Mathematics High School

P, Q & R form a right-angled triangle.
R, S & P lie on a straight line.
PS = SQ and ∠SQR = 36°.
Work out
∠RPQ

P, Q & R Form A Right-angled Triangle.R, S & P Lie On A Straight Line.PS = SQ And SQR = 36.Work

Answers

Answer 1

Answer:

∠RPQ = 27

Step-by-step explanation:

In ΔSRQ,

∠R = 90

∠SQR = 36°

∠R + ∠SQR + ∠RSQ = 180    {Angle sum property of triangle}

90 + 36 + ∠RSQ = 180

126 + ∠RSQ = 180

         ∠RSQ = 180 - 126

        ∠RSQ = 54°

∠PSQ +∠RSQ = 180   {Linear pair}

∠PSQ + 54 = 180

 ∠PSQ = 180 - 54

∠PSQ = 126

In ΔPSQ,

SQ = PS ,

So, ∠SQP = ∠SPQ    {Angles opposite to equal sides are equal}

∠SQP = ∠SPQ   =x

∠PSQ + x +x = 180  {Angle sum property of triangle}

126 + 2x = 180

2x = 180 - 126

2x = 54

x = 54/2

x = 27

∠RPQ = 27°

Related Questions

Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.

Answers

Answer:

5.4

Step-by-step explanation:

Juss took the test

What is the first step in solving for w in the equation 3W + 5 = 14?

Answers

subtract 5 from both sides so that you can can 3W by itself and then you divide both sides by 3W and you should get w=3

What is the value of 5 1/3 ​ - 4 12
Help

Answers

4 < 5 < 12
4 is less than 5 is less than 12
4/
1
< 5/
1
< 12/
1

Answer:

The answer is 5/6.

Step-by-step explanation:

If both the numbers are mixed then,

(5 1/3) - (4 1/2)

= {(3*5)+1}/3  -  {(2*4)+1}/2

= (16/3) - (9/2)

= (32-27)/6

= 5/6

Hope this helps.

If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2

Answers

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

Complete the solution of the equation. Find the
value of y when x equals 0.
6x - 2y = 14

Answers

6(0)-2y=14 , -2y=14 , y=-7

Answer:

y = - 7

Step-by-step explanation:

6x - 2y = 14

x = 0

6(0) - 2y = 14

- 2y = 14

- 2y ÷ - 2 = 14 ÷ - 2

y = - 7

Kevin has a part time job.He earns$8 an hour.He wants to buy a new bike it is $176 how may hours does he need to buy it

Answers

Answer: 22 hours

Step-by-step explanation:

Given

Kevin earns $8 per hour

The cost of bike is $176

For Kevin to buy that bike, he needs to work atleast

[tex]\Rightarrow \dfrac{176}{8}=22\ \text{hours}[/tex]

So, Kevin must work 22 hours to buy that bike.

can anyone tell me the solution?

Answers

Answer:

[tex]x=\frac{-12}{5} y+\frac{79}{5}[/tex]

Step-by-step explanation:

[tex]5(y-4)-3(y-2)+5(x-3)=10[/tex]

Add -12y to both sides:

[tex]5x+12y-69-12y=10-12y[/tex]

[tex]5x-69=-12y+10[/tex]

Add 69 to both sides:

[tex]5x-69+69=-12y+10+69[/tex]

[tex]5x=-12y+79[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5} =\frac{-12+79}{5}[/tex]

[tex]x=\frac{-12}{5} y + \frac{79}{5}[/tex]

A weather forecaster says the temperature will be about -5 degrees celcius "give or take" 10 degrees celcius. what is the greatest and least possible temperature?

Answers

Answer:

5 is the greatest and -15 is the least.

Step-by-step explanation:

The expression "give or take" means to add or to subtract on both sides. Since the estimated forecast is -5 degrees celcius. We can add 10 and subtract 10 to find the least and greatest possible temperature. -5-10=-15. -15 degrees celcius is the least possible temperature. -5+10=5. 5 degrees celcius is the greatest possible temperature.

