4. An angle is 50° more than its supplement. Find the angles.

Answers

Answer 1

Answer:

The angles measure [tex]65[/tex]° and [tex]115[/tex]°.

Step-by-step explanation:

Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for

[tex]x+x+50=180[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x+50=180[/tex]

[tex]2x+50=180[/tex] (Simplify LHS)

[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]2x=130[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=65[/tex]

Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!


Related Questions

Find the value of x.

Answers

Step-by-step explanation:

(3x+24)°=(8x-11)°

24+11=8x-3x

35=5x

x=7

A faucet fills 1/3 of a water cooler in 1/12 of an hour At this rate how long does it take the faucet to fill the cooler completely

Answers

Answer:

[tex]\frac{1}{4}\:\mathrm{of\:an\:hour\: or\:}15\:\mathrm{minutes}[/tex]

Step-by-step explanation:

If the faucet fills [tex]\frac{1}{3}[/tex] of the water cooler in [tex]\frac{1}{12}[/tex] of an hour, then it will take the faucet [tex]\frac{1}{\frac{1}{3}}\cdot \frac{1}{12}=3\cdot\frac{1}{12}=\fbox{$\frac{1}{4}$}[/tex] of an hour to fill the faucet completely.

The range of the function is to because 4x is always positive. On a coordinate plane, an exponential function approaches the x-axis in quadrant 2 and increases exponentially in quadrant 1.

Answers

Answer:

The RANGE of the function is

✔ ZERO

to

✔ POSITIVE INFINITY

because 4x is always positive.

PLZ MARK AS BRAINLIEST:):):)

ALSO THANK AND FIVE STARE.

Answer:

B. Zero, C. Positive infinity

B, C

Step-by-step explanation:

Given: CD = 1, and
Find the elements of D.
a
a =
-2 4 1
C = 1 0 3
- 2 3 -1
»E
a b
D= d e
19
h
f
i
b=
CE
d=
DIUIIIII
e =
f =
g=
h =

Answers

Answer:

1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.

Suggestions:

Step-by-step explanation:

1, and Find the elements of D. a a = -2 4 1 C = 1 0 3 - 2 3 -1 »E a b D= d e 19 h f ... - did not match any documents.

Suggestions:

Answer:

a=-9

b=7

c=12

d=-5

e=4

f=7

g=3

h=-2

i=-4

Step-by-step explanation:

Don't forget to add the negative signs on a, d, h, and i

Edg 2020-2021

PLLSS HELP ME ty :)))

Answers

I think its 210 ≤ t

Please help me with this question

Answers

Step-by-step explanation:

y-intercept in the point x = 0

B) is the easiest

g(x) or y value

g(x) = 3x² + 6x -9

= 3(0)² + 6(0) -9

= 0 + 0 -9

= -9

y-intercept = (0,-9)

A town park has two biking trails. Marsh trail is 5 3/10 Miles long . Woodland Trail is 2 4/5 Long. How much longer is Marsh trail than woodland trail?

Answers

Answer:

3 1/5 i think srry if im wrong

Step-by-step explanation:

A builder needed to buy one hundred fifty-four boards for his latest project. If the board he needs comes in packs of three, how many packets will he need to buy

Answers

Answer:

51.3 packets or 51 1/3 packers

Step-by-step explanation:

From the above question:

The board he needs comes in packs of three. This means

1 pack = 3 boards

Hence:

3 boards = 1 packet

154 boards = x

Cross Multiply

3x = 154

x = 154/3

x = 51.333333333 packets

Approximately = 51.3 packets or 51 1/3 packers

The builder will need to buy 51.3 packets or 51 1/3 packers

A small box holds 20 shirts. A large box holds 165% as many shirts as than a
small box. How many shirts does the large box hold?

Answers

Answer:

33 shirts

Step-by-step explanation:

100% of 20 = 20

65% of 20 = 13

total = 33

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estimation? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Answers

Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

I need help ASAP! JUST GIVE ME THE ANSWER!

How much of the circle is shaded? Write your answer as a fraction in simplest form.

4/7 and 1/3​

Answers

Answer:12/7

Step-by-step explanation:

4/7÷1/3=12/7

Choose the definition for the function.

Answers

Answer: C

Step-by-step explanation:

help please will mark branniest
thanks :)

Answers

Answer:

the first one is the 2 method for cpm and the second one is to seperate the other variable. the last one is say its a combination of both removing zeros and balanced sets. hope this helped :)

will give brainliest please help:)

Simplify:
-3-8(-5x - 1)​

Answers

Answer:

5+40x

Step-by-step explanation:

I hope this helps. Best of luck.

Answer:

-11 times by -6x

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is y=3x + 4?​

Answers

Answer:

The slope of any line parallel to y=3x+4 would be 3!

Step-by-step explanation:

When lines are parallel, they always have the same slope!

When lines are perpendicular, the slope would be the negative reciprocal!

I hope this helps!

I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)

Answers

Answer:

x>2

Step-by-step explanation:

0<7x-14

-7x<-14

x>2

hope that's right

Answer:

x > 2

Step-by-step explanation:

-x < -x+7(x-2)

0 < 7(x-2)

0 < x-2

x > 2

(edited)

Please help me!!!!!!

