Mathematics High School

Help please.
Angle SPR and angle RPQ are complementary. Find the measure of angle RPQ.

Help Please. Angle SPR And Angle RPQ Are Complementary. Find The Measure Of Angle RPQ.

Answers

Answer 1

Answer:

53 degrees

Step-by-step explanation:

Complimentary angles are angles whose sum equals 90 degrees.

90-37 = 53

Answer 2

Answer:

m∠RPQ = 53°

53 degrees

Step-by-step explanation:

When two angles are complementary angles, it means they add up to 90 degrees (Ex: a 10° angle and 80° angle would be complementary).

Therefore, if ∠SPR and ∠RPQ are complementary, then

m∠SPR + m∠RPQ = 90°

since you are given that m∠SPR = 37°, you can plug that in for m∠SPR to find m∠RPQ:

m∠SPR + m∠RPQ = 90°

37° + m∠RPQ = 90°

m∠RPQ =  90° - 37°

m∠RPQ = 53°

Related Questions

A fence is being built around a rectangular garden that is 8 1/2 feet by 6 1/3 feet. Fencing comes in panels. Each panel is 2/3 of a foot wide. how many panels are needed?

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Determine the intercepts of the line.

Y-intercept (____,____)
X-intercept(____,____)

Answers

Answer:

Y intercept (0, 0.4)

x intercept (0.3, 0)

Step-by-step explanation:

no need explanation. it ia clear from the picture.

Answer:

Y-intercepts 0,0.4

X-intercepts 0,0.3

What is the slope and y-intercept from the table?





a
m = 1/4, b = 0
b
m = -1/4, b = 5
c
m = -4, b = 5
d
m = 4, b = 0

Answers

Add, then subtract and that’s your answer!

Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a
30% saline solution
What is the total amount, in ounces, of salt in the combined moxture?

Answers

Answer:

13.5 ounces

Step-by-step explanation:

CAN SOMEONE PLEASE CHECK MY ANSWER!!

Answers

Answer:

Yesss, that's correct!

Step-by-step explanation:

Good luck!!!!

Using the triangle in the diagram, what would be the coordinate of A' if reflected over the line x=2 ? *

(0, 3)

(0, -3)

(4, -3)

(-4, 3)

Answers

It would be (0,3). You can see that the A is 2 units from the line. If you do it from the other side, then it would line up to (0,3)

0.6h=13.02 show work​

Answers

Answer:

21.7

Step-by-step explanation:

0.6h=13.02

h=13.02/0.6

h=21.7

Answer:

21.7

Step-by-step explanation:  

0.6h=13.02

h=13.02/0.6

h=21.7

Use the distributive property to write an expression equivalent to 3x+21. *

Answers

Answer:

3(x+7)

Step-by-step explanation:

Which of these represents slope-intercept form of a linear equation?Immersive Reader
(1 Point)

y - y1 = m(x-x1)

Ax + By = C

y=kx

y = mx + b

Answers

The correct answer is A
Slope-intercept of an equation of is y=mx+b

AJKL is similar to ARST. What is the value of x?

Answers

Answer:

15

Step-by-step explanation:

(12/8) ×10 is the correct answer

If triangle JKL is similar to triangle RST then the value of x is 15.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Triangle JKL is similar to triangle RST

Let us find the value of x by forming a proportional equation

10/x = 8/12

Apply cross multiplication

120=8x

Divide both sides by 8

x=15

Hence, if triangle JKL is similar to triangle RST then the value of x is 15.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

Sandeep used 8 litres of fuel to travel 76 miles.

He wants to know how many miles he will be able to travel with 22 litres of fuel.

He assumes that the distance travelled and the amount of fuel used are directly proportional.

How many miles can he drive with 22 litres of fuel?

Answers

Answer:

I got, when calculated, 209 miles. (It may be wrong)

Step-by-step explanation:

First, I calculated how many miles can Sandeep travel with 1L, therefore I divided 76 miles by 8L and got 9.5 miles on 1L.

Then I multiplied 9.2 miles by 22L and got 209 miles.

This may be wrong but if anyone else is able to work it out much appreciated if it's correct.. Your most welcome!

Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers.
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Mig
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to
travelling at 45 kph, takes 45 minutes longer for the
is station A from station B.
4. The sum of two consecutive even integers is less tha
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find
sides of the square.​

Answers

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

Three lions and three tigers are walking in a row to get ice cream. The lions are fighting so they are not walking next to each other. in how many different ways can the three lions and three tigers walk if no two lions are the same and no two tigers are the same?

