In the given figure, PQ=PR and QS is the bisector of angle PQR. If angle PQS=30°, find angle PSQ.

In The Given Figure, PQ=PR And QS Is The Bisector Of Angle PQR. If Angle PQS=30, Find Angle PSQ.

Answers

Answer 1

Answer:

90°

Step-by-step explanation:

PQ=PR ⇒

∠PQR = ∠PRQ

QS is the bisector of angle PQR ⇒

∠PQS= ∠RQS

If angle PQS=30°, find angle PSQ

∠PQS=30° ⇒

∠PQR = 2*∠PQS = 2*30° = 60°

As ∠PQR = 60°,

∠PRQ = 60° and ∠QPR = 60° as remaining angle

So,

∠PSQ = 180° - (∠QPR + ∠PQS) = 180° - 90° = 90°


Related Questions

Determine the distance between the point (-7,4) and (2,44)

Answers

Answer:

41

Step-by-step explanation:

Distance = √[(x1-X2)²+(y1-y2)²]

Sub the values in

and you would get the answer 41.

Five less than
twice a number is equal to one more
than the number, what is the number?

It’s on apex please help!!! I’ll give you likes

Answers

The formula would be 2x-5=x+1. After PEMDAS it would be x=6

Find the value of x, if x=3/4
1.2(x)+23=156
2.7(x)-45=383
what is the value of x​

Answers

Answer:

he actually looks like a bu to the back of your head and you have to stilud and I think your deadly weapon is a ps4 controller or an official at the lot

I hope this will help

somebody help i gotta headache ... and i just need someone elses opinion.

Answers

am sorry i forgot the first but the second is transformation and the third is rotation

1) corresponding

2) translation

3)rotation

Hope this helps a lil I'm not for sure tho

Convert this rational number
to its decimal form and round
to the nearest thousandth.
1/7

Answers

Answer:

0.143

Step-by-step explanation:

1) convert to decimal form: 0.142857

2) rounding to nearest thousandth (3rd decimal place)

3) number is higher than 5 so it rounds up to 0.143

Which must be true for two figures to be congruent?

Answers

Answer:

Congruent

Step-by-step explanation:

For the shapes to have the same size, and shape.

what is the value of the expression below when x=8? 9x-5

Answers

72-5=67 there is your answer

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

If x = 1 -√2, find the value of ( x -1/x)^3

Answers

Answer:

8

Step-by-step explanation:

(x-1/x)³((1-√2)-1/(1-√2))³ 8

. Rahul has 260 coins of Rs. 1, Rs.2 and Rs.5 altogether. The total value of the money is Rs.309. The number of Rs.2 coins is three times the number of Rs.5 coins. Find the number of coins of each type.

Answers

coin of 5 = 20 coins

coin of 2 = 60 coins

coin of 1 = 80 coins


let the number of coin 5 = Rs.x

so the number of coin 2 = 3x

the number of coin 1 = 160 - 4x

so the amount of rs.5 = 5x

the amount of rs.2 = 6x

a/q

5x + 6x + 160 - 4x = 300

7x = 300 - 160

7x = 140

x = 20

REPOST PLEASE HELP ME IVE BEEN WORKING FOREVER I CANT FAIL!!!

1. Bailey withdrew $135 from her checking account.
Part. If x represents the variable in the word problem above, explain what the variable should
represent

Part It: Write an algebraic expression to model the situation.

Part II: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based
on their length of employment. Write an algebraic expression that describes how much Bailey's
employer pays part-time workers. SHOW WORK ON EVERYTHING!!!!!

Answers

Answer:

Step-by-step explanation:

Part 1: x represents her bank account

Part2: 135-x=y

Part 3: I'm not sure how long she's worked there, but it would look like: 7.85x=y. X representing number of hours


[tex]6 \times x = - 24[/tex]
What is the missing number?​

Answers

The missing number is 4

Please solve for X get it done ASAP, please.

Answers

Answer:

x=150

Step-by-step explanation:

40+(x-20)+(x-10)+1/3x=360 add all like terms

x=150

150 is the answer :)))))

Use the fraction bar interactive to find the difference: One-third minus StartFraction 5 over 6 EndFraction

Answers

Answer:

-1/2

Step-by-step explanation:

Answer:

common denominator

6

1/3 - 5/6 difference

-1/2

Step-by-step explanation:

hope I wasn't to late

have a good day guys

:)

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 460 miles on 20 gallons of gas. What is the car's gas mileage?

Answers

Answer:

23

Step-by-step explanation:

because 460 divided by 20 is 23 so the car gets 23 mpg because 460 represents miles and 20 represents gallons of gas

The car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Gas mileage is the number of miles you can drive on a gallon of gasoline.

A test of a new car results in 460 miles on 20 gallons of gas.

Let x be the car's gas mileage.

The value of the x can be found as follows:

x = 460/20

x = 23

20 gallons of gas and 460 miles are represented by the numbers.

Thus, the car's gas mileage is 23 if the test of a new car results in 460 miles on 20 gallons of gas.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Solve the equation. -(7-4x)=9​

Answers

Answer:

x=4

Step-by-step explanation:

-(7-4x)=9

-7+4x=9

4x=16

x=4

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-(7-4x)=9[/tex]

Let's divide both sides by -1. This cancels out the negative on the left:

[tex]7-4x=-9[/tex]

Subtract 7 from both sides. The left cancels:

[tex]-4x=-16[/tex]

Divide both sides by -4. All the negatives will cancel:

[tex]x=4[/tex]

And we're done!

5(1-b)=8(b+2) solve for b

Answers

Step-by-step explanation:

Hey there!!

Here,

[tex]5(1 - b) = 8(b + 2)[/tex]

[tex] \: \: \: \: \: 5 - 5b = 8b + 16[/tex]

[tex] \: \: \: \: \: \: \: 8b + 5b = 5 - 16[/tex]

[tex] \: \: \: \: \: \: \: 13b = - 11[/tex]

[tex] \: \: \: \: \: \: \: b = \frac{ - 11}{13} [/tex]

Therefore the value of b is -11/13.

Hope it helps...

Step-by-step explanation:

first open up the brackets according to BODMAS to get

5-5b=8b+16

then collect like terms together and make sure to change the sighns eg - becomes +

5-16=8b+5b

you get

-11=13b

then divide both sides with 13 to get b

-11/13=b ( you can leave as a negative decimal according to the question)

The perimeter of a rectangular playing field is 280 feet. The length of the field is 20 feet more than the width. What are the dimensions of the playing field? (You need to find the length and the width.)

Answers

Answer:

L =80

w=60

Step-by-step explanation:

P =280

L =w +20

=>L +w=280 :2 =140

w+20+w=140

2w=140 - 20

2w =120

w=120 :2 =60

L=60 +20 =80

P =2L +2w

P =2 ×80 +2 ×60

P=160 +120

P=280

Answer:

L = 80    ,   w=60

Step-by-step explanation:

l= w+20

perimeter: l+w+l+w=280

Plug in the value of L in place of L

(w+20)+w+(w+20)+w=280

Combine Like terms

and then separate the variables and knowns by subracting 40 from both sides

4w+40=280

     -40   -40

Divide by 4 from both sides so (W) would be alone

4w=240

÷4     ÷4

You solved half the question now

               w = 60

Remember the L at the top

we now know the value of W

so

L=(60)+20

L=80

just to be sure

80+80+60+60=280

you are welcome

What is Equivalent?
Is it possible for two things to look different but be equal
to one another? Think about $10... is a $10 bill the only
way you can have $10? Give an example of money that
is equivalent to a $10 bill.

Answers

Answer:

Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.

Step-by-step explanation:

$10 = 2 * x

$10/2 = $5

x = $5

what is the distance between (7, -2) and (3,1) pls help fast

Answers

Answer:

it would be 5

Step-by-step explanation:

9 = -3 + n + 2n what does n equal ?

Answers

Step-by-step explanation:

9=-3+n+2n

9+3=n+2n

12=3n

n=12/3

n=4

[tex]9 = - 3 + n + 2n[/tex]

now let's flip this equation to make things easier

[tex] - 3 + n + 2n = 9[/tex]

now move -3 to the other sidewhen we move -3 to the other side it turns into positive 3

[tex]n + 2n = 9 + 3[/tex]

now add the values on both sidesn + 2n will be equal to 3n and 9 + 3 will be equal to 12

[tex]3n = 12[/tex]

now move 3 to the other sidethe multiplication sign that binded 3 and n together will change into division when moved to the other side

[tex]n = \frac{12}{3} [/tex]

when we divide 12 and 3 we will get 4

[tex]n = 4[/tex]

so final answer is 4

hope that helps !

What is the answer to this question?

Answers

Answer:

(-6,300)

Step-by-step explanation:

Answer:

(-6,300)

Step-by-step explanation:

(x,y)

then:

x = -6

y = 300

then:

(-6 , 300)

help!!!!!!!! im crying over this stuid question what is the answer

Answers

Step-by-step explanation:

S (2, -3)

T (2, -1)

U (1, 0)

Y=x2+x-6 for the first equation

Sara is 7 years older than Sushil. June is 4 years younger than Sushil. If the total of their ages is 87, how old is the eldest of them?

