Given: m∠PRS = 2x + 12
m∠SRT = 6x + 8
∠PRS and ∠SRT are a linear pair

Prove: m∠PRS = 52

-make sure to include statements and reasonings like it shows in the screenshot

Answer:

This is an obtuse scalene triangle with the length of E measuring around 749 cm.

<D = 54.754° ≈ 55°

<E = 114°

<F = 11.246° ≈ 11°

Side D = 670 cm

Side E = 749.46937 cm ≈ 749 cm

Side F = 160 cm

Explanation:

When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.

Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.

a / Sin (A) = b / Sin (B) = c / Sin (C)

[side 1]. [side 2]. [side 3].

↓ ↓ ↓

sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)

______________________________

670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).

Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.

It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc

B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac

and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab

capital A, B, and C are angles A, B, and C.

lowercase a, b, and c are sides a, b, and c.

Therefore c² = a² + b² − 2ab cos(C),

b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.

SOH CAH TOA.

Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.

Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749

Answer:749

Step-by-step explanation:

S.A.S law or Cosines

e=561704.33628= 749.469= 749

Answer:

x = 20

Step-by-step explanation:

Assuming you require the value of x

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

7x - 15 is an exterior angle of the triangle, thus

7x - 15 = x + 28 + 4x - 3 , that is

7x - 15 = 5x + 25 ( subtract 5x from both sides )

2x - 15 = 25 ( add 15 to both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer:

6.5%

Step-by-step explanation:

2,015/31,000 = .065

Answer:

The answer is D.

Step-by-step explanation:

Answer:

ANSWERS ARE B, C, AND D.

Step-by-step explanation:

I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.

ANSWERS ARE B, C, AND D.

Answer:

The answer is B,C, And D

Step-by-step explanation:

I just saw it on Khan and got it right.

Answer: 5

Step-by-step explanation:

Answer: 5

Step-by-step explanation: hope this helps

Answer:

C is correct

Step-by-step explanation:

3+6=9

2 sides on a triangle must be greater than the other side

Answer:

The mother is wrong

Step-by-step explanation:

What we do here will be to add the fractions of the cakes that we have

Mathematically, that will be;

14/12 + 5/6 = 24/12 = 2

This means that the mother is wrong and the cakes can actually be made into 2

Answer: 47 degrees

Step-by-step explanation:

The measure of an angle BOC from the given figure is 47°.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Given that, m∠AOC is a straight angle, m∠BOC=6x+29° and m∠AOB=3x+124°.

We know that, a straight angle measures 180°.

Now, m∠BOC+m∠AOB=m∠AOC

6x+29°+3x+124°=180°

9x+153°=180°

9x=27°

x=3°

So, m∠BOC=6x+29°

=6×3+29°

= 47°

Therefore, the measure of angle BOC is 47°.

To learn more about an angle visit:

https://brainly.com/question/28451077.

#SPJ2

Answer:

Step-by-step explanation:

Step one:

given data

perimeter= 510 yards

let the width be x, width=x

length= (4x-5)-----quadruple mean 4 times

Step two:

the expression for perimeter is

P=2L+2W

510=2(4x-5)+2x

510=8x-10+2x

510+10=8x+2x

520=10x

divide both sides by 10

x=520/10

x=52

the width is 52 yards

the lenght is  (4x-5)

L=4(52)-5

L=208-5

L=203 yards

The table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

where,

k = constant of proportionality

A. 'x' is 1 2 3. 'y' is -3,-6,-9

y = k × x

-3 = k × 1

- 3 = k

k = -3

B. 'x' is 1, 2, 3. 'y' is -1, -2, 0

y = k × x

-1 = k × 1

-1 = k

k = -1

C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

y = k × x

-3 = k × 1

-3 = k

k = -3

D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

-3 = k × 1

-3 = k

k = -3

or

y = k × x

-3/2 = k × 2

-3/ 2 = 2k

k = -3/2 ÷ 2

k = -3/2 × 1/2

k = -3

Therefore, the table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

Read more:

https://brainly.com/question/13441754

Answer:

D

Step-by-step explanation:

I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.

Answer:

The sum of all four integers is 60.

Step-by-step explanation:

Let the integers be x, x + 2, x + 4, and x + 6.

x + x + 6 = 30

2x = 24

x = 12

So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60

Answer:

________________________

Answer:

23

Step-by-step explanation:

15% of 20 = 3  then add the 3 to the 20 to get 23

23Answer:

Step-by-step explanation:

15/100*20 = 3

20+3 = 23

Answer:

Quotient/Answer = 402

Hence the first digit is 4 and it's place value = hundreds

Step-by-step explanation:

Quotient = Dividend ÷ Divisor

Dividend = 3216

Divisor = 8

Quotient = 3216 ÷ 8

= 402

We are asked to find the place value of the first digit

Hence the first digit is 4 and it's place value = hundreds

Answer:

the answer is -120

Step-by-step explanation:

trust :)

Answer:

Its A

Step-by-step explanation:

Trust me

Answer:

a

Step-by-step explanation:

Answer:

Maybe c

Step-by-step explanation:

Answer

I know how to solve it just don't know how to explain how you came up with the equation

Step-by-step explanation:

To solve 9y+7=2y+98   you add 9y+2y and you get 11y  and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11  y= 9.54

Answer:

C

Step-by-step explanation:

Answer:

C) A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.

Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.

Simplified version of answer d: 40 miles/ 20 gallon of gasoline  (we know it is wrong because it doesn't match with the unit rate.)

Hope this helped you : )

Answer:

the answer is A. $32.23

Step-by-step explanation:

Answer:

$32.00

Step-by-step explanation:

To find the sales tax always multiply the sales tax to to the cost of you item.

Being your sales tax is 4%  you will Multiply 30.99 x .04 (not just 4)

30.99 x .04 = 1.2396  ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax)  Now add that to your cost of the shoes

$30.99 + $1.24 = $32,23

For future :  if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .

Answer:

g ∈ ∅

Step-by-step explanation:

Expand the expression

30 g + 12 = 30  

Cancel out the 30g on both sides

12 = 0

Decide whether the statement is true or false

g ∈ ∅

Answer:

$6.18 per hour

Step-by-step explanation:

You can get this number by multiplying 0.03 by 6

Answer:

[tex]S : T = 5 : 8[/tex]

Step-by-step explanation:

Represent the first half with F and the second with S

We have that:

[tex]F = 9[/tex] --- From the first statement

[tex]S = 2F - 3[/tex] --- From the next statement

Required

Determine the ratio of S to the total point

First, we need to determine the value of S

Substitute 9 for F in [tex]S = 2F - 3[/tex]

[tex]S = 2 * 9 - 3[/tex]

[tex]S = 18 - 3[/tex]

[tex]S = 15[/tex]

Next, we determine the total points

[tex]Total = F + S[/tex]

[tex]Total = 9 + 15[/tex]

[tex]Total = 24[/tex]

The ratio of S to total is: (Represent total with T)

[tex]S : T = 15 : 24[/tex]

Divide both ration by 3

[tex]S : T = 15/3 : 24/3[/tex]

[tex]S : T = 5 : 8[/tex]

Hence, the ratio is 5 to 8

Answer:

f(m)=40x+100

Step-by-step explanation:

40 is your rate which is x and 100 is the initial fee which is y.

Answer:

3/4

Step-by-step explanation:

24-6=18--> role playing games

18/24=3/4

Answer: 3/4

Step-by-step explanation: