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

Answer:

x=150

Step-by-step explanation:

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

x=150

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

Answer:

7

Step-by-step explanation:

Answer:

(-6,300)

Step-by-step explanation:

Answer:

(-6,300)

Step-by-step explanation:

(x,y)

then:

x = -6

y = 300

then:

(-6 , 300)

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:

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)

Answer:

Part of designing a set of experimental procedures is:

C. Identifying the controlled, manipulated, and responding variables

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

Answer:

it would be 5

Step-by-step explanation:

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

Answer:62

Step-by-step explanation:

62^2

Answer:

41

Step-by-step explanation:

Distance = √[(x1-X2)²+(y1-y2)²]

Sub the values in

and you would get the answer 41.

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

Answer:

8

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

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.

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

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

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

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

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

Step-by-step explanation:

S (2, -3)

T (2, -1)

U (1, 0)

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]

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

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

[tex]3n = 12[/tex]

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

[tex]n = 4[/tex]

Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11

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!

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

:)

Answer:

Congruent

Step-by-step explanation:

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

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