Which is the correct label of the parallel lines?

The shape PQRS is a parallelogram

The given parameters are:

[tex]\mathbf{\angle PQR = 106}[/tex]

[tex]\mathbf{\angle QSR = 49}[/tex]

[tex]\mathbf{\angle PRS = 35}[/tex]

(a) Find QRS

This is calculated as:

[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]

So, we have:

[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]

[tex]\mathbf{\angle QRS = 70}[/tex]

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]

So, we have:

[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]

[tex]\mathbf{\angle PQS = 53}[/tex]

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]

Where:

[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]

So, we have:

[tex]\mathbf{\angle RPS = 35}[/tex]

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]

Where:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]

So, we have:

[tex]\mathbf{\angle PSQ =53}[/tex]

Hence, the measure of angle PSQ is 53 degrees

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Answer:

1. £44.82

2. £99.78

3.not sure

4. not sure

Answer:

16777216

It took a lot of space on the calculator

Answer:

what are the choices so I could help

Answer:

see explanation

Step-by-step explanation:

∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]

Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.

Then

5x - 3 = 4 ( add 3 to both sides )

5x = 7 ( divide both sides by 5 )

x = [tex]\frac{7}{5}[/tex] = 1.4

and

2y + 6 = 4 ( subtract 6 from both sides )

2y = - 2 ( divide both sides by 2 )

y = - 1

Answer:

a= 2

Step-by-step explanation:

2 × 2 -10=6

4-10= 6

6=6

Answer:

Price of shirt=RM9.8

Step-by-step explanation:

Shirt=x Trouser=y

x+y=RM20

5x+y=RM59.20

y=20-x

5x+20-x=59.20

4x=39.20

x=9.8

y=20-9.8

y=10.2

Answer:

[tex] \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} [/tex]

I hope I helped you^_^

Answer:

c

Step-by-step explanation:

because all of the lines except for the last one is the same. so its aaaab

Answer:

6

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

Answer:

Step-by-step explanation:

Answer:

(0,-7) (2,0) (7,0) (7,2)

Step-by-step explanation:

Answer:

rdinates (4,5),(8,2) named point z

Step-by-step explanation:

Answer:

2110.08 meters

Step-by-step explanation:

find the circumference of the wheel

Divide 84 by 2 to find the radius.

84/2=42

C=2πr

C=2(3.14)(42)

C=263.76 cm

263.76*800=211008cm

Divide by 100 to convert to meters

211008/100=2110.08

2110.08 Meters

Hope this helps!

    (3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]

(3/5)n - (2/5)n = 10 -15       [simplify]

             (1/5)n =   -5           [multiply both sides by 5]

                    n = - 25

Answer:a I think although I’m really tired

Step-by-step explanation:

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

Answer:

Step-by-step explanation:

=-65*5

=-325

The value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given equation is,

( x + yi ) + ( 4 + 9i ) = 9 - 4i

The points are x= 5 and y = -13,

( x + yi ) + ( 4 + 9i ) = 9 - 4i

( 5 -13i ) + ( 4 + 9i ) = 9 - 4i

5 + 4 -13i+9i = 9-4i

9-4i = 9 - 4i

Therefore, the value of x is 5 and the value of y is -13 which satisfies the equation. The correct option is C.

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Answer:

h = 20

Step-by-step explanation:

540π = 1/3 . h . π . 9^2

get rid of π

540 = 1/3 . h . 9^2

multiply by 3 to get rid of 1/3

3 . 540 = h . 9^2

1620 = h . 81

divide by 81

1620/81 = h

20 = h

Hope that helps :)

Answer:

I think it’s 90% if u round up it should be 91%

Step-by-step explanation:

If it’s wrong I’m REALLY sorry

Answer:

47.619047619047

Step-by-step explanation:

63-33= 30

[tex] \frac{30}{63} \times 100 = 47.619047619047[/tex]

you are welcome

Answer:

frist parentheses then subtract

The solution of equation  2(2x+3)-2 = 52(2x+3)−2 = 5 is x = -29/20.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

The given equation:

2(2x+3)-2 = 52(2x+3)−2 = 5

Simplifying,

2(2x+3)-2 = 52(2x+3)−2 - 5

Using PEMDAS,

first, we solve the parentheses

4x+6 - 2 = 104x + 156 - 2 - 5

4x+4 = 104x + 149

104x - 4x = 4 - 149

100x = -145

x = -145/100

x = -29/20

Therefore, the value of x is  -29/20.

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Answer:

x=-11

Step-by-step explanation:

5x+2=4x-9

5x-4x=-9-2

x=-11

Answer:

-9/16 > -7/10

Step-by-step explanation:

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Answer:

b) 3 miles per hour

Step-by-step explanation:

If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.

6 ÷ 2 = 3.

Answer:

the value of Celsius temperature is 100

o

 when Fahrenheit temperature is 212

o

.

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.