Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°


find m<QRS, m<PQS, m<RPS and m<PSQ​

Given PQ = 24PS = 19PR = 42TQ = 10m&lt;PQR = 106m&lt;QSR = 49m&lt;PRS = 35find M&lt;QRS, M&lt;PQS, M&lt;RPS

Answers

Answer 1

The shape PQRS is a parallelogram

The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degrees

The given parameters are:

[tex]\mathbf{\angle PQR = 106}[/tex]

[tex]\mathbf{\angle QSR = 49}[/tex]

[tex]\mathbf{\angle PRS = 35}[/tex]

(a) Find QRS

This is calculated as:

[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]

So, we have:

[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]

[tex]\mathbf{\angle QRS = 70}[/tex]

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]

So, we have:

[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]

[tex]\mathbf{\angle PQS = 53}[/tex]

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]

Where:

[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]

So, we have:

[tex]\mathbf{\angle RPS = 35}[/tex]

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]

Where:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]

So, we have:

[tex]\mathbf{\angle PSQ =53}[/tex]

Hence, the measure of angle PSQ is 53 degrees

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Related Questions

help pls, i will link question with 50 points

Answers

1. Y = 4x-7

2. y = -5/4+ 5

3. Y = -2x + 5

4. Y = 6

5. Y = -2/7x+0

6. Y = -1/2x + 15/2

10 in
3 in
8 in
4 in
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = (8 × 7) + (3 × 4) = 56 + 12 = 68

The perimeter = 10 + 4 + 3 + 4 + 7 + 8 = 36

please give me a brainliest answer

write the equation for the slope intercept form

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Answer:

y=2/3x-1

Step-by-step explanation:

HELP ASAP WILL GIVE 15 points
Choose the function that includes the given points.

Answers

Answer:

Top Right

Step-by-step explanation:

all the brackets are in the form (X, Y), Y=P(x)

just replace the X's in the brackets with the X's in the Options, if P(x) is the number that's in place of Y in the brackets, then that option is the correct one, in this case the top Right one. if this helped, please mark as brainliest

Answer:

Top right/second answer is correct

Step-by-step explanation:

I did it

Can someone please help-

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Answer:

5[tex]\frac{17}{18} }[/tex]

Step-by-step explanation:

.what is the answer please ​

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its  C the only one that makes a angle

Tammy has 35 coins nickels and quarters. In all she has $4.15. How many of each kind of coin does she have

Answers

The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: dimes, nickels, pennies, and quarters.

Tammy has 23 nickels and 12 quarters.

Let's represent the number of:

Nickels = n

Quarters = q

It is important to note that the value of:

1 nickel = $0.05

1 quarter = $0.25

Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:

n + q = 35

This can be rewritten as :

n = 35 - q

In all, she has $4.15. This statement can be represented using an algebraic equation below:

0.05n + 0.25q = 4.15

We substitute 35 - q for n in the above equation.

0.05(35 - q) + 0.25q = 4.15

1.75 - 0.05q + 0.25q = 4.15

Collect like terms

- 0.05q + 0.25q = 4.15 - 1.75

0.2q = 2.4

Divide both sides by 0.2

0.2q/0.2 = 2.4/0.2

q = 12

Therefore, the number of quarters Tammy has is 12.

Solving for the number of nickels, we have the equation:

n = 35 - q

n = 35 - 12

n = 23

Therefore, the number of nickels Tammy has is 23.

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Find the value of the power. (2/3)3  ​

Answers

Answer:

8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}[/tex]

Due tomorrow i need help please

Answers

Answer:

(-6,9)

Step-by-step explanation:

You first need to simplify the polynomial, which would equal to (x-9)(x+6). Then afterwords you would have to get the zeros of x by doing inverse operation, which would equal to (-6,9). Since these greater and lesser than the number within the graph they are parentheses instead of brackets.

is −4[3(x−7)] and 6(14−2x) equiviant

Answers

Answer:

Yes.

Step-by-step explanation:

Set the equations equal to each other to determine their equality.

-4[3(x - 7)] = 6(14 - 2x)

Distribute the 3 and the 6 into their respective parenthesis.

-4[3x - 21] = 84 - 12x

Distribute the -4 into the brackets.

-12x + 84

Rearrange the equations.

84 - 12x = 84 - 12x

Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.

Solve the equation. Prove that it makes the equation true.
3b-8=d-6

Answers

Answer:

um just one question are you sure it's supposed to be d-6 instead of b-6

Step-by-step explanation:

if it's b-6 instead of d then the answer is 1

b= 1/3d + 2/3 , der

Find the distance between points B and N.

Answers

Answer:

5

Step-by-step explanation:

b is at 15

n is at 10

hence -15 - -10=5

positive 5 btw


[tex]5x - 3(2x - 4)[/tex]
please help me​

Answers

(-x -12)

-3 distributed into the parenthesis and then combine like terms

The volume of this cone is 540π. Work out the height,h, of the cone, radius=9cm

Answers

Answer:

h = 20

Step-by-step explanation:

540π = 1/3 . h . π . 9^2

get rid of π

540 = 1/3 . h . 9^2

multiply by 3 to get rid of 1/3

3 . 540 = h . 9^2

1620 = h . 81

divide by 81

1620/81 = h

20 = h

Hope that helps :)

If 134n = 54eight , calculate n​

Answers

sorry what does 54eight mean?

