If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?

If OQ And RT Are Parallel Lines And MZRSP = 55, What Is MZQPS?

Answers

Answer 1

Answer:

55 degrees

Step-by-step explanation:

Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.

So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.


Related Questions

What is 6x to the power of 3 multiplied by 4x to the power of 8

Answers

Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.

Find the slope of the line shown below.​

Answers

Hello! :)

The slope of this line is 0.

Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.

Here, we move 0 units up, so the rise is 0.

No matter what the run is, the slope is 0 anyway.

Hope it helps you!

If you have any questions, feel free to ask! (:

~An excited gal

[tex]SparklingFlower :)[/tex]

Answer:

its 0 sowe

Step-by-step explanation:

When can you write ratios as fractions?

Answers

Yes I ca-n YOU eritemul raționale as
Given a ratio of two integers, write it as a fraction
Given a ratio of two decimals, write it as a fraction
Given a ratio of two mixed numbers, write it as a fraction

-2x+9y=-41
-2x-5y=1

Process of elimination

Answers

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer

Answers

Answer:

parallel

Step-by-step explanation:

Answer:intersect

Step-by-step explanation:

If 24 people fit in 12 RVs,
How many people are in each RV?

Answers

Answer:

2 people per RV.

Step-by-step explanation:

24 / 12 = 2

Work out the shaded area of this shape.

Answers

Answer:

73

Step-by-step explanation:

So I finished the graph, But I need help making the table please help whoever answers correctly, I will mark brainliest 10. Cornett Cable charges $32.50 a month for basic cable television. Each preminium channel selected costs an additional $4.95 per month. b. Make a table to show the monthly cost for 0,1,2,3, and 4 premium channels. Then graph the ordered pairs​ this is the last thing then I'll stop Also, no links please

Answers

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).

Answers

Answer:

hope this helps :)

100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi

Answers

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

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What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.

Answers

To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE

The z-score with a confidence level of 95% is 1.96

Reasons:

The margin of error, MOE, is required when finding a sample mean of a

statistic, which specifies the range within which the true mean is located;

The margin of error is given by the formula;

[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]

Where:

σ = The standard deviation of the population

n = The sample size

[tex]z^*[/tex] = The z-value based on the applied confidence level.

Using the associated standard normal distribution table, by finding the

area between the z-score and the negative z-score, we have that 95% will

be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%

Therefore;

The z-score at 95% = 1.96

Learn more about z-score here:

https://brainly.com/question/6096474

The emotional atmoshere a reader sences in a poem or story is referred toas its

Answers

It would be mood. I hope this helps.

PLEASE HELP!!!! ASAP

Answers

Answer:

78/5

Step-by-step explanation:

1/5 5x + 12 = 18

[tex]\sf 4x-15=3[/tex]

Answers

[tex]\sf \longmapsto4x-15=3[/tex]

[tex]\sf \longmapsto4x = 3 + 15[/tex]

[tex]\sf \longmapsto4x = 18[/tex]

[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]

[tex]\sf \longmapsto x = 4.5[/tex]

Answer:

[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]

Step-by-step explanation:

[tex]4x-15=3[/tex]

[tex]4x-15+15=3+15[/tex] Add 15

[tex]4x=18[/tex]

[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4

[tex]x=\cfrac{9}{2}[/tex]

Solve each question with the quadratic formula
6a² + 10 = 0


I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)

Answers

Answer:

[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

Step-by-step explanation:

[tex]\sf 6a^2 + 10 = 0[/tex]

We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]

[tex]\sf 6a^2 + 10 = 0[/tex]

Substitute 6: a, 0: b, 10: c

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]

→ Square 0

→ Multiply -4 * 6= -24

→ Multiply -24 * 10 = -240

[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]

→ Take the square root of -240:

Multiply 2 * 6= 12

Now, Separate solutions:

[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]

Now, Separate solutions:

First, solve the equation when ± is plus:

[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]

___

Now, solve it when ± is minus:

[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]

__________________________________________

[tex]\sf\longmapsto 6a^2+10=0[/tex]

a=6b=0c=10

[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)

[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]

[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]

[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]

[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]

What is i?

i stands for iota.

