Help ASAP!! I have to turn this in soon

Answer:

Angle PSQ is 61°

Step-by-step explanation:

In the triangle ΔPQR, we have;

m∠QPS = 65°

m∠PRQ = 43°

Line PSR is a straight line

m∠PQS : m∠SQR = 3:1

Therefore;

∠PQR = 180° - (∠QPS + ∠PRQ), by the angle sum theorem of a triangle

∴ ∠PQR = 180° - (65° + 43°) = 72°

∠PQR = 72°

∠PQR = m∠PQS + m∠SQR by angle addition postulate

m∠PQS : m∠SQR = 3:1

∴ m∠PQS = 3 × m∠SQR

∴ ∠PQR = m∠PQS + m∠SQR = 3 × m∠SQR + m∠SQR = 4 × m∠SQR

∠PQR = 4 × m∠SQR

∴ 4 × m∠SQR = ∠PQR = 72°

m∠SQR = 72°/4 = 18°

m∠PQS = 3 × m∠SQR = 3 × 18° = 54°

m∠PQS = 54°

∠PSQ = 180° - (∠QPS + ∠PQS) by the angle sum theorem

∴ ∠PSQ = 180° - (65° + 54°) = 61°

Angle ∠PSQ = 61°.

Answer:

one solution

Step-by-step explanation:

-2x - 4 = x - 5

-3x - 4 = -5

-3x = -1

x = 1/3

y = 1/3 - 5

y = 1/3 - 15/3

y = -14/3

(1/3, -14/3)

Answer:

1: 1/5

3: 0.1875

5: 0.5333

Step-by-step explanation:

I used a calculator.

Hope this helps :)

Answer:

1. 1 1/12

2. 3/16

3. 8/15

Step-by-step explanation:

Answer:

9-3=6

Or

6+3=9

Hope this helps!

Answer:

1.45%+4.2%= 5.65%

100%->650

5.65%-> 36.725

650- 36.725 - 10 = 603.275

~ 603. 27

hence answer is b

Correct Answer: $603.27

Answer:

-2

Step-by-step explanation:

(−(3−1))(3−2)

=−2(3−2)

=(−2)(1)

=−2

Answer:

Airplane rides (3/5 ) and Bumper cars(7/12)

Step-by-step explanation:

The airplane rides is 3/5 full the Ferris wheel is 3/8 full the bumper cars are 7/12 full

what fraction of these rides are more than a half

Half = 1/2 = 0.5

Hence, we convert the fractions to decimals

The airplane rides is 3/5 full

= 3/5 = 0.6

The Ferris wheels is 3/8 full

= 3/8 = 0.375

The bumper cars are 7/12 full

= 7/12 = 0.583

The fraction of these rides that are more than a half are:

Airplane rides (3/5 ) and Bumper cars (7/12)

Answer:

10.7a−8.1b

I hope I helped you!

Answer:

B. and A.

Step-by-step explanation:

Also now I want Chick-Fil-A

Answer: 3(x-3)/4-1/2=2/3  

Step-by-step explanation:

The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...

4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12

Answer:

12

Step-by-step explanation:

got it right on my quiz

Answer:

59.04°

Step-by-step explanation:

Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise's eye height is 4.5 feet.

We solve using the Trigonometric function of Tangent

tan x = Opposite/ Adjacent

tan x= 50 ft/30ft

x = arc tan (50 ft/30 ft)

x = 59.036243468°

Approximately = 59.04°

Answer:

Step-by-step explanation:

6(2x+ 10) = x - 61

12x + 60 = x - 61

11x + 60 = -61

11x = -121

x = -11

6y= -11 - 61

6y = -72

y = -12

(-11, -12)

y=2x+10

Swap sides so that all variable terms are on the left hand side.

2x+10=y

Subtract 10 from both sides.

2x=y−10

Divide both sides by 2.

2

2x

​  

=  

2

y−10

​  

Dividing by 2 undoes the multiplication by 2.

x=  

2

y−10

​  

Divide y−10 by 2.

x=  

2

y

​  

−5

SOLVE FOR Y

y=2(x+5)  

6y=x−61

Swap sides so that all variable terms are on the left hand side.

x−61=6y

Add 61 to both sides.

x=6y+61

SOLVE FOR Y

y=  

6

x−61

​  

Answer:

C

Step-by-step explanation:

good job you had it right

Answer:

C. 1.3

Step-by-step explanation:

1/3= 0.33

0.33+0.33+0.33+0.33= 1.3

Answer:

2nd answer choice No, 6/2 does not equal 2/24 :)

Step-by-step explanation:

6/2=3 while 24/10=2.4

Another way you could think about it:

6*2=12

2+2=4

6*3=18

4+2=6

6*4=24

6+2=8

So 24 ounces of the shake would only be 8 grams of protein.

Answer:

The answer is C

Step-by-step explanation:

Area of a parallelogram= bh

b- base

h- height

y in your problem would be the base and h would be the height

Answer:

1227 is correct ................................................

Step-by-step explanation:

Answer:

Is 6 part of the equation?

Answer: equation y = 1/2 x -4

Step-by-step explanation:

Since u have the slope just keep working with it 1 down 2 left and u will arrive at the y intercept

Answer:

104.7664068

Step-by-step explanation:

Answer: The answer is ACTUALLY C

Step-by-step explanation:

REMEMBER: The radius is always half of the diameter.

So the question is asking us what is the radius of a garden with a circumference of 28. In order to find HALF of that you would need to divide 28 so the answer is ( C ) not d...

SOLID PROOF:  

Answer:

8m+-9n

Step-by-step explanation:

Answer:

$ 101

It is right

Answer:

(-1,2)

Step-by-step explanation:

Answer:

a) aₙ = n+5 → 6,7,8,9,10....

b) aₙ = 5n  → 5,10,15,20,25...

c) aₙ = 3n+5 → 8,11,14,17,20

d) aₙ = 5n+3 → 8,13,18,23,28

Step-by-step explanation:

Explanation

Given [tex]n^{th}[/tex] term of the sequence

aₙ = n+5

Put n =1

a₁ = 1+5 =6

put n =2

a₂ = 2+5 =7

Put n=3

a₃ = 3+5 =8

and so on

The sequence  6,7,8,9,10....

b)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n

Put n=1 ⇒ a₁ = 5

put n=2 ⇒ a₂ = 10

and so on

5,10,15,20,25..

c)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5

put n=1 ⇒   a₁ =8

Put n=2  ⇒ a₂ =11

Put n=3  ⇒ a₃ = 14

and so on

The sequence  8 , 11, 14 , 17 , 20 ..

d)

Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3

Put n=1 ⇒ a₁ = 8

Put n=2⇒ a₂ = 13

Put n=3 ⇒a₃ = 18

and so on

The sequence 8,13,18, 23..

Answer:

the blank= 12.82

Step-by-step explanation:

Answer:

12.82

Step-by-step explanation:

x = blank

x / (-2) = -6.41

multiply both sides by -2

x = 12.82

Answer:

A 100+35m or 100+35xM (M for Months B. so you do 100+35x4= 240

Step-by-step explanation:

do 35x4 first and you get 140 and then add 100 so thats equal to 240 They you go Hope that helps

Answer:

part a. y=35x+100

part b. $140

Step-by-step explanation:

in the problem, it says 35 dollars every month making 35 the unknown

and for how much you will be spending after 4 months that would be 140 dollars

please let me know if this was wrong

hope this helps :) have a nice day !!