The value of 'n' is approximately 4.0896.

To calculate the value of 'n' in the equation 134n = 548, we can isolate 'n' by dividing both sides of the equation by 134.

134n = 548

Dividing both sides by 134:

n = 548 / 134

Evaluating the division:

n ≈ 4.0896

Therefore, the value of 'n' is approximately 4.0896.

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Complete Question:

If 134n = 548, calculate n​.

What were two impacts of the first great depression?

help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: unemployment (more homeless people)

2: House prices rose down drastically by 70%.

(My sources: TheBalance.com)

HELP ME PLEASE!!! 12 points!

Answers

Answer:

-18

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Parentheses first so

7-10=-3

then the brackets

-2-3-15=-20

-4-20=-24

so thats the numerator

the denominator is

2(-1)=-2

-20/-2= ?

We can remove the negative because two negatives make a positive then we would divide by 2

20/2=10

and that's our answer! :)

A woman has a square garden for strawberry planting.2 of the sides have fencing.The fencing is 40m in length.Find the maximum possible area.

Answers

Answer:

The maximum possible area is 1,600 m.

Step-by-step explanation:

You already have the two sides so you just multiply 40×40 and that gives you the area.

PLEASE HELP ME AND FAST! ANSWER WITH EXPLANATION PLS, ANSWER RIGHT PLS PLS PLS!
Last year, Deandre had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $790 in interest. How much did he invest in each account?
First Account: $?
Second Account: $?

Answers

He had $10,000 in the first account & $900 in the second account.

3. Consider the equation 3x + 4 = 8x - 16. Solve for x using the given starting point."
Group 1
Group 2
Group 3
Group 4
Add 16 to both sides
Subtract 3x from both
sides
Subtract 4 from both
sides
Subtract 8x from both
sides

Answers

Answer:

X=-2.4

Step-by-step explanation:

3x+4=8x+16

-5x+4=16

-5x=12

x=-2.4

X=6
3x+4=8x-16
+16 +16
3x+20=8x
-3x -3x
30=5x
/5 /5
6=x

PLEASE HELP I REWARD BRAINLIEST!!!!!!!!!!!!!!
no silly answers please

Answers

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x = 9

= 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x = -6

= -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

How much is 9396 divided by 18? Use partial quotients to answer.

Answers

Answer:

9396/18 is 522

Additive inverse of -2/5​

Answers

Hello! The additive inverse of -2/5 is 2/5.

if you add -2/5+2/5, you will get 0, so these two numbers are opposites and additive inverses.

Hope this helps you!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.

Answers

Answer:

Paul has 6.6 miles to go after his snack.

Step-by-step explanation:

Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.

speed= distance/time  , v=d/t

So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.

distance_3h=v*t=13.8 miles per hour * 3 hours

distance_3h=41.4 miles

There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:

48-41.4=6.6 miles

Simplify the following by subtracting the exponents. I will give brainlist

Answers

Answer:

1. r^5

2. st^2

3. qr (the two "s" cancel each other out)

4. z (the x^2's and y^2's cancel each other out)

5. m (the n^2's and o's cancel each other out)

6. x

7. z^-1

8. a (the b^2's cancel each other out)

9. d^4 f^2

Step-by-step explanation:

When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.

The simplified expressions are given below.

What are Exponents?

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

1) We have the division rule of exponents that,

xᵃ /  xᵇ = xᵃ⁻ᵇ

Using this,

r⁶ / r = r⁶⁻¹ = r⁵

2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²

3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr

s⁰ =  1, since any number raised to zero is always one.

4) x²y²z / x²y²z

Both numerator and denominator are same.

So the quotient is 1.

5) m³n²o / m²n²o

n²o gets cancelled both in the numerator and denominator.

m³n²o / m²n²o = m³⁻² = m

6) x² / x = x²⁻¹ = x

7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹

8) a²b² / ab²

b² gets cancelled since they are same in both numerator and denominator.

a²b² / ab² = a²⁻¹ = a

9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²

Hence the simplified form of each of the expressions is given.

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Can someone pls help me

Answers

Since it is a right triangle, you can use the Pythagorean Theorem to find the length of the missing side.
a^2 + b^2 = c^2
(a and b are the legs, c is the hypotenuse)
In this triangle, a=21 and c=25. Find b.
21^2 + b^2 = 25^2
441 + b^2 = 625
b^2 = 184
b = 13.6

The ratio of men to women working for a company is 6 to 5 . If there are 65 women working for the company, what is the total number of employees?

Answers

Step-by-step explanation:

[tex]\frac{men}{women} =\frac{6}{5}[/tex]

If there are 5 women = 6 men

If there are 5(13) women = 6(13) men

If there are 65 women = 78 men

So there are 65 + 78 = 143 employees.

please give me a brainliest answer

From the graph, write the linear equation in slope-intercept form

Answers

Answer:

1.y=1/2+2

2.y=-2+1

3.y=3/2+3

4.y=-2/3-2

Step-by-step explanation:

answer po plss plss plsss

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Answer:

 16. 1.56

17. 0.8625

18.0.04

Step-by-step explanation:

how to order you decimals from least to greatest

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The least is the lower number
The greatest is the higher number
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