The measure of an angle is 9 more than twice its complement. Find the measure of each angle. Which equation below accurately translates the sentence and could be used to find the measure of each angle? 2x + 9 = 90 - x x + 9 = 2(x - 90) x = 9 + 2(90 - x) 2x = (x - 90) + 9

Answers

Answer 1

Answer:

1) Find the measure of each angle.

The measure of each angle = 63° and 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a) 2x + 9 = 90 - x

Step-by-step explanation:

1) Find the measure of each angle.

Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

Mathematically this is represented as:

x° + y° = 90°

From the above question, we are told that:

The measure of an angle is 9 more than twice its complement.

Let the complement of an angle be represented by x

And its measure of an angle be represented by y

Hence,

y = 2× x+ 9

y =(2x + 9)°

x° + y° = 90°

Substitute 2y + 9 for x

x + 2x + 9 = 90

Collect like terms

x + 2x = 90 - 9

3x = 81

Divide both sides by 3

3x/3 = 81/3

x = 27°

We find y(measure of the angle)

x + y = 90

27 + y = 90

y = 90 - 27

y = 63°

Therefore, the measure of each angle is given as:

Measure of an angle = 63°

Complement of an angle = 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a)2x + 9 = 90 - x

b) x + 9 = 2(x - 90)

c) x = 9 + 2(90 - x)

d) 2x = (x - 90) + 9

Option a) is the correct option


Related Questions

Please help me out with this!Car A travels at a speed represented by the equation y= 45x

The unit rate is ____ miles per hour

Answers

Answer:

45? this sounds like a 6th grade problem,idk sounds too easy for it to be right

A line passes through the points (0,4) and (2,-2). What is the equation
of this line in slope intercept form?

Answers

Answer:

y=-3x+4

Step-by-step explanation:

A car travels at a constant speed. The graph above shows the car's travels.
What does the point on the graph mean? Please write in complete sentences.

Answers

Answer:

The point shows the distance, 140 miles, driven in two hours.

Alicia drove at a constant speed and traveled 182.4 miles in 3 hours. what is her rate in miles per hour

Answers

Speed = distance / time

Speed = 182.4 / 3

Speed = 60.8 miles per hour.

You buy 5 pounds of nails at the store. How many ounces is that?

Answers

Answer:

80 ounces

Step-by-step explanation:

One pound equals 16 ounces

16 times five is 80 ounces

PLEASE HELPPP!!!! Describe the graph using both set-builedr notation and interval notation.​

Answers

Answer:

See below

Step-by-step explanation:

The inequality in the picture is the line to the left from  15

Set builder notation

{x | x < 15}

Interval notation

(-oo, 15)

Since Neil Armstrong was the first person to walk on the. moon, the contrapositive is

Answers

Answer:

If nobody walked on the moon, then Neil Armstrong didn't

Step-by-step explanation:

The contrapositive flips the sign of "Neil Armstrong"  and the "moon," and also switches their position, so you will switch the hypothesis and conclusion as well

Can someone help me ? I need to get the answer but I don’t know how to do it?

Answers

Answer:

D) 29.41 oz

Step-by-step explanation:

Maya has 15 cousins, which means she is making 15 bags.

She has 441.15 oz of candy in all. Divide 441.15 with 15:

441.15/15 = 29.41

29.41 oz is your answer, or D).

~

Answer:

D

Step-by-step explanation:

441.15/ 15

I calculated it.

Have a nice day!

Graph the image of the given triangle after the transformation with the rule
(x, y) —> (-x,y)

Answers

Answer:

The coordinates of image are :  (-3,4) , (-8,2) and (-4,7)

Step-by-step explanation:

The rule is given as (x, y) —> (-x,y)

The coordinates of the triangle are : (3,4) , (8,2) and (4,7)

The coordinates of the image of the triangle will be : (-3,4) , (-8,2) and (-4,7)

Graphing the coordinates of image and connect the points to get the image of the triangle as attached below;

You will notice the rule of the transformation is a reflection along the y-axis.

(3^2)12/ 3^6
Look at the picture I don’t understand how to do this problem.

Answers

3^ 2 x 12 = 3^24

3^24/3^6 = 3^ 24-6

= 3^ 18

So it's 3 with power 18

Answer:

this is the correct answer.

hope it will help you.

I subtracted 14 from 30 and then I multiplied the difference by 6.​

Answers

Your answer will be 96.

Proof:

Step one: Subtract 14 from 30  30-14=16

Step two: Multiply the difference by 6 16x6=96

Hope this helps!

I"LL GIVE 100 PTS PLEASE ANSWER THIS QUESTION

Study card E. If there are 6 grams of fat in the snack, how



many grams of protein are there?

Answers

Answer:

6 grams of fat in a snack then 50 grams of protein in snacks

Answer:

Step-by-step explanation:

this question is already answered

what value of x makes the following equation true 4+3x=160

Answers

Answer:

x=52

Step-by-step explanation:

160=4+3x

Subtract 4 from both sides

156=3x

Divide 3 from both sides

x=52

Please help me vote you brainiest

Answers

Answer:

Wise

Step-by-step explanation:

In this case Gramps is being known as wise as many people go to him to learn new information about life or something else.

