In the diagram, points Q, R, S and T are collinear and PR = RS. IF RS = 12 and RT = 30, find
a) QR
b) ST
c) QS
d) QT​

Step-by-step explanation:

3x + 1 = 5x

Bringing like terms on one side

1 = 5x - 3x

1 = 2x

1/2 = x

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write out equation

3x + 1 = 5x

Step 2: Subtract 3x on both sides

1 = 2x

Step 3: Divide both sides by 2

x = 1/2

Correct Question

30th term of AP 10, 7, 4 is​

Answer:

The 30th term is -77

Step-by-step explanation:

Required

Determine the 30th term of the given progression

First, we need to determine the common difference (d);

[tex]d = T_2 - T_1[/tex]

[tex]d = 7 - 10[/tex]

[tex]d = -3[/tex]

The nth term of an AP is calculated by

[tex]T_n = a+ (n -1) d[/tex]

In this case;

n = 30;

a = First term = 10

d = -2

Substitute these values in the given formula

[tex]T_{30} = 10+ (30 -1) * -3[/tex]

[tex]T_{30} = 10+ (29) * -3[/tex]

Open the bracket

[tex]T_{30} = 10-87[/tex]

[tex]T_{30} = -77[/tex]

Hence, the 30th term is -77

Answer:

-2.5 = x

Step-by-step explanation:

-10 = 4x

the equation between 4 and x is multiplication

as our goal is to move the x on its separate side, we should divide each side by 4 to get rid of the bond between the 4 and the x

Therefore,

-10 = 4x

-10/4 = x

Simplify into decimal if needed

-2.5 = x

Hope that helped!!! k

Answer:

[tex]\Large \boxed{{x =- \frac{5}{2} }}[/tex]

Step-by-step explanation:

We need to isolate the [tex]x[/tex] variable on one side of the equation to find the value of [tex]x[/tex] that makes the equation true.

[tex]-10=4x[/tex]

Divide both sides of the equation by 4.

[tex]\displaystyle \frac{-10}{4} =\frac{4x}{4}[/tex]

Simplify the equation.

[tex]\displaystyle \frac{-5}{2} =x[/tex]

Answer:

6:10 is the ratio

Step-by-step explanation:

hope this helps

Answer:

The correct option is;

C. 3.25 + 5.50·S ≤ 30

Step-by-step explanation:

The given parameters are;

The cost of the chocolate milk ordered = $3.25

The unit quantity of pancake sales = Stack

The number of pancakes in a stack = 4

The amount a stack of four pancakes is sold = $5.50

The number of pancakes Benjamin wants to buy = As many as he can

The number of stacks of pancakes Benjamin buys = S

The cost of the pancakes Benjamin buys = $5.5 × S

The cost of the number of pancakes Benjamin buys

The maximum amount Benjamin wants his bill to amount to = $30

Therefore we have;

The cost of chocolate milk ordered + The cost of pancakes Benjamin buys  ≤ $30

Which gives;

$3.25 + $5.50 × S  ≤ $30

Therefore, the correct option is 3.25 + 5.50·S ≤ 30.

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

Explanation:

Solve each inequality for x

[tex]5x \ge 20[/tex] solves to [tex]x \ge 4[/tex] after dividing both sides by 5

[tex]x+14 < 16[/tex] solves to [tex]x < 2[/tex] after subtracting 14 from both sides

The original system solves to [tex]x \ge 4 \ \text{ or } \ x < 2[/tex] which is the same as [tex]x < 2 \ \text{ or } \ x \ge 4[/tex]

So x is either less than 2, equal to 4, or larger than 4.

The graph that fits the description above is Choice B. We have an open hole at x = 2 to show we don't include this value. In contrast, there's a filled in hole or closed circle at x = 4 to include this value. The blue shaded region is the set of all possible x values, so we shade to the left of x = 2 and to the right of x = 4.

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Side note: I don't know why your teacher thought it was a good idea to make the answer choice tiles be larger than the actual problem itself. It should be the other way around. Though to be fair, it's probably a design choice that your teacher wasn't involved in.

Answer:

A {(3,2), (4,5), (6,8),(7,5)}

Answer:

hii

Step-by-step explanation:

how are you hope you are fine

Answer:

Step-by-step explanation:

Given,

Marked Price ( MP ) = Rs 25000

Vat percent = 13 %

Discount percent = 10 %

▪️Finding the discount amount

Discount amount = Discount % of MP

= 10 % of 25000

= Rs 2500

▪️Finding the Selling price

Selling price ( SP ) = MP - Discount amount

= Rs 25000 - Rs 2500

= Rs 22500

▪️Finding the Vat amount

Vat amount = Vat % of SP

= 13 % of 22500

= Rs 2925

▪️Finding the SP with VAT

SP with vat = SP + Vat amount

= Rs 22500 + Rs 2925

= Rs 25425

Hope I helped !

