2 A garden hose supplies 36 gallons of water in 3 minutes. Use a table or eq
ratios to show the garden hose's water flow in gallons per minute and minutes
per gallon.

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

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Answer:

Step-by-step explanation:

Answer:

....................trapezium

Answer:

trapezoid or trapezium

Step-by-step explanation:

Answer:

2.4 days

Step-by-step explanation:

Time working together,t ,is

1/t = 1/a+ 1/b  where a and b is the times working alone

1/t = 1/4 + 1/6

Multiply each side by 12t to clear the fractions

12t( 1/t )= 12t(1/4 + 1/6)

12 = 3t+2t

12 = 5t

Divide by 5

12/5 = 5t/5

2 2/5 =t

2.4 days

Answer:

2.4 days

Step-by-step explanation:

i just took a test and got a 100%

Answer:

a

Step-by-step explanation:

The measure of side a is 6.3 unit.

The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.

Given:

c= 16 and B= 67 degree

<C= 90 degree

Using sine law

b / sin B = c / sin C

b / sin 67 = 16 / sin 90

b/ sin 67 = 16 / 1

b = 16 sin 67

b = 16 x 0.9205

b = 14. 728

Using sine law

c / sin C = a / sin A

16 / sin 90 = a / sin 23

16 = a / sin 23

a = 6.25

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Answer:

1 to 4 (1:4)

Step-by-step explanation:

every 1 mile to every 4 miles

car A 1 mile to car B 4 miles

Answer:

whats the question?

Step-by-step explanation:

Answer:

-2a+b

Step-by-step explanation:

Answer:

solution,

[tex](a + 2b) - (3a + b) \\ = a + 2b - 3a - b[/tex]

Collect like terms

[tex] = a - 3a + 2b - b \\ [/tex]

Simplify:

[tex] - 2a + b[/tex]

Hope this helps..

good luck on your assignment....

Answer:

answer is 45 if helped please give 5 star

Answer:

The answer that you are looking for is basically y = 7/6x + any number besides 4.

Step-by-step explanation:

So, two parallel lines are two lines that will never intersect. To have that, both of the lines have to have the same exact slope. But they cannot have the same y-intercept because that would change it from parallel to infinite solutions.

I hope that I helped.

Answer:

y = 7/6x + any number but not 4

ERROR

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Step-by-step explanation:

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

=======================================================

Work Shown:

5 digits = 1 second

50 digits = 10 seconds (multiply both sides by 10)

At the end of 10 seconds, he has written 50 digits.

The first 9 digits (1 through 9) are single digits. After writing them, Steve has 50-9 = 41 digits left.

41/2 = 20 remainder 1. So this means that he wrote 20 additional two-digit numbers after that 1 through 9 block of single digit numbers. Those two-digit numbers are 10 through 29. The last digit he writes is 3

So the last two digits he wrote was 9 and 3

Add them up get 9+3 = 12

Answer:

12.

Step-by-step explanation:

If he writes 5 digits a second, then in 10 seconds he will write 50 digits:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3

9 + 3 = 12

Hope this help!

Answer:

26 <t+2

Step-by-step explanation:

The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.

Hope this helps!

Answer:

your answer would be 45 I hope this was helpful

Step-by-step explanation:

Answer:

The answer is A, 45.

Step-by-step explanation:

Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

Answer:

No correlation

Step-by-step explanation:

You said that Points are scattered all over the graph so The two quantities on x-axis and y-axis have no correlation. No correlation is when the points are scattered all over the graph and have no connection between them. No correlation means they have no relation between them.

Answer:

No correlation

Step-by-step explanation:

The crridnents are placed randomly about so they do not form a trend line therefor making it no correlation.

Answer:

g= 4

Step-by-step explanation:

first, you want to subtract 36 from both sides of the equation to get rid of that and the plus sign, and get 6g by itself so that would be -6g=-24. then, you want to divide -6 from both sides, so you get g=4 as your answer. and I promise you that it's not so hard once you get the hang of it.

Answer:

G=4

Hint: Isolate terms with G to the left hand side

Subtract 36 from both sides:

(36-36) -6g = 12-36

Hint: Look for the difference of 2 identical terms.

-6g = -24

Divide by -6 on both sides:

-6g/-6 = -24/-6

g = 4

Hope this helps!

I don't even understand why math is a thing lol

Answer:

12x^3 -28x^2 -21x +30

Step-by-step explanation:

1) Distribute!

(6x-5)(2x^2-3x-6) = 12x^3 -18x^2 - 36x -10x^2 +15x+30

2) Combine like terms!

12x^3 -18x^2 - 36x -10x^2 +15x+30 = 12x^3 -28x^2 -21x +30

Answer is:

12x^3 -28x^2 -21x +30

Hope it helps!!

Answer:

-2q - 6

Step-by-step explanation:

Step 1: Rewrite expression

-6 + 4q - 6q

Step 2: Combine like terms

-6 - 2q

Step 3: Rearrange

-2q - 6

Answer:

The like terms are 4q and -6q. Since 4q + (-6q) = -2q the answer is -6 - 2q.

I think the answer might be 10

Answer:

15...?

Step-by-step explanation: Sorry if I got this incorrect...

Alex 15 arrows hit a target in all.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Alex's first 10 all hit the target and earned him 20 more.

Now he has 20 and has used 10.

His next 5 hit the target and earned him 10 more.

He now has 25 (20–5+10) and has used 15.

All of the remaining 25 miss the target.

Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.

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Answer: 7.65 ft3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a triangular prism = base area x height

Since:

Area of a triangle (base) = side length x height  

Replacing with the values given:

A= (2 x 1.7 )/2 = 1.7 ft2

Back with the volume formula:

V = base area x height

Replacing with the values given:

V=1.7 x 4.5 =7.65 ft3

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

There is no restriction on the variable x, so the domain is all reals.

Similarly, the range is all reals as the graph of this function is a line that is neither vertical nor horizontal.

Answer:

60°

Step-by-step explanation:

DISCLAIMER:

the triangle is the pic is for representation purposes only.

Or in other words, we don't know what kind of a triangle is given so I just randomly draw an Acute triangle.

Anyway, if you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

Answer:

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

Step-by-step explanation:

[tex]E = mc^2[/tex]

[tex]$c^2=\frac{E}{m} $[/tex]

[tex]$c=\sqrt{\frac{E}{m} } $[/tex]

or

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

The equation will be , C= (E/3)^1/2

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

E = mc^2

c² = E/m

c= √ (E/m)

or,

C=  (E/m) ^1/2

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Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

Answer:

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.  Thus, angle y = 100 degrees.  In a parallelogram adjacent angles are supplementary so angle x and z are 80 degrees.

Hope it helps <3

Answer:

-4

Step-by-step explanation:

Slope is rise over run:

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The table is a linear function, so any two points from the table would have a consistent slope.  

Pick two points and apply them to the formula:

(-4,-2) and (-2, -10)

[tex]m=\frac{-10+2}{-2+4}=\frac{-8}{2}=\boxed{-4}[/tex]

The slope is -4.  Yes, your answer should be correct.