Hope this helps!

Greatest:5, Least:-15

what is the solution to the equation below?
-3 + sqrt 2x - 1 =8​

Answers

Answer:

[tex]x=61[/tex]

Step-by-step explanation:

[tex]-3+\sqrt{2x-1} =8[/tex]

[tex]\sqrt{2x-1} -3=8[/tex]

Add 3 to both sides of the equation:

[tex]\sqrt{2x-1}-3+3=8+3[/tex]

[tex]\sqrt{2x-1}=11[/tex]

Solve the square root:

[tex]\sqrt{2x-1}=11[/tex]

[tex]2x-1=11^{2}[/tex]

[tex]2x-1=121[/tex]

[tex]2x-1+1=121+1[/tex] {add 1 to both sides}

[tex]2x=122[/tex]

[tex]x=122/2[/tex]

[tex]x=61[/tex]

hope this helps.......

After a 20% discount the phone cost is $70.40. What was the original price?

Answers

Answer:

$84.48

Step-by-step explanation:

Multiply the price before discount by 1.2 (100% + 20%) to get 70.40 x 1.2 = 80.48; $80.48

Hope this helps!

:)

Write an inequality that matches this statement: In the football game last week, the
Pittsburgh Steelers scored 45 points. The Miami Dolphins did not score as much as the
Steelers.

Answers

Answer:

y < 45

Step-by-step explanation:

Pittsburgh Steelers scored 45 points.

The Miami Dolphins will be represented by a variable y.

y scored less than 45 points.

y is less than 45

y < 45

need help! question on picture.

Answers

Answer:

its Positive or absolute ....

Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE​

Answers

Answer:

Step-by-step explanation:

Rate = 8% = 8 / 100 = 0.08

Time (t) = 6 years

principal (P ) = 9000

i = P *r * t

i = 9000 * 0.08 + 6

i = 9000 * 0.48

i = 4320

Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked 12.5 hours and earned $110. How much money does Jamal earn per hour? Step I: Write an equation you can use to solve the problem. Be sure to define the variable you use. NOTE: If you are paid hourly, you must multiply your hourly rate by the number of hours worked in a week to find the amount of money made. (4​

Answers

Answer:

$8

Step-by-step explanation:

12.5 hours earned him $110

then an hour will earn him less

12.5=$110

1=x then you cross multiply

12.5x=110

12.5x/12.5=110/12.5

x=8

therefore an hour will earn him $8

The gloom inside the house enveloped me as I stepped through the door. All around I could hear stealthy footsteps and ominous creaking. As an unearthly cry filled the room, I let out my own cry of dread.

What is the purpose of this passage?

to narrate
to persuade
to inform
to describe

Answers

Answer:

D. To narrate

Answer:

to narrate

Step-by-step explanation:

well since you are telling us what happened it is a narration

If 5.6 times 0.52= 2.912, then 0.56 times 520 =

Answers

Answer:

29120

Step-by-step explanation:

if 5.6 × 0.52 = 2912

then,

0.56 × 520 = 29120

He’s right answer is 29120

HELPPPPP AGAIN please

Answers

Answer:

x ≈ 13.5

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan34° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{20}[/tex] ( multiply both sides by 20 )

20 × tan34° = x , then

x ≈ 13.5 ( to the nearest tenth )

Suppose y varies directly with x, and y = 13 when x = 39. What direct variation equation relates x and y?

Answers

Answer:

y = 1/3 x

Step-by-step explanation:

y = kx

13 = k 39

k = 13/39

k = 1/3

y = 1/3 x

Which equation represents a hyperbola with a center at (0, 0), a vertex at (0, 60), and a focus at (0, −65)?

Answers

Answer:

d

Step-by-step explanation:

on edge

Answer:

D!!