Best regards!!

Answer:

its flipped over the y axis and then it goes 6 to the right and 6 up. To find how they are congruent, just use Pythagorean theorem to find the side lengths for each side and say that by using the rule SSS or side side side you know that the triangles are the same.

Step-by-step explanation:

to find the side length with Pythagorean theorem for example for side DE, side DE is basically the hypotenuse of the triangle to just count the height and base using the graph and in this case it would be  h=6 b=3 and then use the Pythagorean theorem to find the actual side length of the line, which would be √45.

Answer:

(7³ + 7³) cubic units

Step-by-step explanation:

The formula for the volume of a cube = (Side length)³

From the question, we are told that, we have two cubes

Cube 1 :

Side length = 7

Volume of cube 1 = 7³ cubic units

Cube 2

Cube 2 also has a side length of 7 as well

Volume cube 2 = 7³ cubic units

We are asked in the question to find the total volume of the cube and express as exponents

Total volume = Volume of cube 1 + Volume of cube 2

=( 7³ + 7³) cubic units

Answer:

21 students

Step-by-step explanation:

Let c = number of students in class

c* 2/7 = 6

Multiply each side by 7/2

c * 2/7 *7/2 = 6 *7/2

c = 21

There are 21 students in the class

Answer:

2. aa

Step-by-step explanation:

youre given all the angles so its proven to be similar by angle angle

Answer:

aa

Step-by-step explanation:

The two triangles have angles that are equal so we need to use the angles to prove similarity

We have all three angles that are equal

We only need two angles to use the AA postulate of similarity, which is if two angles are the same then the triangles are similar

the answer is 11

11x3= 33

33-12=21

Answer:

X = 52

Step-by-step explanation:

X / 8   -   1 / 2  =  6

X / 2³  -  1 / 2  = 6

X + 4( -1)  /   2³  = 6

X - 4 = 48

X = 48 + 4

X = 52

Answer:

34π/3 (= 11.3 π )   mi²

Step-by-step explanation:

(see attached for reference)

area of sector is given by:

A = (θ/360) π r²

where

θ = angle of sector (given as 255°)

r = radius (given as 4 miles)

substituting the known values into the formula:

A = (θ/360) π r²

A = (255/360) π (4)²

A = (255/360) π (16)

A = 34π/3 mi²

A = 11.3 π    mi²

edit: expressed answer in improper fraction form to match answer choices.

Answer:

104.8 in^2

Step-by-step explanation:

There are 2 ways to solve this problem.

The 1st way:

Let's make 2 triangles and 1 rectangle:

Rectangle Length = 8.3

Rectangle Width = 8

So, the left out length will be 17.9 - 8.3

=> 9.6

Since, 9.6 cm is for 2 parts.

=> 9.6 / 2

=> 4.8

So, Height of the Triangle = 8

      Base of the triangle = 4.8

Area of a rectangle

=> 8.3 x 8

=> 66.4

Area of the triangle

=> 1/2 x 8 x 4.8

=> 4 x 4.8

=> 19.2

There are 2 triangles:

=> 19.2 x 2

=> 38.4

=> 66.4 + 38.4

=> 104.8

The area of the trapezoid = 104.8 in^2.

The 2nd way is:

Area of a trapezoid

=> Smaller Base + Larger Base / 2 x Height

=> 8.3 + 17.9 / 2 x 8

=> 26.2 / 2 x 8

=> 13.1 x 8

=> 104.8

The area of the trapezoid is 104.8 in^2

Answer:

26 should be the median

Step-by-step explanation:

is what I got

Answer:

The degree of this monomial is 2.

Step-by-step explanation:

This is because the degree of a monomial (or a polynomial, binomial) is equal to the degree (exponent) of the term in the monomial. In polynomials, it would be the degree of the term with the HIGHEST degree.

-1.75k^2

The exponent is two, so the degree is two.

Hope this helped!!!

