Lines QS and NR intersect at P. Ray PM is perpendicular to line SQ.

What is the value of y?

Lines QS And NR Intersect At P. Ray PM Is Perpendicular To Line SQ.What Is The Value Of Y?

Answers

Answer 1

Answer:

A. 13

Step-by-step explanation:

[tex] (6y - 14) + 90 + (2y) = 180 [/tex] (angles on a straight line)

Solve for y

[tex] 6y - 14 + 90 + 2y = 180 [/tex]

Collect like terms

[tex] 6y + 2y - 14 + 90 = 180 [/tex]

[tex] 8y + 76 = 180 [/tex]

Subtract 76 to both sides

[tex] 8y + 76 - 76 = 180 - 76 [/tex]

[tex] 8y = 104 [/tex]

Divide both sides by 8

[tex] \frac{8y}{8} = \frac{104}{8} [/tex]

[tex] y = 13 [/tex]


Related Questions

Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000

Answers

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

Which value of x will make the fraction 10/x equivalent to 2/3?

I need this urgently!!!

Answers

Answer:

The value of x would be 15

Explanation:

10/x = 2/3

Cross multiply:

10 · 3 = x · 2

30 = 2x

30 ÷ 2 = x

15 = x

An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?

Answers

Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]

[tex]\implies x^2 - 12x + 24 = 0[/tex]

[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]

[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]

[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]

where;

[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]

∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

V = 18.93 ×  6.93 ×  2.536

V = 332.685 cubic inches

    A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.

Volume of a cuboid:   Volume of a cuboid or rectangular box is given by the expression,

           Volume = Length × Width × Height

Given in the question,

   Plastic sheet with length = 12 inches    Width of the sheet = 24 inches    A square has been removed from each corner to fold the box.

Let the measure of each side of a square removed = x inches

Therefore, length of the box = (12 - 2x) inches

Width of the box = (24 - 2x) inches

Height of the box = x inches

Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)

                                V  =  4x³ - 72x² + 288x

To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.

V' = 12x² - 144x + 288

For V' = 0,

12x² - 144x + 288 = 0

x² - 12x + 24 = 0

[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]

[tex]x=(6\pm2\sqrt{3})[/tex]

[tex]x=9.46,2.54[/tex]

For x = 9.46,

Volume of the box = 4(9.46)³- 72(9.46)² + 288

                               = -2769.03 cubic inches

For x = 2.54,

Volume of the box = 4(2.54)³- 72(2.54)² + 288

                               =  332.55 cubic inches

       Therefore, maximum volume of the box will be 332.55 cubic inches.

Learn more about the volume of a cuboid here,

https://brainly.com/question/25395659?referrer=searchResults

PLZ HELP!!! WILL GIVE U BRAINLIEST!!!

Answers

Answer:

Graph B is correct

(3,-1)

Step-by-step explanation:

Convert to slope-intercept form and find them on graph.

Answer:

Graph B and (3,-1)

Step-by-step explanation:

Step: Solve x−2y=5 for x:

x−2y=5

x−2y+2y=5+2y (Add 2y to both sides)

x=2y+5

Step: Substitute 2y+5 for x in 3x+15y=−6:

3x+15y=−6

3(2y+5)+15y=−6

21y+15=−6 (Simplify both sides of the equation)

21y+15+−15=−6+−15 (Add -15 to both sides)

21y=−21

(Divide both sides by 21)

y=−1

Step: Substitute−1for y in x=2y+5:

x=2y+5

x=(2)(−1)+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−1 or (3,-1)

the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7​

Answers

Answer:

x²=5x

x=5... probably c

While at the pet store, Fred counted the number of animals in the store. For every 3 dogs in the store, there were 4 cats. Identify the equivalent ratios of dogs to cats. Select two that apply. 6:8 B 300:40 C 9:12 D 6:2​

Answers

A and C would be your answer because
3x2= 6
4x2=8.
And
3x3=9
4x3=13

Answer:

I am thinking that it is A and C

Step-by-step explanation:

If I am right may I get a brailiest

If I am wrong I am so very sorry

Helpoooooooooooooooooooo

Answers

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

write an equation of the line with a slope of -3/4 and y-intercept of -6

Answers

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer: y = (-3/4)x - 6

y=_x+_ what would be the answer​

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Do you guys know this

Answers

Answer:

18

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.

