt{3} }{ \sqrt{3 } \times \sqrt{3} } = \frac{7 \sqrt{3} }{3} [/tex]

Answer:

f=32

Step-by-step explanation:

f /4 =8

( f/ 4 )*(4)=(8)*(4)

Answer:

Step-by-step explanation:

Q1)

Use Phythogoras theorem:

[tex](AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20} \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}[/tex]

Q2)

Apply phythogoras theorem:

[tex]CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4[/tex]

Q3)

Apply phythogoras theorem again:

[tex]BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218} \\\\BC=\sqrt{218} \\\\BC=14.76[/tex]

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

Answer:

Compounded Quarterly

Step-by-step explanation:

This is because the compound interest equation is dependent on the number of times the amount is compounded per year. Monthly is 12 times per year and quarterly is only 4. Simple interest stays at a linear rate.

Step-by-step explanation:

21/20 = m/100

m = 100 * (21/20) = 105.

Answer:

-x+11

Step-by-step explanation:

am not sure if this is correct but

2x-3x=-x

-7+18=11

-x+11

Answer:

well for me it's because

Step-by-step explanation:

Of the raise to power

Answer:

A

Step-by-step explanation:

Answer:12.4 inch

Step-by-step explanation:

49.4 is the total length of the rope. And you have to equally divide it into 4 parts.

So 49.4/4

=12.4 inch(rounded off to 3 s.f from 12.35)

Answer:

Addition

Step-by-step explanation:

By simple addition we can reduce the no. Of steps involved.

Answer:

Subtracting; x = 3/2, y = 8

Step-by-step explanation:

1. Subtracting them from one another because the 1/2y term matches up.

2. when added together:

8x = 12

x = 3/2

plug the x value into one of the equations:

y = 8

Answer:

w = -19

Step-by-step explanation:

10 + w = -9

-10         -10

w = -9 - 10

w = -19

Answer:

1.   20 cm^2

2.  40 cm^2

3.   14 cm^2

4    49 cm^2

Step-by-step explanation:

Area of triangle= 1/2(base)*(height)

Area of rectangle= (base)*(height)

1. 1/2(10)(4)=20

2. (8)(5)=40

3.1/2(4)(7)=14

4. (7)(7)=49

Answer:

y = (-2/3)*x -7

Step-by-step explanation:

2x+3y=15

3y = -2x + 15

y = (-2/3) *x + 5

slope for parallel line should be -2/3 too

pass (-3 , -5)      y = mx + b      b = y - mx = (-5) - ((-2/3) * (-3))

b = -5 - 2 = -7

parallel line: y = (-2/3)*x -7

Answer:

b / (b - 8)

Step-by-step explanation:

Given that :

Litres of water held by bucket = b

Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8

The number of times bucket can hold than jar is :

Litres held by bucket / litres held by jar

b / (b - 8)

Answer:

1. 24 + x

2. 7v - 14

3. 3v - 27

Step-by-step explanation:

Distributive property means that you go through something by either multiplying or dividing by whatever may be in the parentheses.

1. For one you would multiply the 3 through. 3 x 8 + 3x which can be simplified into 24 + 3x.

2. For two you would multiply the 7 through. 7v - 7 x 2, which can be simplified into 7v - 14.

3. For three you would multiply the 3 through. 3v - 3 x 9, which can be simplified into 3v - 27

Hope this helps!

Please tell me if I am incorrect I enjoy learning from my mistakes!

Good luck!

Answer:

Im not gonna explain i will give you the answer that i came up with I currently have 60 right now hope this is right

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

$.80 the new amount is $10.80

Brainliest Please!!!!?!!!!!!!!!!!

Answer:

Its supposed to be 28.52 - 11.20 not 11.2

Step-by-step explanation:

Answer:

1)Premium = 615,000 Rupees

2)Premium = 492,000 Rupees

Step-by-step explanation:

Property worth = 20,500,000 Rupees

Premium rate = 3%

1) the property is fully insured means the property is insured to 100% of its value.

Thus, the insured value = 20,500,000 Rupees

Thus,

the premium = 20,500,000 × 3%

Premium = 615,000 Rupees

2) the property is insured to 80% of its value.

Thus, the insured value = 20,500,000 × 80% Rupees = 16,400,000 Rupees

Thus,

the premium = 16,400,000 × 3%

Premium = 492,000 Rupees

Answer:

30 feet

Step-by-step explanation:

90/30*10=30

Answer:

The answer is 30 ft

Step-by-step explanation:

Answer:

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

Step-by-step explanation: