the measure of one angle of the angles in a linear is 30 less than one-half the measure of the other angle. Find the measure of each angle.

Answers

Answer 1

Answer:

140° and 40°

Step-by-step explanation:

let x be one angle then the other is [tex]\frac{1}{2}[/tex] x - 30

Since the angles are a linear pair, theis sum is 180° , then

x + [tex]\frac{1}{2}[/tex] x - 30 = 180, that is

[tex]\frac{3}{2}[/tex] x - 30 = 180 ( add 30 to both sides )

[tex]\frac{3}{2}[/tex] x = 210 ( multiply both sides by 2 to clear the fraction )

3x = 420 ( divide both sides by 3 )

x = 140

and [tex]\frac{1}{2}[/tex] x - 30 = [tex]\frac{1}{2}[/tex] (140) - 30 = 70 - 30 = 40

The 2 angles are 140° and 40°


Related Questions

Maria deposited her pay check of $301.86 into her savings account that already had $123.16. She then withdrew $60.00 for her weekly pocket money and went food shopping where she spent $153.44. She also paid off her outstanding loan of $220.00. What is her new balance?

Answers

her new balance is -$8.42

Answer:

-8.42

Step-by-step explanation:

How do I solve this ?
x - 7 > - 11

Answers

Answer: 77

Step-by-step explanation:

Multiply both sides of the equation by  

Simplify both sides of the equation.

x =  77

Answer:

[tex]x - 7 > - 11 \\ x > 7 - 11 \\ \boxed{x > - 4}[/tex]

x>-4 is the right answer.

Original price of a camera: $649.50
Discount: 40%
What’s the selling price

Answers

389.70 and you save 259.80

Answer: The price of the cámara will be $389.7.

Step-by-step explanation:

PLEASE ANSWER QUICKLY!

Answers

Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

anyone tryna help -10-3(7-x)

Answers

-10-3(7-x)=

answer: -31+3x  that's what he gave me I hope I have helped you.

Calculate the total to be repaid on a loan of $4600.00 for 18 months at a
rate of 5%.​

Answers

Answer:

$4945

Step-by-step explanation:

the interest on the loan can be found by using this formula:

I = P · r · t     P = principal, r = interest rate, t= time (in years)

I = 4600(.05)(1.5)

I = 345

Total Amount = Principal plus Interest

Total Amount = 4600 + 345 = $4945

hurry please i’m taking a test!!!

Answers

Step-by-step explanation:

Since triangles ABC and DEF are congruent,

Angle D = Angle A.

=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.

Also side EF = side BC.

=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.

Answer: Y = 35, X = 27.8

Step-by-step explanation:

First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.

1. Which describes the transformation shown below? PLS HURRY HELP!!!
A. Reflection over the y-axis
B. Rotation 270° clockwise
C. Rotation 90 ° clockwise
D. Translation left

Answers

Answer:

C because i had this before and got it right

If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.

Answers

Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

Step-by-step explanation:

Given: One station plays every 12 minutes the other every 8 minutes.

The minimum time at which both stations have commercials  = lcm (12 and 8 )

12 = 2 x 2 x 3

8 = 2 x 2 x 2

LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24

The minimum time at which both stations have commercials  = 24 minutes

If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.

SOMEONE PLEASE HELP ME WITH THIS

Answers

Answer:

b

Step-by-step explanation:

I think its b I'm not sure but let me know if its wrong so I can improve

There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)

A) 35 B) 30 C) 16 D) 17

please show how

Answers

Answer:

Answer: 35

Step-by-step explanation:

five out  of every eight are carrying suitcases, so muiltiply  5/8 times 56 to get 35

please answer i will give brainliest

Answers

Answer:

B

Step-by-step explanation:

The rate at Randy's store is 1 gallon of gas for $3

The rate at Sarah's store is 1 gallon of gas for $2.80

So, Randy's store is more expensive.


11. The price of a bottle of water at a store decreases from $1.65 to $1.40. Rounded to the nearest
tenth of a percent, what is the percent decrease in the price of the bottle of water?
A. 15.2%
B. 17.9%
C. 45.9%
D. 54.1%

Answers

Answer:

A. 15.2%

Step-by-step explanation:

Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.

