Parallelogram Q T S R is shown. Sides Q T and R S are parallel, and sides Q R and T S are parallel. Angle Q is (9 x minus 6) degrees and angle R is (8 x minus 1) degrees. Devin started the work shown to solve for the unknown angle measures. 8x – 1 + 9x – 6 = 180 17x – 7 = 180 17x = 187 What are the measures of angles Q and R? m∠Q = ° m∠R = °

Answers

Answer 1

Answer:

m<Q = 93 degrees

m<R = 87 degrees

Step-by-step explanation:

Given the following angles;

m<Q = 9x-6

m<R = 8x-1

Looking at Devin's work, we will see that he the sum of both angles is 180 degrees

Hence m<Q + m<R = 180

9x - 6 + 8x - 1 = 180

9x+8x-6-1 = 180

17x - 7 = 180

17x = 180 + 7

17x = 187

x = 187/17

x = 11

Get m<Q

m<Q = 9x - 6

m<Q = 9(11) - 6

m<Q = 99 - 6

m<Q = 93 degrees

Get m<R

m<R = 180 - m<Q

m<R = 180 - 93

m<R = 87degrees

Answer 2

Answer:

93 and 87

Step-by-step explanation:

edge 2021


Related Questions

Simplify and leave in radical form.

Answers

Answer:

Step-by-step explanation:

Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

mark me as brill

Enter the number that belongs in the green box

Answers

Answer:

60

Step-by-step explanation:

What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction

Answers

Answer:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

[tex]\cos Y= \frac{YZ}{XY}[/tex]

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y

For angle Y:

[tex]Opposite = XZ[/tex]

[tex]Adjacent = YZ[/tex]

[tex]Hypotenuse = XY[/tex]

The [tex]\sin[/tex] of an angle is calculated as:

[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

So:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

The [tex]\cos[/tex] of an angle is calculated as:

[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

So:

[tex]\cos Y= \frac{YZ}{XY}[/tex]

The [tex]\tan[/tex] of an angle is calculated as:

[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Answer:

c

Step-by-step explanation:

What is the sum of the degree measures of the complement and the supplement of a 16° angle?​

Answers

Answer:

270?

Step-by-step explanation:

180 + 90 = 270

Solve for X
Solve for X
Solve for X

Answers

Answer: it is 4

Step-by-step explanation:

Answer:

Opposite sides of the parallelogram are congruent

[tex]3x+4=16[/tex][tex]3x=16-4[/tex][tex]3x=12[/tex][tex]x=12/3[/tex][tex]x=4[/tex]------------------------hope it helps...have a great day!!

La suma de dos números enteros que tienen signos diferentes es:

Answers

1 Si los sumandos son del mismo signo, se suman los valores absolutos y al resultado se le pone el signo común. 2 Si los sumandos son de distinto signo, se restan los valores absolutos (al mayor le restamos el menor) y al resultado se le pone el signo del número de mayor valor absoluto.

Answer:

Hhhhhhhhnnnnnnnnnn

Step-by-step explanation:

Bbb

The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:


Part A: What do the x-intercepts and maximum value of the graph represent?

Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?

Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answers

Answer:

What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120

Step-by-step explanation:

Please help me question is in the picture

Answers

Answer:

1. Down

2. 9 units down

3. Left

4. 5 units left

The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%

Answers

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

$1,000 at 7.5% for 30 months

Answers

Step-by-step explanation:

principal=1000

rate=7.5

time=30 moths

interest= principal multiplied to rate multiplied to time by 100

which give 100multiplied to 7.t multiplied to 30 by 10p

which gives 22500by 100

which gives 225

amount= interest plus principal

= 225+1000

=1225

Name the ordered pair for the point

Answers

Answer:

the answer is 1,1 1/2 os c

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.

Answers

Answer:

A= 94°, B = 102°, C = 86°, D = 78°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

It has the property that opposite angles are supplementary: A with C and B with D.

Solve following for x:

x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°

The angles are:

A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°

hi please answer this xoxo will mark brainliest

Answers

since isosceles has 2 sides that are equal then,

270 - 108 = 162

divide 162 by 2

162 ÷ 2 = 81

so, C

Answer:

A.)

