P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and

SQR = 46°.
Work out

RPQ

P, Q & R Form A Right-angled Triangle. R, S & P Lie On A Straight Line.PS = SQ And SQR = 46.Work

Answers

Answer 1

Answer:

m<RPQ = 22°

Step-by-step explanation:

Given:

m<SRQ = 90°

PS = PQ

m<SQR = 46°

Required:

m<RPQ

Solution:

m<SQR + m<SRQ + m<RSQ = 180°

Substitute

46° + 90° + m<RSQ = 180°

m<RSQ = 180° - 136°

m<RSQ = 44°

Find m<PSQ:

m<PSQ = 180° - m<RSQ (Angles on a straight line

m<PSQ = 180° - 44° (Substitution)

m<PSQ = 136°

Find m<RPQ:

∆QSP is an isosceles triangle with two equal base angles. Therefore:

m<RPQ = ½(180° - 136°)

m<RPQ = 22°


Related Questions

Please help this is my last question no links please

Answers

Answer:

i will say the second one

Step-by-step explanation:

5y + 32 = -64 find the value of y

Answers

Answer:

[tex]y = 19 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day !!!!

~Hi1315~

5y + 32 = -64 Y = 6.4

HELP PLEASE QUICKLY!!! NO LINKS PLSS!!
1. The garden of the hotel has a certain shape as seen in the figure below. Teresa wants to plant roses in that garden The diagram shows the shape and dimensions of Teresa’s rose garden.

a. Find the area of the garden.

b. Teresa wants to buy mulch for her garden. One bag of mulch covers 12 square feet. How many bags will she need?

Answers

1a. (15x9)+(9x24)
135+216
351 ft squared
1b. 30 bags

Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?
A - Eric rode 222 more miles per week than Kim rode.
B - Kim rode 333 more miles per week than Eric rode.
C - Kim rode 111111 more miles per week than Eric rode.
D - Eric rode 171717 more miles per week than Kim rode.

Answers

Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

135/9

= 15

Find how many miles per week Eric rode:

102/6

= 17

So, Kim rode 15 miles per week and Eric rode 17 miles per week.

The answer is Eric rode 2 more miles per week than Kim rode.

Answer:

A.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system. How long will it take until there is only 25 mg

of ibuprofen left in the person's system? Show all work and round your answer to

three decimal places.

Answers

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

A positive number is 5 times another number if 21 is added to both the numbers the one of the new numbers becomes twice the other number. what are the numbers​

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35

A picture is attached!

Hope it helps!

Brainliest pls!

Follow me! :)

Please help me, I need help

Answers

Answer:

x:5⁰

y:52⁰

Step-by-step explanation:

triangle:180⁰

the triangleis isoceles triangle so y:52⁰

so B is 72⁰

(14x+6)⁰=(14(5)+6)⁰=72⁰

20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2

Answers

Answer:

We first ALWAYS have to split the figure apart from each other,

lets split it into a triangle and a square!

Let's find the area of the triangle:

20(height) x 20(base) = 400!

400 x 1/2 (just dividing by 2) = 200!

*Remember* Formula of a triangle is:

B(base) x H(height) x 1/2 (basically dividing by 2)

Now time to find the area of the square!

20 x 20 = 400!

Now let's add both their areas:

400 + 200 = 600!

Step-by-step explanation:

600cm2 is your answer.

The figure has an area of 600 square centimeters.

In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:

[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)

Where:

[tex]A[/tex] - Total area, in square centimeters.[tex]A_{s}[/tex] - Square area, in square centimeters.[tex]A_{t}[/tex] - Triangle area, in square centimeters.

By applying area formulas for squares and triangles, we expand (1):

[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)

Where:

[tex]x[/tex] - Side length of the square, in centimeters.[tex]y[/tex] - Height of the two right triangles, in centimeters.

If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:

[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]

[tex]A = 600\,cm^{2}[/tex]

The figure has an area of 600 square centimeters.

We kindly invite to check this question on areas: https://brainly.com/question/16418397

The cone has a base diameter of 20cm and a slant height of 25 cm.

A circle is drawn around the surface of the cone at a slant height of 10cm above the base.

The curved surface of the cone above the circle is painted grey.

Work out the area of the curved surface of the cone that is not painted grey,

Give your answer as a multiple of

You must show all your working.

