The measure of angle STV is 60°
The measure of angle WTV is 25°
The measure of angle STW is x°

Answer: [tex]\angle B=79^{\circ}.[/tex]

Step-by-step explanation:

When two lines cross each other , then the opposite angles are known  as vertical angles.

Vertical angles are equal.

Here, ∠A and ∠B are vertical angles.

So, ∠A = ∠B

If [tex]\angle A=(6x-11)^{\circ}[/tex] and [tex]\angle B=(5x+4)^{\circ}[/tex]

Then , [tex]6x-11=5x+4[/tex]

Subtract 5x from both sides, we get

[tex]x-11=4[/tex]

Add 11 on both sides, we get

[tex]x=15[/tex]

Now , [tex]\angle B=(5(15)+4)^{\circ}=79^{\circ}[/tex]

Hence, the measure of [tex]\angle B=79^{\circ}.[/tex]

Answer:

3%

Step-by-step explanation:

46.35 - 45 = 1.35 (change)

change/original price X 100

1.35/45 = 0.03

0.03 X 100 = 3

sales tax 3%

Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer: What grade work is this? I think I can help...

Step-by-step explanation:

Kindly check picture to the question below.

Answer:

150 minutes

Step-by-step explanation:

Volume of prism = height * base area

Height of prism = 1m

Base area = area of a trapezium

Area of trapezium = 0.5(a + b) h

a, b = parallel sides, h= height of trapezium

Area of trapezium = 0.5(1.4+0.6)*2

Area = 0.5(2)*2 = 2m²

Hence,

V of prism = area of trapezium * height of prism

Volume = 2m² * 1m = 2m³

Decrease in water level due to pumping

20cm decrease in 30minutes

(20/100)m in 30 minutes

0.2 m decrease in height of water

Hence, height of water in prism after 30 minutes pumping :

height - 0.2 = 1 - 0.2 = 0.8m

Volume after 30 minutes of pumping :

Base area * new height

2m² * 0.8m = 1.6m³

Decrease in volume over 30 minutes :

(Initial volume - volume after pumping)

2m³ - 1.6m³ = 0.4m³

If ;

0.4m³ = 30 minutes

1.6m³ = x

0.4x = 48

x = 48 / 0.4

x = 120

Hence, it takes 120 minutes for the remaining 1.6m³ to be emptied.

Hence, total wait time :

120 minutes + 30 minutes

= 150 minutes

Answer:

y=29

x=9

Step-by-step explanation:

plug the first equation into the second one as y

2x+y=47

solve

then plug answer u got in x

y=3(9)+2

solve

Answer:

There is no solution

Step-by-step explanation:

-4(x+3)=16-4x

expand

−4x−12=16−4x

cancel out

−12=16

because −12=16 is false there is no solution.

Hope this helps :)

Answer:

2nd option is correct answer

Answer:

-56/8 = -7

Step-by-step explanation:

Answer:

the probability is one in 6

Step-by-step explanation:

there are 6 sides on a basic die and so the only number higher than 5 is 6. you have a 1/6 chance.

Answer:

( 5 + s ) 4 = 20 + 4 s

Step-by-step explanation:

Distribution property

Let a, b and c are numbers then distribution property is defined by

a( b + c) = a b + a c

(a+ b) c = a c + b c

Given that

( 5 + s ) 4 = 5× 4 + s× 4

               = 20 + 4 s

Final answer:-

( 5 + s ) 4 = 20 + 4 s

Answer:

a) b^4×b^5

hope it helps..,

Answer: x = 5

Step-by-step explanation:

Answer:

y=x+1

Step-by-step explanation:

Answer-

Step-by-step explanation:

Answer: the first box put 2

The second box put 3

Step-by-step explanation:

i will explain in the comments below

Answer: The smallest possible value of q is 9.

Step-by-step explanation:

If we have the set of N numbers:

{x₁, x₂, x₃, ..., xₙ}

The mean of this set is:

M = (x₁ + x₂ + x₃ + ... + xₙ)/N

Now, in this case our set is:

{1, 2, 3, 4, 5, 6, p times 5, q times 7}

Then we have a total of:

6 + q + p numbers.

The mean of this set will be:

Mean = 5.3 = (1 + 2 + 3 + 4 + 5 + 6 + p*5 + q*7)/(6 + p + q)

This is the equation that we will use now.

First, we can simplify this as:

5.3 = (21 + p*5 + q*7)/(6 + p + q)

Now we can pass the denominator in the right to the other side as:

5.3*(6 + p + q) = (21 + p*5 + q*7)

31.8 + p*5.3 + q*5.3 = 21 + p*5 + q*7

Now we want to isolate the variable p in one side of the equation.

p*5.3 - p*5 = 21 - 31.8 + q*7 - q*5.3

p*0.3 = q*1.7 - 10.8

p = (q*1.7 - 10.8)/0.3 = q*(1.7/0.3) - 36

p = q*(1.7/0.3) - 36

p = q*(17/10)*(10/3) - 36

p = q*(17/3) - 36

Now we can see that the denominator is 3, so q should be a multiple of 3.

We want to start with the smallest multiples of 3, but if we use q = 3, then we will have a negative value of p (the same happens if we use 1 = 6)

We do not want that, then we need to use q = 9

p = 9*(17/3) - 36

p = 3*17 - 36

p = 15

Then we have;

9 times the number 7

15 times the number 5 (plus one, because it was already on the first 6 numbers that Sam wrote)

The smallest possible value of q is 9.

Now we want to get the smallest possible value of q.

Remember, p and q need to be positive numbers.

Answer:

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

Step-by-step explanation:

Explanation

The associative property of multiplication

 a . ( b. c ) = ( a. b) . c

Given numbers are  8, 5 and b

The associative property of multiplication

 8 . ( 5. b ) = ( 8. 5) . b

 8 . ( 5. b ) = ( 8. 5) . b = 40 b

Answer:

Step-by-step explanation:

Adam's age = 4 years

Ava's age = 2 * 4 = 8 years

Olivia's age = 4 ÷ 2  = 2 years

Answer:

Step-by-step explanation:

Adam is 4 years old.

Ava's age = 2 * 4 = 8 years old

Olivia's age = 4 ÷ 2  = 2 years old

Answer: The mean is 87

84+ 85 + 85+ 86 +90+ 92 = 522/6 = 87

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

To find the mean of the a set of numbers, we first need to add all the numbers and divide by the number of terms in the set.

84 + 85 + 85 + 86 + 90 + 92 = 522

There are 6 terms so we divide by 6

522/6 = 87

Answer:

C

Step-by-step explanation:

think of a random K number (like 3 for example)

1/2(3) = 3/2

this equals k/2 = 3/2

Answer:

if your going up it is 12 14 16 18 20 22 24 26 28 30 32 34 if you go down 12 10 8 6 4 2 0

Answer:

The 2nd one. With the intersection to the left of the y-axis on the x-axis

Step-by-step explanation:

Answer:

04) Subtract 4, subtract 4x, then divide by 2.

Answer:

option A.

Step-by-step explanation:

2x + 2 + 4 = 4x - 2 + 2

2x - 2x + 6 = 4x - 2x

3 = x OR x = 3

Answer:

The answer is (61/3), (-23/3)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Hoped this helped!

Answer:

2

Step-by-step explanation:

4 divided by 2

Answer:

2 oranges

Step-by-step explanation:

because half of 4 oranges is 2

plz follow me

Answer:

1) The probability that at least 2 support Green is 1 minus the probability that 0 people or 1 person supports Green

2) The probability that exactly 1 person supports Green

Step-by-step explanation: