Shelley pours gallon of water into a bird bath. The next morning, she finds that of the water is gone. What is the amount of water, in gallons, that is gone?

Given:

In a parallelogram [tex]PRTV, VQ\perp PR,VS\perp RT[/tex].

To prove:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Solution:

It is given that [tex]VQ\perp PR,VS\perp RT[/tex], it means [tex]\angle PQV[/tex] and [tex]\angle TSV[/tex] are right angle triangles.

In triangle PQV and triangle TSV,

[tex]\angle PQV\cong \angle TSV[/tex]         (Right angles)

[tex]\angle QPV\cong \angle STV[/tex]         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

[tex]\Delta PQV\sim \Delta TSV[/tex]

We know that the corresponding parts of similar triangles are proportional. So,

[tex]\dfrac{PQ}{TS}=\dfrac{PV}{TV}[/tex]

It can be rewritten as:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Hence proved.

J0IN G00GLE MEET GIRL$

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Answer:

7

Step-by-step explanation:

First, you need to plug in the values for x. Here, we know that x = 5. So, when we plug it in we get 2^5 - 5^2. When we simplify, we then get 32 - 25. Thus, 32 - 25 = 7.

Answer:

Step-by-step explanation:

55% = 0.55

30 dollars is the normal price so ,  

30*0.55=16.5  is the amount marked off

30-16.5=14.50  is the price of the shirts

12.00 was the cost of the shirts

14.5-12=2.50  profit per shirt

Answer:

1. BC = 86 Km

2. 090°

Step-by-step explanation:

1. Determination of BC

AB = 27 Km

AC = 82 Km

BC =?

Since the figure is a right angle triangle, we shall determine BC by using pythagoras theory. This is illustrated below:

BC² = AB² + AC²

BC² = 27² + 82²

BC² = 729 + 6724

BC² = 7453

Take the square root of both side

BC = √7453

BC = 86 Km

2. Determination of the bearing of C from A.

From the diagram given above, we can see that angle from A and C is 90°. Thus, the bearing of C from A is 090°

Answer:

x=8

Step-by-step explanation:

4x/4=8

Multiply both sides by 4

4*4x/4=8*4

Simplify;

4x=32

Divide both sides by 4

4x/4=32/4

Simplify;

x=8

Answered by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

Answer:

108 °

Step-by-step explanation:

∠DOC = 180° - 112° = 68°

∠DOC = 1/2(arc AB + arc DC)

68 = 1/2(y + 80 + y)

68 = y + 40

y = 28

arc dc = 80 + 28 = 108 °

Answer: it should be (2,2)

Step-by-step explanation:

cuz A is (-2, 5) so -2+4=2 and 5-3=2 so it is (2,2)

Answer:

x = 16 and y = 116

Step-by-step explanation

For the trapezoid, the sum of the adjacent side is 180. Hence;

6x+20 + 4x = 180

10x + 20 = 180

10x = 180-20

10x = 160

x = 160/10

x = 16

Also, the sum of opposite side is 180, hence;

4(16)+ y = 180

64 + y = 180

y = 180 - 64

y = 116 degrees

hence x = 16 and y = 116

Answer:

i have no idea just need the points

Answer:

SU.CK MY FU.CKIN.G BALLS B.ITC.H

1 out of 10 can be written as a fraction/ 1/10

Multiply total students by the fraction:

360 x 1/10 = 360/10 = 36

There are 36 left handed students.

