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

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.

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:

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

Find the product. Please

Answers

The correct answer is b.

Thank me by clicking the ❤️. Thanks!

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

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

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.

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.

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].

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

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

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

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.

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

Answers

Answer:

9. 1/7

12. 16.85

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.

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

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)

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

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:

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.

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

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:

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 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

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

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

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.


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

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.

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