Line n is a perpendicular bisector of line segment T V. It intersects line segment T V at point R. Line n also contains points Q and S. Line segment R V is 3 x + 2. Line segment Q V is 4 x + 1. Line segment T S is 9 x minus 4. The length of TR is 17 units.

What are the lengths of SV and QT?

SV = units QT = units

Answer:

The addition expression to represent the situation is $143 + ( - $40 ) + ( $92)

Sum is $195

Step-by-step explanation:

Given: Olivia has $143 in the bank. She withdraws $40. Then she deposits $92

To find:  addition expression to represent the given situation. Also, to find the sum

Solution:

Amount in the bank = $143

Amount withdrawn from the bank is denoted by the minus sign

So, amount withdrawn from the bank = - $40

Amount deposited in the bank is denoted by the plus sign

So, amount deposited in the bank = +$92

Therefore,

the addition expression to represent the situation is $143 + ( - $40 ) + ( $92 )

Also,

$143 + ( - $40 ) + ( $92 ) = $143 - $40 + $92 = $195

Answer:

d = -2

Step-by-step explanation:

→Distribute the -4 to (-3d - 3)

-4(-3d - 3) = 6d

12d + 12 = 6d

→Subtract 6d from both sides:

6d + 12 = 0

→Subtract 12 from both sides:

6d = -12

→Divide both sides by 6:

d = -2

Answer:

[tex] \boxed{d = -2} [/tex]

Step-by-step explanation:

[tex]= > - 4( - 3d - 3) = 6d \\ \\ = >( ( - 4) \times ( - 3d)) - ( - 4 \times 3) = - 6d \\ \\ = > 12d + 12 = 6d \\ \\ = > 12d - 6d + 12 = 0 \\ \\ = > 6d + 12 = 0 \\ \\ = > 6d = - 12 \\ \\ = > d = - \frac{12}{6} \\ \\ = > d = - 2[/tex]

Answer:

Is this correct

Answer:

The answer would be 10 cups

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

So we start solving like:

x+1x=3

(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27

x3+1x3+3×3=27

x3+1x3+9=27

x3+1x3=18  

Therefore the answer is 18

Answer:

C.) Third graph

Step-by-step explanation:

BeCaUsE i KnOw :P

Answer:

1/6

Step-by-step explanation:

I think it is:

0.5/(0.5+2.5) = 0.5/3 = 1/6

Answer:

um what's your math on??

Answer:

They would receive $22,500 which is 75% of her income

Step-by-step explanation:

Here, we want to know how much the beneficiaries of a life insurance scheme would receive if their principal die.

From the question, we are told that they have the right to claim 75% of her income

From the question also, we were told that what she earns per annum is $30,000

Now, since they have the right to claim 75%, the amount they can claim out of the said income will be;

75/100 * $30,000 = $22,500

Answer:225,000

Bshshsjjdjdnfnjfkf

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Answer:

[tex]56.55[/tex] [tex]in[/tex]

[tex]254.47[/tex] [tex]in^{2}[/tex]

Step-by-step explanation:

[tex]C=\pi d[/tex]

[tex]C=18\pi[/tex]

[tex]C=56.54866776[/tex]

[tex]A=\pi r^{2}[/tex]

[tex]A=\pi(9)^{2}[/tex]

[tex]A=81\pi[/tex]

[tex]A=254.4690049[/tex]

⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔⛔

the answer which you have done is correct !

Answer:

128

Step-by-step explanation:

Answer:

I think its C: 102

Step-by-step explanation:

78 + x = 180

180-78 = 102

Answer:E

Step-by-step explanation:

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

Answer:

I think its a trapezium

area of trapezium= 1/2×(sum of parallel sides) ×height

1×(28+26)×18

2

1/2×54×18

54×9

= 586 km²

hope it helps

Answer:

k = 8

Step-by-step explanation:

You are solving for the variable, k. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents

Multiplications

Division

Addition

Subtraction

First, add 62 from both sides:

8k - 62 = 2

8k - 62 (+62) = 2 (+62)

8k = 2 + 62

8k = 64

Next, divide 8 from both sides:

(8k)/8 = (64)/8

k = 64/8

k = 8

8 is your answer for k.

~

Answer:

75 Dragons

Step-by-step explanation:

We know that the ratio is 5 dragons and 4 knights.

Now, there are 60 knights, meaning the original number of knights (4), was multiplied by 15. So, if one side is multiplied by 15, the other side must follow the same rule. So, 15 x 5 = 75.

There are 75 Dragons.

Answer:

75

Step-by-step explanation:

thats a lot of flipping dragons, you better hope they are the size of a dog or youre flipping dead

Answer:

Step-by-step explanation:

(3-7)/(-2+1)= -4/-1= 4

y - 7 = 4(x + 1)

y - 7 = 4x + 4

y = 4x + 11

Answer: Answer in the photo

Step-by-step explanation:

Answer:

12.91

Step-by-step explanation:

find the square roots ;

10.39 + 11.18 - 8.66 = 12.91

Answer:

c=face. b=vertex. a=line

Step-by-step explanation:

Answer:

a= edge   b=vertex    c=face

Step-by-step explanation:

Answer:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Putting time into years for simplicity,

6 months / 12 months/year = 0.5 years.

Solving our equation:

A = 200(1 + (0.055 × 0.5)) = 205.5

A = $205.50

Step-by-step explanation:

Answer:

The answer is C.

Step-by-step explanation:

You can't have a negative number of peas or carrots, so A and B are out. 1

00+250=350 which is more than 300.

150+145 = 295 which is less than 300.

So the answer is C.

The solutions of an equation are the true values of the equation.

The only viable solution is (c) (150, 145)

Let x represent peas and y represents carrots.

So, the constraints are:

[tex]\mathbf{x , y \ge 0}[/tex] ---- i.e. the values of x and y cannot be 0

[tex]\mathbf{x + y \le 300}[/tex] ---- i.e. the sum of x and y cannot exceed 300

[tex]\mathbf{x , y \ge 0}[/tex]  means that options (a) and (b) are wrong.

This is so, because:

(-25, 100) and (380, -160) contain negative values of x or y

[tex]\mathbf{x + y \le 300}[/tex] means that option (d) is wrong.

This is so, because:

The sum of (100, 250) exceeds 300

Hence, the only viable solution is (c) (150, 145)

Read more about viable solutions at:

https://brainly.com/question/16057582

Answer:

30°

Step-by-step explanation:

Complementary is they add up to 90°

90° - 60° = 30°

Answer:

30 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees.   Thus, 60 and (complementary angle) = 90 degrees.  Thus, the angle that is complementary to 60 degrees is 30 degrees.

Answer: £208,000

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original price

r = increase rate (decimal form)

t= years  (2015-2010 =5 years)

A = price after t years

Replacing with the values given:

265,000 = p (1+ 0.05)^5

Solving for p

265,000 = p (1.05)^5

265,000 = p (1.05)^5

265,000/ (1.05)^5 =p

p =  £207,634. =208,000 (rounded)

Feel free to ask for more if needed or if you did not understand something.

Answer:

208,000

Step-by-step explanation:

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

Answer:C

0.1s=2•0.2h

H+S=30

Step-by-step explanation: I did it on khan

Answer:

In an isosceles triangle the base angles are congruent, meaning that the "missing" angle is also a. This means that 40 + a + a = 180 because the sum of angles in a triangle is 180.

40 + a + a = 180

40 + 2a = 180

2a = 140

a = 70°

Answer:

y = -x -3

Step-by-step explanation:

Slope intercept form is in the form y= mx+b where m is the slope and b is the y intercept

Plug in the values from the problem