The other options also don't make sense in this case

Hope this helps! :)

(6.8 x10^2) x (1.3 x10^-3)

Answers

Answer:

0.884

Step-by-step explanation:

Which expression has a value of 8?

720 ÷ 9
720 ÷ 90
7,200 ÷ 9
7,200 ÷ 90

Answers

Answer:

yooooooooooooooooooooooooooooooo

Step-by-step explanation:

yooooooooooooooooooooooooooooooo

720/9 = 80
720/90 = 8
7,200/9 = 800
7200/90= 80

Plz Help will give major points and brainliest.

Answers

Answer:

see below

Step-by-step explanation:

a) The unknown is the price of a large pizza

b)  Each pizza cost is positive,

c) The the price of a pizza be p,

so the price of one pizza is p

d) The expression is  

6 pizzas minus 3 dollar off each pizza

6p -3p

e) Set this equal to the total cost

6p -3p= 38.94

f) Combine like terms

3p = 38.94

Divide each side by p

3p/3 = 38.94/3

p = 12.98

The price of each pizza before discount is 12.98

you want to buy some rice. A 6 ounce package costs $2.22. A 15-ounce package costs $5.25. A 22-ounce package costs $7.92. Which package is the best to buy?​

Answers

Answer:

A. 6 ounce divide$ 2.22 = 0.37 per ounce

B. 15 ounce divide $ 5.25 = 0.35 per ounce

C. 22 ounce divide $7.92 = 0.36 per ounce

So my answer is Package B which is 15 ounce package $ 5.25

Answer:

22

Step-by-step explanation:

It's correct but i have no explanation.

Determine the value of y, if x is-6.
y= |x|+ 6
Answer:

Answers

Y would = 12 does this help with your question

Answer:

y = 12

Step-by-step explanation:

The two bars between x mean absolute value, so all negatives turn into positives because absolute value just means the total distance from zero.

y = |x| +6

y = |-6|+6

y = 6+6

y = 12

Have an amazing day!!!! C:

Which is better buy? $1.50 for 5oz or $1.20 3oz

Answers

Answer:

The first one 1.50 for 5oz

Step-by-step explanation:

please solve and show work! im desperate fkskdj

Answers

Answer:

h=−6.28r2+s/6.28r

Step-by-step explanation:

Step 1: Flip the equation.

6.28hr+6.28r2=s

Step 2: Add -6.28r^2 to both sides.

6.28hr+6.28r2+−6.28r2=s+−6.28r2

6.28hr=−6.28r2+s

Step 3: Divide both sides by 6.28r.

6.28hr/6.28r=−6.28r2+s/6.28r

h=−6.28r2+s/6.28r

Please help and show the work thank you ! :)

Answers

Answer:

The Sidewalk is 16 yards^3

Step-by-step explanation:

To find the this answer its quite simple!

Anytime there's an area problem you would have to multiply to numbers to get the area

in this case 16 is the answer because when you multiply 16 * 16 you get the total area of 256 yards. hope this was understand able!

High Hopes^^

Barry-

I NEED HELP ASAP YOU WILL BE LOVED

Answers

Answer:

Keplers Third Law

Step-by-step explanation:

Kepler's Third Law relates the period of an orbit to the radius of an orbit, if the orbit is circular, and to the semimajor axis if the orbit is elliptical.

Let's derive it for a circular orbit, assuming a mass m is orbiting a mass M, with r being the radius of the orbit.

ΣF = ma

GmM/r2 = mv2/r

Cancelling the m's and a factor of r gives:

GM/r = v2

We can bring in the period using:

v = 2πr / T

This gives GM/r = 4π2r2/T2

Re-arranging gives:

Kepler's Third Law: T2 = (4π2/GM) r3

For an system like the solar system, M is the mass of the Sun. So the constant in the brackets is the same for every planet, and we get the relationship that the period of the orbit is proportional to r3/2.

The same with satellites orbiting the Earth - in that case M is the mass of the Earth, but again the larger the orbit the larger the period.

Multiply:

2 × (–21) × 7

Answers

Answer: 294

Step-by-step explanation: multiplying 2 x -21 = 42 42 x 7 = 294

In the given figure AB is parallel to CD then value of x is?

Answers

0
I hope this helps!!!!!!!

Use table of square to evaluate 6250²÷0.1750²

Answers

Answer:

1275510204.08

Step-by-step explanation:

please first take square and then division

Ten kids can go to the water park for $95. How many can go if there is $200?