Answers

Answer:

I am sorry but this is too difficult

Step-by-step explanation:

I recommend asking a teacher for help not to be rude

Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)

Answers

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

There are 1,200 bacteria in a lab dish. The population decreases 10% per day. Compare the decrease in the population for days 1 to 3 with the decrease for days 4 to 6.

Complete the sentence with “more quickly,” “less quickly,” or “at
the same rate.”

The population decreases [ Select ] from day 1 to day 3 than from day 4 to day 6.

Answers

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The total number of bacteria in lab dish is 1200

The population decreases 10% per day

In first day:

10/100×1200=120

120 bacteria decreased in lab

1200-120=1080

In second day:

0.1×1080=108

1080-108=972

In third day

0.1×972=97.2

972-97.2=874.8

In fourth day

0.1×874.8=87.48

874.8-87.48=787.32

In fifth day

0.1×787.32=78.732

787.32-78.732

708.588

The population decreases more quickly from day 1 to day 3 than from day 4 to day 6.

Hence, the population decreases  more quickly from day 1 to day 3 than from day 4 to day 6.

To learn more on Percentage click:

brainly.com/question/28269290

#SPJ1

Need help with this?

Answers

Answer:

Half of the possible choices as far as I know are not shown in the picture but your answer should be the graph that is 5 units down than the center of the graph.

10. The test was worth 100 points. There were 28 problems on the test. Some of the
problems were worth 3 points and others were worth 5 points. How many of each were
there?

Answers

Answer:

There are 20 3-point questions and 8 5-point questions

Step-by-step explanation:

x=3 point y=5 point

x+y=28 ----> x=28-y

3x+5y=100

3(28-y)+5y=100

84-3y+5y=100

84+2y=100

2y=16

y=8

28-8=20

Answer:

20 3-point questions and

8   5-point questions.

Step-by-step explanation:

Let there be x 3 point problems and y 5 point problems. So we have:

x + y = 28              Multiply this equation by -3:

-3x - 3y = -84

3x + 5y = 100       Adding the last 2 equations:

0 + 2y = 16

y = 8

So x = 28 - 8 = 20.

Help me with math please

Answers

Answer: 464

Step-by-step explanation:

A poodle puppy weighs 1.5 kg when it is born and gains 0.04 kg each day.
A golden retriever puppy weighs 1.2 kg when it is born and gains 0.1 kg each day.
How many days will it take for the two puppies to weigh the same amount?

Answers

Answer:

down below

Step-by-step explanation:

you need to find the greatest common multiple

sorry, i am really tired rn and can't solve it

but maybe one of the dogs becomes anorexic and then they will never weigh the same?

Answer:

333333324.442

Step-by-step explanation:

A poodle puppy weighs 1.5 kg when it is born and gains 0.04 kg each day.

A golden retriever puppy weighs 1.2 kg when it is born and gains 0.1 kg each day.

How many days will it take for the two puppies to weigh the same amount

Rewrite the explicit formula in function form. The identify the y
intercept of the function.
an = 9-3(n-1)

Answers

Answer: y-intercept: (0, 12)

Step-by-step explanation:

[tex]a_n[/tex] = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

  The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

     y = mx + b

  Find the values of m and b using the form y = mx + b.

     m = −3

     b = 12

  The slope of the line is the value of m, and the y-intercept is the value of b.

     Slope: −3

     intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

  Find the x-intercept.

     To find the x-intercept(s), substitute in 0 for y and solve for x.

        0 = −3x + 12

      Solve the equation.

        Rewrite the equation as −3x + 12 = 0.

              −3x + 12 = 0

         Subtract 12 from both sides of the equation.

              −3x = −12

         Divide each term by −3 and simplify.

              x = 4

     x-intercept(s) in point form.

     x-intercept(s): (4, 0)

  Find the y-intercept.

     To find the y-intercept(s), substitute in 0 for x and solve for y.

        y = −3 ⋅ 0 + 12

   Solve the equation.

     Remove parentheses.

           y = −3 ⋅ 0 + 12

       Simplify −3 ⋅ 0 + 12.

           y = 12

     intercept(s) in point form.

     intercept(s): (0, 12)

  Create a table of the x and y values.

      x | y

     0 | 12

     4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

Hey guys can you help me with these im kinda busy and dont feel like doing them

Answers

Answer:

yes Whyy?

Step-by-step explanation:

walalang Sagot mo yan HAHAHAHAH

Answer this please will give brainliest

Answers

Answer:

answer is 4

Step-by-step explanation:

Answer:

I can't see it well, some part of the question cut out. I suggest you to delete this question and make a new one so we can see it better, and be able to help

Step-by-step explanation:

One solution to a quadratic equation is x = -2i
What is the other solution?

Answers

I believe it would be x=2i

:)

y = -2/3 x in standard form

Answers

Answer: y = -2/3x in standard form is 2x + 3y = 0

Answer:

x + y = -2/3

Step-by-step explanation:

When changing something to standard form, you want all variables on one side, and the remaining numbers gone.

A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS

Answers

Answer: $32.38

Explanation:

64.75 = 100%

So that mean 50% would be half of 64.75

64.75 ÷ 2 = 32.375

) What are the solutions of -1<=x-3<4 ?​

Answers

The solutions are 1!42
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