the question is below:​

The Question Is Below:

Answers

Answer 1

Answer:

x = 19.5, RQS=43

Step-by-step explanation:

It is important to note that RQS and TQS are supplementary, meaning their angles will add up to 180. Knowing this, we can create and solve the equation to find x..

(2x+4) + (6x+20) = 180

8x + 24 = 180

8x = 156

x = 19.5

Now that we know the value of x, we can substitute it into the equation for RQS, 2x+4.

2(19.5)+4

39+4

43

Hope this helped!

Answer 2

Answer:

[tex]x=19.5^o[/tex]

[tex]\angle RQS=43^o[/tex]

Step-by-step explanation:

Notice that the addition of these two angles give you and angle of [tex]180^o[/tex], therefore we can write the following equation to represent such addition:

[tex](2x+4)^o + (6x+20)^o=180^o\\2x+6x+4^o+20^o=180^o\\8\,x+24^o=180^o\\8\,x=180^o-24^o\\8\,x=156^o\\x=156^o/8\\x=19.5^o[/tex]

Therefore, the value of the angle RQS is:

[tex]\angle RQS=(2\,x+4)^o=(2\,*\,19.5^o)+4^o=43^o[/tex]


Related Questions

Solve √108÷√125+√75 step by step

Answers

Answer:

Step-by-step explanation:

√108 ÷ √125 + √75

= 6√3 ÷ 5√5 + 5√3

= 11√3 / 5√5

hope this helps

plz mark as brainliest!!!!!!!

Solve x≤0 or x≥−4 and write the solution in interval notation.

Answers

Answer:

-4 ≤ x ≤ 0

Step-by-step explanation:

Given

x ≤ 0 or x ≥ -4

Required

Write using Interval notation

x ≤ 0 or x ≥ -4

This can be rewritten as

x ≤ 0 or -4 ≤ x

Reorder the above inequality to give:

-4 ≤ x or x ≤ 0

The above inequality can then be combined to give

-4 ≤ x ≤ 0

Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0

For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).

Answers

Answer:

[see below]

Step-by-step explanation:

Replace 'x' with the given value and evaluate.

For f(0):

[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]

For f(1/2):

[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]

For f(-2):

[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]

Hope this helps.

(2x-) + (1/2xy-10) x=4 and y=7

Answers

Answer:

0

Step-by-step explanation:

[2(4)-12]+[1/2(4)(7)-10]

(8-12)+(2(7)-10)

-4+14-10

0

Could you answer this

Answers

The question is already answered, what are you trying to ask for?

the product of nine and the difference between a number and five

5-9x
9(x-5)
9(5-x)
9x-5​

Answers

Answer:

9(x-5)

Step-by-step explanation:

Product of 9 = Multiply by 9

Difference = Subtract

Number = x

Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).

What is an Algebraic Equation?

An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.

Let variable x represent the number

Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).

Learn more about algebraic expression on:

https://brainly.com/question/2164351

- On an arcade game, Connor got the 100-point bonus 5 times and the 150-point penalty 3 times. If he started with 200 points, how many points does he have now? Explain how you found your answer.​

Answers

Answer: 1,150

Step-by-step explanation:

100 x 5 = 500

150 x 3 = 450

500 + 450 + 200

Connor has 1,150 points

Please help fast!, i'd really like the correct answers- :'O

Answers

Answer:  2/5

Step-by-step explanation:

[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5

Answer:

−2/5 + 4/5= 2/5

2/5

I'd love brainliest btw (❁´◡`❁)

will mark brainliest, 60 points

Answers

Answer:

21 C

22 B

23 169

Step-by-step explanation:

21 3m mean 3 times a certain number

22 the negative make the 4 go negative and the -5 positive

23 i did 5^2-4^2= 9

then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2

then 13 x 13 = 169

Of the 80 trees planted, 2 out of 5 survived the winter. How many trees died during the winter?

Answers

Answer:

32

Step-by-step explanation:

2/5x80

16x2

32

Hope this helps

Answer:

48 died

Step-by-step explanation:

2 out of 5 survived that means 5-2 = 3

3 out of 5 died

Multiply that fraction that died by the total number

3/5 * 80

48

Write an equation of the line below.

Answers

Answer: y=(-1/4)x

Step-by-step explanation:

slope-intercept form: y=ax+b

--------------------------------------------

#1 Find the slope

- Use rise/run: -(2/8)=-1/4

-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4

#2 Find the y-intercept

- Given the point (0,0), the y-intercept is already shown which is 0

------------------------------------------

a=-1/4

b=0

y=(-1/4)x

Given the following expression, identify the coefficient of the 2nd term

-6n^2+5n+3


A. -6

B. 2

C. 5

D. 3

Answers

Answer:

C. 5

Step-by-step explanation:

The "second term" is basically just the second coefficient/variable pair. The first one is -6n and the second one is 5n. The coefficient is the number attached to the variable, and in 5n, 5 is the coefficient.  

Li-Hua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why?
a) 4 inches
b) 6 inches
c) 13 inches
d) 16 inches

Answers

Answer:

16 inches

Step-by-step explanation:

in a triangle, the sum of any two sides must be greater than the third side

A recipe for chocolate chip cookies calls for 1 1/4 cups of flour. If you are making 2 2/3 recipes, how many cups of flour are needed?
(Simplify your answer. Type a whole number, reaction, or mixed number.)