[tex]\sf\longmapsto i=\sqrt{-1}[/tex]

Pls answer all 4 questions AND HURRY!!!!

Answers

Answer:

5pts

Step-by-step explanation:

Foster is centering a photo that is 9 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number. / pls help quick

Answers

Answer:

should be 1/4 inches away from each side

Step-by-step explanation:

all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.

since it needs to be centered, divide that by two for each side.

and 1/2 ÷ 2 = 1/4

so I got 1/4 inches on each side.

a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring

Answers

Answer:

The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.

Answer:

1400 pounds

Step-by-step explanation:

the ring is now worth 60% of its original price

the percentage in decimal is equal: 60% = 0.6

[tex]\frac{840}{0.6} =1400[/tex]

Hope this helps

what is the mass of 18 crayons

Answers

Answer:144 grams

Step-by-step explanation:normal crayons usually weigh 9g

When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence?

Answers

Answer:

velocity

Step-by-step explanation:

The velocity of the object is continually changing.  This velocity is the slope of the tangent line to the curve at a given point on the curve.

The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.

What is a circular motion

Circular motion involves not only changes in the object's orientation or direction but also changes in its velocity.

Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.

This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.

Learn more about Velocity

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3w-4z=8
2w+3z= -6
What is w and z for these two equations?

Answers

The w is 0 and z is -2.

Miko wants to build a toy
box for her sister. It is to be 2 feet high,
and the width is to be 3 feet less than its
length. If it needs to hold a volume of
80 cubic feet, find the length and width
of the box.

Answers

Answer:

kk

Step-by-step explanation:

The answer is 13 because 2 times 3 equals 6 and 80 divided by 6 equals 13

Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:

2 + 0.25x

What does the constant term of the expression represent? (1 point)
The late fee for the book
The fixed rental for the book
The number of books borrowed
The number of days the book was overdue

Answers

Answer:

it's "2+6556_789*4236+8765/987"

Step-by-step explanation:

what is 10/13 as a decimal rounded to the nearest hundredth

Answers

Answer:

.770

Step-by-step explanation:

Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant II or Quadrant IV
Quadrant I or Quadrant II
Quadrant III or Quadrant IV
Quadrant I or Quadrant IV

Answers

Answer:

The best and most correct answer among the choices provided by your question is the fourth choice or letter D.

Nonzero abscissa, negative ordinate is located in Quadrant III or Quadrant IV.  

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

please help me
the denominator only

Answers

Answer:

6/51/33/1013/549/201/15

Step-by-step explanation:

You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.

1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:

12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore  the answer is 6/5

2. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12

7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/3

3. This is fairly straight-forward the denominators already match so just subtract the numerators

6/10-3/10= 3/10

4. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction

We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/5

5. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.

(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/20

6. For this we will use another LCD.

LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15

75 is 15% of what number​

Answers

75 is 15% of 500!! If you get it wrong IM SO SORRY!!

Answer: 113.3333 (repeating 3’s)

Step-by-step explanation:

17 = 15%

divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%

11.33 = 10%

multiply 10 and 11.33 by 10 to get 100%

113.33 = 100%

Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?

Answers

Answer:

the answer is 5×9+2=47

Step-by-step explanation:

the answer is 47

Sales tax rate is 8% if Ayana buys a set of spoons price that 17.88 what will be the total cost including tax

Answers

Answer:19.31Step-by-step explanation:17.88 x 1.08 = 19.3104 round it down to 2 decimal places to get 19.318% = 0.08

Extra:

Percentage =  1% = 0.01, 10% = 0.1 and 100% = 1

Increase in percentage = 1 + percentage eg. (1  + 0.08 = 1.08)

Decrease in percentage = 1 - percentage eg. (1 - 0.08

Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help

Answers

Answer:

C

Step-by-step explanation:

x=8

(8+40)= 48

2³=2×2×2=8

48:8=6

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