Answers

Answer:

The area of the cone not painted is approximately 196.35 cm²

Step-by-step explanation:

The question relates to similar shapes;

We have;

The base diameter of the cone, D₁ = 20 cm

The slant height of the cone, l₁ = 25 cm

The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm

Let 'x' represent the diameter of the circle formed by the drawn circle, we have;

By similar triangles, we get;

D₁/l₁ = x/l₂

x = l₂ × D₁/l₁

20/25 = x/15

x = (20/25) × 15 = 12

The curved surface area of the cone, A = π·r·l

The area of the curved surface of the entire cone, A₁ = π·r₁·l₁

r₁ = D₁/2

Therefore, we get, A₁ = π × 20/2 × 25 = 250·π

A₂ = π × 15/2 × 25 = 187.5·π

The area of the cone not painted, A = A₁ - A₂

∴ A = 250·π - 187.5·π = 62.5·π

The area of the cone not painted, A = 62.5·π ≈ 196.35

The area of the cone not painted ≈ 196.35 cm²

Your 6 and 2/3 year investment of $1,450 at 5.4% compounded monthly brought you a grand total of?

Answers

Answer:

$2,003.38

Step-by-step explanation:

What is the perimeter of the rectangle? L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwWmJyVDFqTFkzLXZ2RUFuT1lPWVJPbWl0N0JKUVhrVnZZbnVOQ19tOGgtNmwwQm12SkdMcDVnOU1aLWVoNUV6UURRcC1GZHFqTE42NWVMdGNsazl6Y0FPc0RaS1RDV0E5XzRCeW5RT3Z4MjRMLXdscy4wcUhHUHlaNlREN0dYWVAt?W=400&h=400 a 20 units b 18 units c 24 units d 22 units

Answers

Answer:

just do 400 times 400 witch is 1600

Step-by-step explanation:

In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?

Answers

Answer:

1/8

Hope this helps

that would leave only 1/8 of the apple not water common sense

Gina drew three small congruent circles
beside one large circle.
2 cm
Based on the diagram, which answer
choice is closest to the area of the large
circle?
F 28.3 cm?
H 18.8 cm?
G 12.6 cm? J 24.4 cm?
7.9B

Answers

Answer:

7.9

Step-by-step explanation:

A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in square meters

Answers

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

Area= 3.14(38.25)

Area=120.105m^2

Hence the area of the side walk is 120.105m^2

To the nearest cent, what is the ,begin emphasis,mean,end emphasis, weekly income of these employees?

Answer options with 4 options

A.$115.64

B.$138.05

C.$140.23

D.$157.38

Answers

Answer:

I think b?

Step-by-step explanation:

Answer:

157.38

Step-by-step explanation:

if you add all those numbers you will get 1888.59/12= 157.38

Can some one help on number 5 and 6 please

Answers

Step-by-step explanation:

To find mean-

you add all the #'s together and then (/) them by the amount of the #'s

#5.   8, 2, 3, 5, 7

8+2+3+5+7

10+8+7

10+15

25

25/ 5

5

#6.   4, 1, 6, 3, 6, 4

4+1+6+3+6+4

5+9+10

5+19

24

24/ 6

4

The median is the (middle) you have to put the #'s in order least to greatest

#5.    2, 3, 5, 7, 8

cross one by one on both sides

3, 5, 7,

5

#6.   1, 3, 4, 4, 6, 6

3,4,4,6

4,4

4 (because in the middle of 4 and 4 well is 4) (if you had 5 and 6 left it would be 5.5)

The mode is the # that appear the most often in the set of data.

#5.  there is no more because there is one of each # there is none that has 2 or more (N/A)

#6.    1,3, 4, 4, 6, 6

the mode is 4 and 6

because those #'s have 2 or more and they are both at 2 so they are both the mode

Can someone please help me with this?? I would love the help!!

Answers

Just write I have my own problems to deal with.

Combine like terms 3x+8b+7x+11+6b=

Answers

Answer:

10x+14b+11

Step-by-step explanation:

3x+8b+7x+11+6b

3x+7x+8b+6b+11 = Regroup them

10x+14b+11 = Combine like terms

The requried, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

To combine like terms 3x+8b+7x+11+6b, we can add the coefficients of x, add the coefficients of b, and add the constant terms. So we have:

3x + 8b + 7x + 11 + 6b = (3x + 7x) + (8b + 6b) + 11

Combining the like terms:

= 10x + 14b + 11

Therefore, 3x+8b+7x+11+6b simplifies to 10x + 14b + 11.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Pls Answer! Will give brainliest. Khanna earns a annual salary of $33,000. Her federal income tax bracket is 20%. She also must pay 7.65 % Social Security and Medicare taxes. She plans to deposit 15% of her net income into a savings account. Rounded to the nearest dollar how much will she save annually?

3203

3581

3960

4571

Answers

Answer: $3,581

Step-by-step explanation:

As she plans to save from her net income, we have to find the net income first:

= Net income - Federal taxes - Social and Medicare taxes

= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)

= $23,875.50

The savings will be:

= Net income * Savings percentage

= 23,875.50 * 15%

= $3,581.325

= $3,581

Hiiiooo! Can someone please help ❤️

Answers

Answer:

B. √21

Step-by-step explanation:

x^2 = √5 x √5 + 4 x 4

x^2 = 5 + 16

x^2 = 21

x = √21

Hope that helps! :)

-Aphrodite

Answer:

im not entirely sure but the equation for your hypotenuse (x) is  [tex]\sqrt 5^{2} * 4^{2}[/tex]

which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse

(i just realized that is completely wrong, sorry)

ILL MARK YOU BRAINLEIST.

Finish each equation so that it has the correct solution or type of solutions:
3x + 4 = ______ no solutions
3x + 4 = ______ infinite solutions
3x + 4 = ______ solution is x = 4
3x + 4 = ______ solution is x = -3
3x + 4 = ______ solution is x = 1/2

Answers

Answer:

0

x

16

-5

5.5

Step-by-step explanation:

What are two numbers that has the product of 40 but has the sum of 13

Answers

Answer:

8 and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

What are the factors of 40? 8 * 5

8 + 5 = 13

 

To do it algebraically gives you a quadratic:

A + B = 13

AB = 40

 

A(13 - A) = 40

A2 - 13A + 40 = 0

 

(A - 8)(A - 5) = 0

 

A = 8 and B = 5

Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x2-8x + 6x2

Answers

Question

Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²

Answer:

Standard form: -5x²- 8x + 2

name: Quadratic polynomial

Step-by-step explanation:

Given polynomial

2-11x²-8x + 6x²

To write this polynomial in standard form,

i. First simplify it

Collect like terms

2 - 11x² + 6x² - 8x

Add the second and fourth terms

2 - 5x² - 8x

ii. Arrange the terms in the polynomial in order of decreasing order of x.

In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.

In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.

Therefore, the standard form of the given polynomial is

-5x²- 8x + 2

The degree of a polynomial which is in standard form is the order of its first term.

In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.

Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.

NEED HELP ASAP!!! EASY QUESTION :)

Answers

the answer is -2 i think

The sides of a triangle are x cm, (x - 1) cm and (x + 2) cm. IF the perimeter is 29 cm, then the SHORTEST side is​

Answers

Answer:

8 1/3

Step-by-step explanation:

x+(x-1)+(x+2)=29

3x+1=29

3x=28

x=9 1/3

9 1/3-1= 8 1/3

Find the 9th term of the geometric sequence show below
-9x^4,27x^5,-81x^6

Answers

Answer:

Scale factor is -3

so,

243x^7

-729x^8

2187^9

9. Todd takes out a student loan for $25,000. The annual simple interest
rate on the loan is 4.75%. How many years will it take for the interest on
the loan to reach $7,125?

Answers

Answer:6

Step-by-step explanation:

4.75% of 25000 is 1,187.5

Times 6 it's 7,125

in comparison to 1/3 where would 2/6 be located on a number line

Answers

Answer:

The same place as 1/3

Step-by-step explanation:

image for more context

PLZZZ GIVE ME BRAINLIEST

Write an equation modeling the revenue generated: x1 + x2 = 9,000

Answers

Answer: Small correction from the bottom one its 35, 22

Step-by-step explanation: Edginuity 2021 just got is right.

Answer:

35 and 22

Step-by-step explanation:

Sam and Alex play Tennis. On the weekend Sam played 8 more games than Alex did, and together they played 24 games. How many games did Alex play? How many games did Sam play? Let a represent the number of games Alex played. Write and solve an equation to determine the number of games Alex and Sam played.

Answers

Answer:

Alex played 8 games and Sam played 16.

Step-by-step explanation:

I am unaware of the equation, the answer just makes sense. I apologize.

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