Answer:

7) a = 65; b = 50

8) c = 125; d = 55; e = 52

9) f = 105

Step-by-step explanation:

7)

a = 65

b + 130 = 180

b = 50

8)

c = 125

d + 125 = 180

d = 55

e = 52

9)

(180 - f) + 32 + (180 - 107) = 180

180 - f + 32 + 180 - 107 = 180

-f + 285 = 180

-f = -105

f = 105

Answer:

a = 65, b = 50, c = 125, d = 55, e = 52, f = 105, g = 128, h = 40, j = 21, k = 71

Step-by-step explanation:

7. a = 65 degrees - (corresponding angles theorem)   b = 50 degrees - (because of same sided interior angles theorem you have to do 180 - 130)

8. c = 125 (corresponding angles theorem)  d = 55 (c & d are a linear pair so you have to do 180-125)     e = 52 (alternate interior angles theorem)

9. f = 105 (Because of alternate interior angles theorem the angle that is 32 degrees and the angle next to it is 107. Next subtract 32 from it, which will make it a 75 degree angle. Lastly to find f use same sided interior angles theorem, this means subtract 180-75)

10. h = 40 (because of vertical angles theorem the other angle in the triangle is 52 degrees. Now find add 88 + 52 = 140, then subtract it from 180)     g = 128 (same sided interior angles theorem)

11. j = 21 (First find the missing angle in the triangle. To do that add up all of the angles and then subtract it from 180. This makes the missing angle 39. Now subtract that from 60)

12. k = 71 (Since this is an isosceles triangle the 2 base angles will be congruent. Because of same sided interior angles theorem subtract 148 from 180, making it 32. We are trying to find the top angle of the triangle so add 32 + 110 = 142. Then subtract it from 180, 38. Now subtract 38 from 180, 142. Lastly divide it by 2, 71.)

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Work Shown:

15n+30 = 75

15n+30-30 = 75-30 ... subtract 30 from both sides

15n = 45

15n/15 = 45/15 .... divide both sides by 15

n = 3

Answer:

b

Step-by-step explanation:

The expression in terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

hD = m

To solve for D make the subject as D

As we know the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Divide by h on both the sides:

hD/h = m/h

Here h ≠ 0

D = m/h

Thus, the expression in  terms of m and h is D = m/h if the expression is hD = m; the answer is D = m/h.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

The density of the material is approximately 6.79 ounces per litre

Step-by-step explanation:

We note that 1 fluid ounce = 26.5735 mililiter

The mass of the material for every 9 fluid ounces of volume = 46 grams

Therefore, the density of the material is given as follows;

Density = Mass/Volume = 46 grams/(9 × 26.5735 mililiter)

Density =  46 grams/(239.1615 mililiter)  

1 gram = 0.035274 ounces

46 grams = 46 × 0.035274 ounces = 1.622602 ounces

1 mililiter = 0.001 litre

239.1615 mililiter = 0.2391615 litre

The density in ounces per liter is therefore;

Therefore;

The density of the material =  46 grams/(239.1615 mililiter) = 1.622602 ounces/0.2391615 litre

The density of the material ≈ 6.785 ounces/litre which is 6.79 ounces/litre to the nearest hundredth.

Answer: the correct answer is 6.10 ounces per liter

Step-by-step explanation:

Answer:

the degree to which the sample varies from the population on important characteristics.

Step-by-step explanation:

Maximum variation sampling is a sampling method in which the sample is made up of extremes. The sample is usually chosen in such a way that reflects a wide degree of diversity in a population.

Maximum variation sampling is used;

When the purpose is to understand the view of diverse groups of people on a particular topic.

When the researcher doesn't know much about the population

When the researcher wants the responses to be as diverse as possible.

Answer:

6

Step-by-step explanation:

Answer:

Complete the division.

The quotient is 3x2 +  

-2

x +  

5

.

Step-by-step explanation:

edg 2020

Answer:

1. Shape of line drawn by round ball is:  Rectangle

2. Length of path round ball creates is:  64 inches

Step-by-step explanation:

The perimeter of the box is 30+30+14+14 = 88 inches.

We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.

The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.

2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.

Width of one side = 14-6 = 8

= 8 inches

Length of one side = 30-6 = 24

= 24 inches

We add together 8+24 = 32, and then multiply by 2

32 *2 = 64

Answer:

Hey there!

5000000-1500000=3500000

3500000/15=$233333.33

Your answer should be $233333.33

Let me know if this helps :)

Answer: 3*3 + 3*3 = 9 + 9 = 18

You would use trial and error for this type of problem. Often parenthesis are involved to change the order of operations, but no parenthesis are needed here.

Answer:

f(x) = -1

Step-by-step explanation:

f(x) = 5-3x

Put x = 2

f(x) = 5-3(2)

f(x) = 5-6

f(x) = -1

Answer:-1

Step-by-step explanation:

f(2)=5-3(2)

f(2)=5-6

f(2)=-1

Answer: A Edge

You fell sharply behind your expected schedule with regard to saving

Look your test

Step-by-step explanation:

Step-by-step explanation:

Water makes up more than half of our body weight. Without water, all organisms in the world would die. Water is necessary not only for drinking but also for our day to day life purposes like bathing, cooking, cleaning, and washing and so on. We cannot imagine a life without water.