Answer:

90 numbers

Step-by-step explanation:

Total choices(don’t care about anything)

6*6*6= 216 numbers

Half of these numbers are odd because the odd numbers are just 1,3,5

6*6*3=108

the three is there because there is 3 odd digits

we can subtract this from 216 along with the numbers that have a repeated 6

case 1: 66_

66 and any other number

remember: we have 6 choices for the last number

number of choices= 1*1*6=6 (the 1’s are there because 6 is the only digit that can come there).

case 2: 6_6

just like last time we have 1*6*1 choices=6

cool?

case 3: _66

again, we have 6*1*1=6 choices

Plan: total numbers minus the odd numbers and 6 repeats

216-108-18=90

answer 90 numbers

Mark me the brainliest only if you see my effort and you think it makes sense

Answer:

12

Step-by-step explanation:

First subtract 7 from 43, 55 and 67

43 - 7 = 36 ;  55 - 7 = 48  ;  67 - 7 = 60

Now find the GCF of 36 , 48 , 60

36 = 2 * 2 * 3 * 3

48 = 2 * 2 * *2*2 * 3

60 = 2 * 2 * 3 * 5

GCF = 2 * 2 * 3 = 12

The required number is 12

When you divide 43 by 12, the remainder is 7.

When you divide 55 by 12, the remainder is 7

When you divide 67 by 12, the remainder is 7

Super sports:

Price with discount: 68.875

Price without: 72.50

(6.5%)Sales tax total: 10.5961538462

Total: 79.4711538462

Extra work:

72.50/ 20=3.625

72.50-3.625=68.875

68.875 / 6.5=10.5961538462

68.875 + 10.5961538462 =79.4711538462

Double dribble:

Price: 54.75

(9%)Processing fee: 6.08333333333

($5.99)Shipping fee : 5.99

Total:66.8233333333

Extra work:

54.75 / 9= 6.08333333333

54.75 + 6.08333333333 = 60.8333333333

60.8333333333 + 5.99=366.823333333

Therefore:

Double dribble has the best pice and is  12.6478205132 less than Super sports.

Answer:

[tex]\frac{4z}{3y^2}[/tex]

Step-by-step explanation:

Answer:

4z/3y^2

Step-by-step explanation:

The image below shows my work for the problem :)

Answer:

Answer and steps in picture.

Answer:

$1591.35

Explanation:

in the first year,

$1,500 × (100% + 3%)

= $1,500 × 103%

= $1,545

in the second year,

$1,545 × (100% + 3%)

= $1,545 × 103%

= $1591.35

do comment if you need any clarification. i hope this helps! :D

Answer:

a

Step-by-step explanation:

i just did it

The sides of a square are all the same length.

Area = length x width.

Area = 10 1/4 x 10 1/4 = 105 1/16

Answer:

I can't really see because it's blurry but if you're solving for x then...

x=13

Step-by-step explanation:

77+90+x=180

167+x=180

-167 -167

x=13

Answer:

x = 13 The points you gave are enough.

Step-by-step explanation:

FGD and 77 are complementary    Added together they equal 90 degrees.

<FGD = 90 - 77

<FGD = 13

<FGD and x are vertically opposite angles.

Vertically opposite angles are equal.

x = 13

Answer:

25

Step-by-step explanation:

15/6*10 = 25

Answer:

I'm thinking that -3 is the y-intercept since it's the only number without an exponent and it's not being raised to anything. Maybe?

Answer: yes you would

Step-by-step explanation:

Answer:

sales equal $15,000

Step-by-step explanation:

x = amount of sales

f(x) = 500 + 1/6x

3000 = 500 = x/6

2500 = x/6

x = 15,000

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

Answer:

Step-by-step explanation:

Make 7 a fraction

Flip the second fraction

Multiply

Simplify

7/1 x 4/3=28/3=9 1/3

(Keep Change Flip)

Keep 7, change dividing to multiplying, and change 3/4 to 4/3.

7 x (4/3)

7x4=28

Answer:

$25.20

Step-by-step explanation:

All you have to do is 21x1.20 and you get 25.2. Brainliest would be very helpful and appreciated.

Answer:

$25.20

Step-by-step explanation:

You do 21 times the decimal form of the fraction 120.

The way you make it decimal form is by moving the decimal places two spaces to the left.

So 1.20

So 21 • 1.20

25.20

So 25.20 is 120% of it