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

Use table of square to evaluate 6250²÷0.1750²

Answers

Answer:

1275510204.08

Step-by-step explanation:

please first take square and then division

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.

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.

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

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!

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

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!

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

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

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

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.

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:

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! :)

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

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:

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)

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

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?

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

Answers

Answer:

0.884

Step-by-step explanation:

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

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

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

Answers

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

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

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-

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

(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.

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.

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:

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