PLEASE HELP. WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. As shown in the diagram, the lines through points P and Q, and through points R and S are parallel. A transversal intersects the parallel lines at the point P and S, respectively, such that ⦣QPS=(2k+89)° and ⦣PSR=(3k+61)°.
Find the measure of ⦣QPS and ⦣PSR in degrees. THANK YOU VERY MUCH AND GOD BLESS.....

PLEASE HELP. WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. As

Answers

Answer 1

9514 1404 393

Answer:

  ∠QPS = 101°

  ∠PSR = 79°

Step-by-step explanation:

The marked angles are called "same-side interior angles" or "consecutive interior angles". By either name, they are supplementary.

  (2k +89) +(3k +61) = 180

  5k +150 = 180 . . . . . . . . . collect terms

  5k = 30 . . . . . . . . . subtract 150

  k = 6 . . . . . . . divide by 5

Then the angles are ...

  ∠QPS = (2·6 +89)° = 101°

  ∠PSR = (3·6 +61)° = 79°

Answer 2

Answer:

∠QPS = 2 x 6 + 89 =101°

∠PSR = 3 x 6 + 61 =79°

Step-by-step explanation:

∠QPS and ∠PSR are consecutive interior angles, they are supplementary

(2k+89) + (3k+61) = 180

5k + 150 = 180

5k = 180-150 = 30

k = 6

∠QPS = 2 x 6 + 89 =101

∠PSR = 3 x 6 + 61 =79


Related Questions

The area of a rhombus is 16 cm 2 . If the length of one diagonal is 4 cm, find the
length of the other diagonal.

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Answer: The length of the other diagonal is 8 cm.

Step-by-step explanation:

Area of rhombus = [tex]\frac{pq}{2}[/tex]

[tex]\frac{4q}{2} =16\\[/tex]

[tex]4q = 32\\q = 8\\[/tex]

The length of the other diagonal is 8 cm.


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Answer:

i think its a but im not sure and i dont know how to explain it

Do the ratios 3:7, and 12:21 form a proportion?
yes
no

Answers

Answer:

no

Step-by-step explanation:

3:7 *4=12:28

3:7*3=9:21

They both can not equal 12:21

Yes, the given ratios 3:7 and 12:21 are in proportion.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

The given ratios are 3:7 and 12:21.

Here, the proportion is 3:7::12:21

The ratios to in proportions, product of means must be equal to product of extremes.

3×21=7×12

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21=21

Yes, the given ratios are in proportion.

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https://brainly.com/question/7096655.

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I need the answer and how to solve this

Answers

Answer:

50

Step-by-step explanation:

Since 140° is on the outside, the angle next to it would be 40°.

Also a triangle = 180°

40° + 90° = 130°

180° - 130° = 50°

Thus meaning x = 50°

Answer:

x = 50°

Step-by-step explanation:

- the angle at the top is shown as a right angle so it is 90°

-the 140° angle and the angle next to it are 180° together so let's name the other angle z

z+140=180

z=180-140=40°

- a triangle's angles in total have 180°

x+y+z= 180°

x+90°+40°=180°

x+130 =180

x= 180-130 = 50°

vous
2v
Next
Probability of Compound Events: Mastery Test
Submit Test
2
Select the correct answer.
A six-sided fair dle and an eight-sided falr die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?
O A 1/3
O B.
OD.
10) los via
О Е.
Reset
Next

Answers

Answer:

I would say A because 6:3 can only equal 1/3.

Step-by-step explanation:

It would help if you formatted a bit better though. As the choices are not clear. ^^

The probability of getting numbers whose sum is a multiple of three is,

⇒ 1 / 3

Since, The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, We have;

There are 48 possible outcomes in this situation, and of those outcomes, the ones whose sums are a multiple of three are;

12, 21, 15, 51, 24, 42, 33, 18, 27, 36, 63, 45, 54, 48, 57, and 66.

So, that is 16 out of 48 possibilities,

⇒ 16/48,

⇒ 1/3.

Thus, The probability of getting numbers whose sum is a multiple of three is,

⇒ 1 / 3

Learn more about the probability visit:

https://brainly.com/question/13604758

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Answers

18/20 = 90/100 = 90%

90%

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Answer:

90°

Step-by-step explanation:

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Answers

Answer:

pH = 8

Step-by-step explanation:

Formular is given as;

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A)baking soda:

[H+] = 10^-8

Upon inserting it into the formular;

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Hope this helped have an amazing day/month/year!

3. Problema 2: Suponga que un fabricante de radios tiene la función de costo total C (x) = 43x + 1850 dólares y la función de ingreso R (x) = 80x dólares. Donde "x" es el número de radios fabricados y vendidos. Halle:

Answers

Responder:

$ 11,137

Explicación paso a paso:

Como no se nos dice qué encontrar, también podemos encontrar el beneficio obtenido por la venta de 351 unidades de radio.

Dado

Función de costo C (x) = 43x + 1850

Función de ingresos R (x) = 80x

Obtener la función de ganancias

P (x) = R (x) - C (x)

P (x) = 80x - (43x + 1850)

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Answers

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Step-by-step explanation:

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Answers

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What the question is referring her by magnitude is units away from 0. 3.7 is 3.7 units away from 0, which is the same thing as the absolute value of 3.7. And since absolute value is always positive, C is already out. D is also out as the value doesn't change. B's reason contradicts the answer, so it is also wrong. This leaves A (3.7, because |3.7| = 3.7) as our answer.

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