Step-by-step explanation:

108 + 100 + 62 = 270

help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]

Answers

tan²( θ ) - (1 + √3) tan (θ) + √3 = 0

tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0

tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0

tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0

( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0


tan( θ ) - 1 = 0

θ = π/₄

tan( θ ) - √3 = 0


θ = π/₃


so θ = π/₄ and θ = π/₃

Answer:

[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:

distribute tan(θ):

=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0

remove parentheses:

=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0

so this equation is now in standard form i.e ax²+bx+c=0

we can solve by factoring as we solve quadratic equation

factor out tanθ:

=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0

factor out -√3:

=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0

group:

=>(tan(θ)-√3)(tan(θ)-1)=0

separate it as two different equation:

[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]

add 1 and √3 to both sides to first and second equation respectively:

[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]

[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]

[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]

URGET: Inscribed Angles
Find the measure of angle R.

Answers

Answer:

∠ R = 50°

Step-by-step explanation:

The inscribed angle R is half the measure of its intercepted arc QS

QS = 360° - (120 + 140)° = 360° - 260° = 100° , then

∠ R = 0.5 × 100° = 50°

[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?

y=82(1.045)

Answers

Answer: pls help with the answer this is hard

Step-by-step explanation: i really need help!!!

Evaluate each expression
7 + 9=
43 - 5=

Answers

The answer you just add and subtract
7+9=16
43-5=38
7+9= 16
43-5= 38
Explained: it’s pretty easy lol

Find the absolute value.

1 -31=___

-1 121=___

-1 -221=___

Answers

I guess we will never know

Answer:

-30

120

-222

Step-by-step explanation:

What angle is paired with angle D as an alternate interior angle?

Answers

Answer:

E

Step-by-step explanation:

i dont know at this point

Answer:

angle E

Step-by-step explanation:

Hello There!

We need to find an angle that is a pair with angle D and they have to be alternate interior angles

alternate interior angle properties:

On the inside of the parallel linescongruent

In the image below; represents a pair of alternate interior angles

These properties match angle D with angle E

Why? they are both on the inside of the parallels

They also happen to be congruent

If i have 172 centimetres of ribbon to decorate a gift basket. How many more centimetres of ribbon would i need to make 3 metres

Answers

you would need 128 more centimeters of ribbon in order to make 3 meters worth of ribbon.

1 meter = 100 centimeters
3 meters = 300 centimeters
subtract 300 by 172
= 128 more centimeters

.
Find the y-intercept of y - x = 7.

Answers

Y= (0,7) is your answer

find the real zeros of k(x)= x^3 - 2x^2 +2x -4

Answers

Answer: k=x^3-2x^2+2x-4/x

Step-by-step explanation: hope this helps!

The table below shows the account value of each of Dmitri's three bank accounts
Dank account
Account value
Savings
8573.73
Retirement
8204.43
Checking
-$435.24
Help Dmitri sort his accounts from lowest to highest absolute value of account value. Click and drag to sort the
tiles
Checking
Retirement
Savings

Answers

Answer:

there could be more than one answer...

Step-by-step explanation:

Answer:

Retirement Checking Savings

Step-by-step explanation:

in that order(khan said so)

A cube has a volume of 64. What is the side length of one side
#15

Answers

Answer:

4

Step-by-step explanation:

volume is equal to a x a x a

This means that [tex]a^{3}[/tex] = V

Therefore, a = cube root of V, which is 4

It would be 4.

Using the formula
V=a3
Solving fora
a=V⅓=64⅓≈4

Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?

Answers

This is the equations,
Tee Company: 9.65x + 43
Shirtz Company: 8.40x + 58
If you were to buy one shirt from each company these would be the prices,
Tee Company: $52.65
Shirtz Company: $66.40
I would recommend the Tee Company since the price per shirt is cheaper.

cosec 45^0
= ______ .​

Answers

Answer:

cosec45° = [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the identity

cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

Then

cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]

Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?

Answers

I’d say John is a pretty skinny boy who doesn’t have too much height on him. he doesn’t appear to have much muscle on him or excess weight.


Frodo goes to New Army and buys two pairs of jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has a
coupon for 25% off his entire purchase. Sales tax is 7 %. What is the total cost after the discount and tax? $
109points plsss helpppppp now

Answers

Answer:

lol i answered on another 1 of ur things

Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.

Answers

Answer:   x=-3

Step-by-step explanation:

Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.

5(2x−3)=20x+15

5(2x) + 5(-3) = 20x + 15

10x - 15 = 20x + 15

-10x - 15 = 15

-10x = 30

x = -3

Last question for the day plz help thank you!!<3

Answers

Answer: A

Step-by-step explanation:

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