Answers

Answer:

2 2/3 cups of flour

Step-by-step explanation:

To answer this question you need to multiply 1 1/4 by 2 2/3

To multiply first make each mixed number an improper fraction

This means multiplying the whole number by the denominator, then adding the numerator

For example 1 1/4 would become 5/4 because 4 x 1 = 4 and 4 + 1 = 5, & 2 2/3 would be 8/3

Now multiply the numerator and denominator (5/4 x 8/3)

30/12 simplified to 8/3 (2 2/3)

(–6x2 – 3x – 1) - (x + 8)

Answers

Answer:

-6x^2-4x-9

Step-by-step explanation:

(–6x^2 – 3x – 1) - (x + 8)

Distribute the minus sign

–6x^2 – 3x – 1 - x - 8

Combine like terms

-6x^2-4x-9

express1470 and 7056 as a product of prime factors hence eveluate leaving the answer in prime factors form

Answers

Answer:

Step-by-step explanation:

the prime factors of 1470= 2 x 3 x 5 x 7 x 7

also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

hence of

1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

required answer pls hit the stars and brain-list it

an empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.

Answers

Answer:

Since I can't draw it I'll give you the answer. 2,000 g.

Step-by-step explanation:

A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.

A set of values is shown belovi
12.7, 22, 23.5, 24, 11, 22
What is the mean absolute deviation of the set of values?
A o
B 3.96
C 4.9
D 19.2

Answers

Answer:

sorry yall i can help u

Step-by-step explanation:

A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle. ​

Answers

Answer:

Arectangle=27.68cm (approximately)

Step-by-step explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

Which of the following statments is true regarding the solutions to the quadratic equation 5x^2 +6x+2=0? See picture

Answers

Answer:

The quadratic equation has two complex solutions.

Step-by-step explanation:

5x² + 6x + 2 = 0

To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:

5x² + 6x + 2 = 0

ax² + bx + c = 0

Comparing the above equation, we can obtain:

a = 5

b = 6

c = 2

Discriminant (D) =?

D = b² – 4ac

D = 6² – (4 × 5 × 2)

D = 36 – 40

D = – 4

Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).

Latoya rolled a number cube 500 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths

Answers

Answer:

a) experimental: 164/500 = 41/125, which is 0.328

b) theoretical: 2/6 = 1/3, which is 0.333333....

c) the first answer, small difference

Step-by-step explanation:

3.6399; thousandths round it ​

Answers

Answer:

3.6399 = 3.640

Step-by-step explanation:

[tex]3.6399\\1\:2\:3[/tex]

Rounding to nearest thousandth means rounding to 3 decimal place

(0 to 4) =round down

(5 to 9)= round up

BRAINLIEST AND HELLA POINTS Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Hey there!

4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.

4a^2 - 20a +25

(2a)^2 - 20a + (-5)^2

(2a - 5)^2

(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.

Let me know if this helps :)

Answer:

Step-by-step explanation:

Part A

[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]

does that seems familiar?

it's because it's a perfect square that can be factorized as

[tex](2a-5)^2[/tex]

so the length of each side is

2a-5 both of them

Part B

[tex]9a^2-16b^2[/tex]

[tex](3a)^2-(4b)^2[/tex]

that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]

so

[tex](3a-4b)(3a+4b)[/tex]

so the lengths are

3a-4b and 3a+4b

Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
$254.76
$867.16
$632.00
$2,547.58

Answers

Answer:

Patricia's account balance after thirteen years is $867.16

Step-by-step explanation:

This problem is on simple interest calculation

we know that the formula for simple interest is given as

A= P(1+rt)

Given that

P= $612.40

r= 3.2%= 0.032

t= 13 years

Applying the formula we have

A= 612.40(1+0.032*13)

A= 612.40(1+0.416)

A= 612.40(1.416)

A= 867.1584

A= $867.16

2x + 5 = 25 solve for x

will give brainliest

Answers

Answer:

x = 10

Step-by-step explanation:

Subtract 5 from both sides:

2x + 5 = 25

2x = 20

Divide each side by 2

x = 10

Answer:

x=10

Step-by-step explanation:

25-5 = 20, so then you divide 20 by 2 to get 10

In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C






please help !!!!!! i will mark brainliest for the best answer

Answers

The total sum of all three angles in any triangle is 180 degrees.
Since A = 110 degrees, so B + C = 180 - 110 = 70 degrees.
Since AB = AC, we have B = C.
Therefore, B = C = 70/2 = 35 degrees.

Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?

Answers

Answer:

The probability is  [tex]P(X < 25) = 0.308[/tex]

Step-by-step explanation:

From the question we are told that

   The amount of time is uniform probability distribution between 21 and 38 minutes.

  Given that the amount of time is uniformly distributed then  the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

           [tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]

=>       [tex]P(X < 25) = 0.308[/tex]

     

Is the point (2,14) a solution of the equation y = 5x - 3?

Answers

Answer: No it is not

A preferred stock pays an annual dividend of $6.75 and sells for $58.60 a share. What is the rate of return on this security?

Answers

Answer:

11.52%

Step-by-step explanation:

Price (p0) = 58.6

Dividend (D1) = 6.75

P0= D1/ke

58.6 = 6.75/ke

ke = 6.75/58.6

ke = 0.1152 or 11.52%

Rate of return (ke) = 11.52%

f (x) = 2(x)2 +59/(x+2)

Answers

The correct answer is X= -31.5
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