Step-by-step explanation:

Got it right

!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!


AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!

Answers

Answer:

B) 376 units squared

Step-by-step explanation:

Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)

Btw saw your other one got deleted •_• *sigh*

Find the area and perimeter of the figure on the coordinate system below.
If anyone could help please do.

Answers

Answer:

P= 2L+2W+2H

P=2(3)+2(3)+2(3)

=18ft

Test 645 for divisibility by 2, 3, 5, 9, and 10.

Answers

Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Step-by-step explanation:

HELP ME PLEASE WILL GIVE BRAINLIEST JUST HURRY GOT UNTIL TMRW AND ITS LATE LOL
Okay
Lia and Sergio are both saving to buy a
kayak that costs $800. The table shows
Lia'ssavings perweek. Sergio saves
$24 per week. Who will be able to buy
thekayak first? How long willit take?

Answers

Sergio will buy first! He is earning more than Lia per week, and it would take him about 34 weeks and he’d haves little money left over by that time :)

Answer:

Sergio will buy first

It will take 34 weeks for Sergio

and 45 weeks for Lia

Step-by-step explanation:

Given Info: Per week Sergio Saves $24

How:

divide $72 by 4 weeks to find how much Lia is earning per 1 week.

72/4= 18

So Lia is saving 18$ per week while Sergio saves $24 per week

24>18

Sergio will save more per week so he will get it first.

It will take 34 weeks for Sergio

and 45 weeks for Lia

what's the difference between 7/10 and 4/15

Answers

Answer:

Difference is the answer to a subtraction problem.  If you are on here, you can probably use a calculator.  If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.

Step-by-step explanation:

Answer:

13/30

Step-by-step explanation:

7/10 - 4/15

Get a common denominator of 30

7/10 *3/3 = 21/30

4/15 *2/2 = 8/30

21/30 -8/30

13/30

write one eighth as a decimal

Answers

Answer:

0.125

Step-by-step explanation

one eighth = 1/8

Divide the numerator by denominator and the answer is 0.125

The answer is .125
It is half of .25 which is 1/4

SOMEONE PLEASE HELP QUICKLY I WILL GIVE BRAINLIEST TO THE QUICKEST ANSWER

A two-digit locker combination is made up of two non-zero digits. Digits in
a combination are not repeated and range from 3 through 8.
Event A = choosing an odd number for the first digit
Event B = choosing an odd number for the second digit
If a combination is chosen at random, with each possible locker
combination being equally likely, what is P(A and B) expressed in simplest
form?

Answers

Answer:

1/6

Step-by-step explanation:

a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec​

Answers

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

PLEASE HELP!!!! i need this done tonight and i dont know how to do it
​

Answers

Answer:

x=-2/3

Step-by-step explanation:

So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.

4x+-9x=-5x

Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:

2/3+7/2-5/6=-5x

A quick trick for adding and subtract fractions is to cross multiply.

2/3+7/2

Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.

3*2=6 (our denominator)

3*7=21

21/6

2*2=4/6

21/6+4/6=

25/6

Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.

Now, all we're left with is:

20/6=-5x

We can multiply 6 on both sides to isolate the 20.

20=-30x

Divide -30 on both sides!

x=-2/3

Hope this helps!

Alicia wants to bake a cake with ⁹/10 grams of flour.However,she only has ⅓ grams of flour she needs.How much does she have?

Answers

Answer:

We know that:

She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)

She only has 1/3 of the amount she needs.

How much flour does she have?

Well, she needs 9/10 grams, and she has one-third of that.

Then she has (1/3) times (9/10) grams, this is:

F = (1/3)*(9/10) grams

F = (1*9)/(3*10) grams

F = 9/30 grams

That is the amount of flour that she has.

holaaandaaa cuanto es 22+22

Answers

Step-by-step explanation:

22+22=44

Es una pregunta fácil, incluso un niño pequeño puede responder a esto.

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