Answers

Answer:

72

Step-by-step explanation:

As 3 lions & 3 tigers are to be arranged in a way that lions are not together. It can be done as per following arrangements

LTLTLT , or TLTLTL

Lions can be positioned in six ways, Tigers can also be positioned in 6 ways. There are two alternative positions.

Hence the arrangement can be done in 2 x 6 x 6 = 72 ways  

The different ways should be 72.

calculation:

As 3 lions & 3 tigers are to be arranged

So, it can be

LTLTLT , or TLTLTL

Now the arrangement should be

[tex]= 2 \times 6 \times 6[/tex]

= 72 ways  

learn more about the row here: https://brainly.com/question/17140488

25 points

Solve for x, y, and z.

Answers

Answer:

Step-by-step explanation:

x=57

y=57

z=66

Find the positive value of x that makes the following equation true?
x^2 − 1 4 = 5x + 67 − 5x

Answers

Answer:

x=9

Step-by-step explanation:

x^2 = 5x + 81 -5x.

x^2 = 81

x=9


Use the figure to complete the proportion
?/h=h/?

Answers

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

To harmandeep or someone else please help me

Answers

Answer: 3x+6=9

3x=3

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

To solve this, we must first isolate the variable 'x':

3x + 6 = 9

      -6   -6

3x = 9 - 6

Combine like terms

3x = 3

Isolate 'x' fully

3x = 3

/3    /3

x = 1

Hope this helps :)

A value is decreased by 85% for a new value of 17.1. Find the original value.

Answers

Answer:

114

Step-by-step explanation:

let 'n' = original value

(17.1 - n) / n = -85/100

cross-multiply:

1710 - 100n = -85n

1710 = 15n

n = 1710/15

n = 114

A color printer prints 13 pages in 8 minutes How many pages does it print per minute

Answers

Answer: 13/8 or 1.625

Step-by-step explanation:

Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12

Answers

P is greater than or equal to 2
10p-8>12
+8 +8
10p>12+8
10p>20
/10 /10
P> or equal to 2

Answer:

2 is what is it

Step-by-step explanation:

Find the side of an equilateral triangle if its area is 25√3 cm2

Answers

Answer:

10

Step-by-step explanation:

area=√3/4×a^2

100√3 = √3×a^2

a^2 = 100

a=10

side = 10

Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days ​

Answers

Answer:

Step-by-step explanation:

d+821=5323

d=4502

So the distance she climbed in the first four days was 4502 feet.

Daniel jarred 12 liters of jam after 4 days. How much jam did Daniel jar if he spent 7 days
making jam? Assume the relationship is directly proportional.
liters

Answers

Step-by-step explanation:

He jarred 21 in 7 days because there is 3 liters per day

What is the height of a triangle that has a base of 8 in. and an area of [tex]28in^{2}[/tex]

Answers

Answer:

height is 7 inches

Step-by-step explanation:

a=1/2bh

28=1/2(8)h

28=4h

/4

7=h

check your work

8x7= 56

56/2=28

5+2x+7+2x Simplify the expression .

Answers

Answer:

12 + 4x

Step-by-step explanation:

You take all of the ones which you can group together and so, you can take the 5+7 and make it 12 and the 2x + 2x = 4x. I hope this helps!

very important how do you sleep

Answers

Answer:

I don't sleep

Step-by-step explanation:

Find all the zeros and multiplicities. Provide explanation. r(x)=x^2(x+5)(x-7)^3

Answers

Answer:

what do you mean by find all the zeros and multiplicities, you have me confused on that part, if you explain that part a little more then I might be able to help you out a little bit M8

What is the monthly payment for a $11,000 loan for 7 years with an annual interest rate of 2.5%?

Answers

Answer:

i d k

Step-by-step explanation:

look it up

5)
D
-10 + 7x
70°
E
12x + 10
А с
A) 12
C) 8
B) 10
D) 2

Answers

Answer:

B) 10

Step-by-step explanation:

Exterior angle property: Exterior angle equals the sum of opposite interior angles.

12x + 10 = -10 + 7x +  70 {Subtract 10 from both sides}

12x        = -10 + 7x + 70 - 10        

       12x = -10 + 70 - 10 + 7x  {Combine like terms}

      12x  = 50 + 7x          {Subtract 7x from both sides}

12x - 7x = 50

       5x = 50 {Divide both sides by 5}

         x = 50/5

x = 10

Maria's job pays her $1500 a month what is her gross weekly wage

Answers

Answer:

annual: $18000

weekly: $346.15

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