Answers

Answer:

only 2 kid's could go since the price of both is 95 for one and times it by two it's 190

½(10x - 18) - 13x = -2x + 7 - 6x
I linked a photo

Answers

Answer:

no solutions

Step-by-step explanation:

½(10x - 18) - 13x = -2x + 7 - 6x

Distribute

5x -9 -13x = -2x +7 -6x

Combine like terms

-8x -9 = -8x+7

Add 8x to each side

-8x -9 +8x = -8x+7+9x

-9 = 7

This is never true so there are no solutions

There is no solution to the problem.

Can someone plz help me plz

Answers

Answer:

40°

Step-by-step explanation:

50+40=90

whoever guesses my middle name right I'll give a brainest. hint: it's really basic ​

Answers

Answer:

Emma

Olivia

Ava

Rose

Isabella

Sophia

Charlotte

Mia

Amelia

Harper

Evelyn

Abigail

Emily

Elizabeth

Mila

Ella

Avery

Sofia

Camila

Aria

Scarlett

Victoria

Madison

Luna

Grace

Chloe

Penelope

Layla

Riley

Zoey

Nora

Lily

Eleanor

Hannah

Lillian

Addison

Aubrey

Ellie

Stella

Natalie

Zoe

Leah

Hazel

Violet

Aurora

Savannah

Audrey

Brooklyn

Bella

Claire

any?

Other Questions
Margaret drank 1/6 of a 36oz. Bottle of soda. She gives the rest of the bottle to her friend Jamie who drinks 2/3 of the soda in the bottle. Jamie then gives the rest of the bottle to her friend Taylor. How much soda is left in the bottle when Taylor gets it? Group of answer choices plz and thank you. for class How would this graph MOST likely change if the price of a complementary good were to increase?A.The demand curve would shift to the left.B.The demand curve would shift to the right.C.The supply curve would shift to the left.D.The supply curve would shift to the right. PLEASE HELP ASAP!Let f(x)=x-x-12 and g(x)= x -4. What value can the expression (f/g)(x) never equal? You would like to know whether silicon will float in mercury and you know that can determine this based on their densities. Unfortunately, you have the density of mercury in units of kilogrammeter3kilogrammeter3 and the density of silicon in other units: 2.332.33 gramcentimeter3gramcentimeter3. You decide to convert the density of silicon into units of kilogrammeter3kilogrammeter3 to perform the comparison. By which combination of conversion factors will you multiply 2.332.33 gramcentimeter3gramcentimeter3 to perform the unit conversion? Which of the following describes bias in an experiment?A. When researchers draw conclusions that do not support the hypothesis.B. When researchers draw conclusions that are consistent with their observations.C. When researchers blind themselves to participants in the groups, so they don't accidentally reveal the information.D. When the personal opinions, Ideas, or judgments of the researchers influence their research. nWhy was the French government willing to sell the Louisiana Territory?O France was in the midst of a revolution and could not focus attention on Louisiana.O France considered Louisiana unmanageable and a risky investment.O France was looking to unload all of its foreign colonies after the rebellion in Saint-Domingue.O France was at war with Great Britain and needed money from the sale to support its army. A 50kg boy stands on a horizontal rough ground. The coefficient with a static friction is 0.68. The maximum static friction between the boy and the ground is ? The guotient of z and 10 increased by 32.(Algebraic expression) Question 2 (1 point)What is 0.000003012 written in scientific notation? PLEASE I WILL MARK BRAINLIEST!!!I HAVE AN HOUR!!!Which form of travel was most important to the gold-salt trade in early West African kingdoms?OriverboatsO sailing shipscamel caravanshorse-drawn wagons Which of the following does not affect gas pressure Help meeee pleaseeeeee The scale on the map is 1 centimeter is equal to 25 kilometers. On the map, the distance the towns along the highway is 4.5 centimeters. Tori's car uses 0.123 liter of gasoline for each kilometer of highway driving. How many liters of gasoline to the nearest liter will Tori need to drive from one of these town to the other? An area where the soil contains a great deal of moisture is known as a(n) __________. a. estuary b. tundra c. aquaculture d. wetland Please select the best answer from the choices provided A B C D Can someone give me the correct awnser plz. Im stressed out Ill give points Which sentence uses desolate correctlyYoge provides feelings of desolate and calm which benefits prachtonersDuring the war entire cities were reduced to desolate piles of rubbleThe stadium was so crowded and desolate that I could hardly moveWe used stoks gathered in the woods to build a toast desolate mire What is 6/20 of a dollar BRAINLIEST IS RIGHT THIS QUESTION IS FROM THE STORY ANIMAL FARM,I NEED HELP ASAP AND WILL MARK BRAINLIESTSelect the correct character name for each description.1. It was the first time any of the animals had seen him gallop. 2. He is the only candidate for president and was elected unanimously. 3. He returns to the farm, wont work, and talks of a wonderful place. 4. She is two years past retiring age, but no animal has retired anyway. 5. He creates lists of figures that demonstrate everything is better. The answer choices are : Clover, Squealer,Napoleon,Moses and Benjamin A cell contains 20% solute. If it is placed in a solution with 35% solute, what will happen to the cell?