Answers

Answer:

76

Step-by-step explanation:

Answer:

We have:

a) Sushi+7=Sara

b) June=Suhi-4

c) Sushi+Sara+June=87

3 equations with 3 variables, we can solve it.

we can introduce in a) and b) in  c) and we get: Sushi+Sushi+7+ Sushi-4=87

3 sushi+3=87 which gives:

3 sushi= 87-3=84

sushi=84/3=28

Sara= sushi+7 (from b)= 35

June= sushi-4=24

We can check 24+35+28=87 All good

Step-by-step explanation:

Expand The Expression
5 (4a + 5b – 3)

Answers

Answer:

20a + 25b - 15

Step-by-step explanation:

Answer:

 I think is:    

5 ( 4a + 5b - 3 )

= 5 × 4a + 5 × 5b - 5 × 3

= 20a + 25b - 13

If m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure ∠1 = f.m∠7 = k.m∠13 = b.m∠3 = g.m∠8 = l.m∠14 = c.m∠4 = h.m∠9 = m.m∠15 = d.m∠5 = i.m∠10 = n.m∠16 = e.m∠6 = j.m∠11 = o.m∠17 =

Answers

Answer:

Step-by-step explanation:

1). Since, m∠2 + m∠1 = 180° [Supplementary angles]

   125° + m∠1 = 180°

   m∠1 = 180° - 125°

   m∠1 = 55°

2). Since ∠7 ≅ ∠12 [alternate interior angles]

   m∠7 = m∠12 = 37°

3). m∠3 = m∠18 = 102° [Alternate exterior angles]

4). m∠8 + m∠3 + m∠7 = 180°

    m∠8 + 102 + 37 = 180

    m∠8 = 41°

5). m∠14 = (m∠7 + m∠8) [Alternate angles]

    m∠14 = 37 + 41 = 78°

6). m∠4 = 180° - m∠3 [Linear pairs]

             = 180 - 102

             = 78°

7). m∠9 = m∠3 = 102° [Vertical angles]

8). m∠15 = m∠2 [Alternate exterior angles]

               = 125°

9). m∠5 = m∠15 [Corresponding angles]

             = 125°

10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]

     m∠10 = 180 - 125

               = 55°

10). m∠16 = m∠10 = 55° [Vertical angles]

11). m∠6 = m∠10 = 55° [Alternate interior angles]

12). m∠11 = m∠15 = 125°

13). m∠17 = m∠14 = 78° [Vertical angles]

The answers are given as follows

Given that

a║b

m∠2 = 125°

m∠12 = 37°

m∠18 = 102°

From the identity of supplementary angles

m∠1 + m∠2= 180°

So m∠1 = 180° - 125° = 55°

m∠7 =m∠12 = 37° (Interior opposite angles )

m∠3 = m∠18=102° (Alternate Exterior angles )

m∠8 = 180° - m∠3 -m∠7  = 180°- 139° = 41°

m∠14 = m∠7+ m∠8= 37° + 41° = 78° ( Alternate opposite angles)  

So m∠13 = 180° -78° = 102° (linear pair)

m∠4= 180° - m∠3  = 180° - 102° = 78°

m∠9 =180° - m∠4 = 180° - 78 = 102° (vertically opposite to m∠3)

m∠15 = m∠2 = 125° (Alternate exterior angles)

m∠5 =m∠15 = 125° (Corresponding Angles )

m∠10 =  180° -125° = 55°

m∠16 = m∠10 =55° ( Vertically Opposite Angles)

m∠6 = m∠10 =55°  (Alternate interior angles)

m∠11 = 180 ° -  m∠6° - m∠7° = 180° - 55° - 37° =  88°

m∠17 = 180° - m∠13 = 180° -102° = 78 °

For more information please refer to the link below

https://brainly.com/question/15685431

what is the square of 3844​

Answers

Answer:62

Step-by-step explanation:

62^2

Solve using the standard algorithm
1.03 +0.08

Answers

Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11

The number is between 0 and 9. It cannot be evenly divided by 2. It is more than five. What is the number?

Answers

Answer:

7

Step-by-step explanation:


Which option is part of designing a set of experimental procedures?
A. Looking for errors in the collected data
B. Developing a question about a phenomenon
C. Identifying the controlled, manipulated, and responding variables
D. Conducting the experiment

Answers

Answer:

Part of designing a set of experimental procedures is:

C. Identifying the controlled, manipulated, and responding variables

What is the value 4 x (-6.3)

Answers

Answer:

-252

Step-by-step explanation:

4 * -6.3

-252

Anytime you multiply a positive number to a negative number, it will always be negative.

Best of Luck!

Answer:

-252 is the correct answer to this question

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