[tex]1.65-1.40=0.25[/tex]

The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.

[tex]0.25/1.65=0.152[/tex]

And then move the decimal place over two spots (multiply by 100)

15.2

Percent decrease in the price of the bottle of water is 15.2% (Approx.)

Given that;

Older price of bottle = $1.65

New price of bottle = $1.40

Find:

Percent decrease in the price of the bottle of water

Computation:

Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = 15.2% (Approx.)

Learn more:

https://brainly.com/question/10156335?referrer=searchResults

favorite food pizza35 hotdog30 hamburger 200 whta percatage is all student's count

Answers

Answer:

265

Step-by-step explanation:

200+30=230

230+30=260

260+5=265

Rebecca bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 3.6 inches, and the height is 4 inches. Rebecca wants to fill each box with 20 pieces of candy. If each piece of candy is 0.8 in.³, will Rebecca be able to fit 20 pieces of candy into each candy box?

Answers

Answer:

Yes maybe.

Step-by-step explanation:

Well basically if we find the volume of 20 pieces of candy in all, that would be= 20*0.8= 16 cu.inches

And then if we find the volume of the square based pyramid, that would certainly be= 3.6*3.6*4 that is 51.84

Then lastly, if we do, 51.84 ÷16 the final answer will be 3.24. Which might actually be the answer as the pieces of candy certainly can't pass the limit 20 according to me.

Help pls. Thank you

Answers

Answer:

[tex]\frac{1}{3}[/tex] feet

Step-by-step explanation:

The area of a rectangle is represented by the formula [tex]A = l[/tex] ×[tex]w[/tex], in which [tex]A[/tex] is the area, [tex]l[/tex] is the length, and [tex]w[/tex] is width.

Let's put in what we already know into the formula. We know that the area is [tex]\frac{5}{18}[/tex], so let's substitute that for [tex]A[/tex]. We know that the length is [tex]\frac{5}{6}[/tex], so let's substitute that for [tex]l[/tex]. This gives an equation that looks like this:

[tex]\frac{5}{18} = \frac{5}{6}[/tex] × [tex]w[/tex]

To find the width, all we need to do know is isolate [tex]w[/tex]:

[tex]w = \frac{5}{18}[/tex] × [tex]\frac{6}{5}[/tex]

[tex]w = \frac{30}{90}[/tex]

[tex]w = \frac{1}{3}[/tex]

Thus, the width is [tex]\frac{1}{3}[/tex].

A satellite flies 122070miles in 15.65hours. How many miles has it flown in 18.02 hours?

Answers

Answer:

answer

Step-by-step explanation:

A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.

Answers

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

slope , m = 3 .y -intercept , b =7

Answers

Answer:

The slope is 3 and the y-intercept is 7. The equation of the line is 3y - 7.

Step-by-step explanation:

The equation of the line works such that y = mx + b where m is the slope and b is the y-intercept. Thus,

slope = m

         = 3

y-intercept  = b

                   = 7

Don’t mind me just need to answer a question

pls help this is for math class​

Answers

Answer:

40

Step-by-step explanation:

i am not very good at explaining things but i am very good at math but i do hope this helps

Which is NOT a key feature of LaTeX: f\left(x\right)=\left(\frac{1}{4}\right)^x

Answers

The words don’t look right

Its substitution, and rearrangement you have to find x
y = 3x + 7 5x - 2y = -10​

Answers

Answer:

Step-by-step explanation: I dont know actually

You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest Your friend's account earns 4% simple annual interest. How long does it take for you to earn $20 in interest? How long does it take for your friend to earn $20 in interest?​

Answers

Answer:

The answers are 20 years for myself and 10 years for your friend

Step-by-step explanation:

I need help on how to write the whole format out but those are definitely the right answers.

Find the slope each line.
5)

Answers

Answer:

y=-3/4x + 2

Step-by-step explanation:

Since you already picked up the 2 points in the line, all we have to do is count the number of squares for the rise/run

To get the rise, you go down the first point by -3 (since you are moving down its negative 3) then for the run, you go right by 4 (Since you are moving right you get positive 4)

rise = -3

run = +4

y=mx+b

y = -3/4x + b

Now to find the y intercept, which is "b" in the equation above, you just look at the graph and find out where the y intercept is, in this case, I'd say its about 2.

y = -3/4x + 2

pls help i suck at math
what does x= for number 9 and 12​

Answers

Answer:

9. 1/7

12. 16.85

brainly and points :)

Answers

I’m pretty sure it’s B

Answer:

[tex]\mathrm{B.\:}408\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

The total surface area of this pyramid consists of four triangles and a square. We can add the area of each to find the total surface area:

[tex]4\cdot \frac{1}{2}\cdot11\cdot12+12^2=\fbox{$408\:\mathrm{ft^2}$}[/tex].

The measure of an arc is 95°. What is the measure of an inscribed angle that intercepts it?

Answers

It could be 190 because its a half measure                    

It could be 47.5 because the inscribed angle might be within the arc itself.

Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pound of rice. How many bags of rice can malcolm fill??

Answers

Answer:

part 1: Divide 5 1/4 pound by 5/8 pound

part 2: 8 bags

part 3: 2/5 of another bag

Step-by-step explanation:

total number of bags that can be filled equals total rice divided by the amount of rice per bag

=5 1/4 divided by 5/8

=(21/4)/(5/8)                   turn the mixed number into improper fraction

=(42/8)(5/8)                      common denominator

=42/5

=8.4 bags, but can only fully fill 8 bags

2/8 pounds of rice are left over after filling 8 bags, and 2/8 pounds is equal to

2/5 of another bag

(2/8)/(5/8)

=2/5                                simplify

Given that the hypotenuse of the isosceles right triangle
=
14
,

the length of each leg
=
14

2
=
7

2
Check :
(
7

2
)
2
+
(
7

2
)
2
=
196
=
14
2
(OK)

Find the product. Please

Answers

The correct answer is b.

Thank me by clicking the ❤️. Thanks!

Frank made $80 for 5 hours of work,
At the same rate, how much would he make for 17 hours of work?

Answers

Answer:

$272

Step-by-step explanation:

We're going to make an equation

we'll make x hours

5x=80

solve for x and you get 16 dollars an hour

16 times 17 is 272

The answer will be 272$ because 80 divided by 5 equals 16 and 16 times 17 equals 272
Other Questions
Applying a force for a longer time increases the change in(select all that apply)WeightGravityVelocityMassMomentum In Mr. Layden's class, three studentsbrought in their baseball cardcollections. For their threecollections, the mode was 126 andthe range was 26. What are twopossibilities for the number of cardsin each student's collection? What is the equation of the line that has a slope of 1/3 and goes through the point (6,2)? A. y = 1/3x 4B. y = 1/3x + 4C. y = 1/3x 8D. y = 1/3x Please help! Ill give BRAINLIEST and show ur work please what are two things that geostationary operation environmental satellites ( GOES ) can do A. collect data on moisture and temperature B. observe earth radar signals C. fly into the eye of a tornado or hurricaneD. take pictures while orbiting earth no one answer this because the answers are A and D what is x ? pleasee help !!! The sum of 5 times one number, x, and 4 times a second number, y, is 87. If the sum of the two numbers is 20, find the two numbers. Pls hurry need it before schools is over (hint will mark brainiest) Why would fog dispersion be useful? PLS PLS HELP!! IM TIMED A bear cub walks5/6 miles in 5/12agehours. What is itsspeed in terms of miles per hour? Suppose you are shooting a basketball toward a hoop. As the ball rises in the air, its ---------------- energy increases and its ---------------------------- decreases. Match the following definitions with the correct term Help me revise my intro paragraph does this graph represent a function? if yes why? Test populations are studied. Population one is found to obey the differential equation dy1/da=o.2y1 and the population two obeys dy2/da = -0.3y2 , where t is the time in years? Which population is growing and which is declining 21 points! Please select the word from the list that best fits the definition:The everyday language people speak in a regionOptions:1. Humanism 2. William Shakespeare 3. Johannes Gutenberg4. Vernacular5. Leonardo da Vinci omg someone do these for me and ill give brainliest please im rushing What are the differences between the Arctic andAntarctic Regions * when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression? need help asap, pleasewill give brainly