We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.

An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.


Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)


How long (in feet) is a real caboose?

ft

Answers

9514 1404 393

Answer:

c/3 = 169/1242 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  [tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]

The real caboose is 42 1/4 feet long.

The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?​

Answers

Answer:

-7 degrees celsius

Step-by-step explanation:

12-19=-7

Answer:

-7

Step-by-step explanation:

12 - 19 = -7

A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP

Answers

Blue can be 1/10 and yellow can be 3/10 or other way around.

Find the number whose arithmetic square root is 0.6

Answers

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

Which of the following describes the following graph?

A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation

Answers

The answer is A for the correct answer

Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5

Answers

Answer: y= -2/7x-2

Step-by-step explanation:

To be parrell they have to have the same slope but different y intercepts.

so just put -2 so it will cross that point

Ima be doing this for the whole form sorry I’m failing math

Answers

Slope (m) = y/x = -3/2 = -1.5

Answer:

4,0 2,3 ans solutions this may help

A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form

Answers

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

For more about the linear function,

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The sum of 2x50 and 3x50 is ____ x 50?

Answers

5

Simply add 3 and 2. You dont need to worry about the 50.

Or, complete 2x50 and 3x50

Now you would have 100 and 150.

Then add them to get 250.

Finally, divide 250 by 50.

Your answer should be 5

Which of the following shows the best communicative property of addition ?
4+5=4-(-5)
4+5=9
4+5=5+4
4+5=4+(2+3)

Answers

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

Commutative property of Addition:

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

Which type of cloud is mostly made up of ice crystals? A. Altostratus B. Cirrus C. Cumulus D. Stratus

I know not math But please help

Answers

Answer:

The answer is B

Step-by-step explanation:

look it up on google.

Answer:

The answer is B

Mostly its of B but some clouds are also made up of cmulus(option C)

A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.

Answers

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

which of the following can be used to show that these triangles are congruent?

Answers

Answer:

ASA

Step-by-step explanation:

Angle B side BC and angle C

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

In the given figure, ΔABC and ΔCDE.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Here,

Consider ΔABC and ΔCDE, we get

∠B = ∠E (Given)

BC=CE (Given)

∠BCA = ∠ECD (Vertically opposite angles)

By ASA congruence, ΔABC≅ΔCDE

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

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What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm

Answers

Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

Hope it help, please give me Brainlest!

Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?

Answers

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

choices for the first select

∠7 or none of the angles

choices for the second select

is or is not

choices for the third select

is or is not

giving brainliest !!!!!

Answers

Answer:

1. None of the angles

2. Is not

3. Is not

Step-by-step explanation:

We can see if the triangles are congruent by ASA (angle, side, angle)

We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.

1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins

Answers

Answer:

1) 90 mi

2) 4 inch

Step-by-step explanation:

1)

Given that the distance between Fairview and Abbots Rise on the map = 5 in

Scale of the map = 1 in: 18 mi

i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.

Given that the map has a distance of 5 inches.

Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi

2) A particular satellite is 12 ft wide.

Model's scale = 1 in : 3 ft

i.e. 1 inch on map is equivalent to actual distance of 3 ft.

OR

3 ft of actual distance = 1 in on map

1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map

12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]

Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?

Answers

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.

Answers

Answer:

131,040

Step-by-step explaination:

There is around 29-31 days in a month, so if you just round it's around 30 days a month.

30×6= 180 (days)

180×728= 131,040 ounces

jasons dog would drink 131,040 in 6 months.

Find the PERCENT of change.
20 dogs to 5 dogs

Answers

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

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