Among two supplementary angles the measure of the larger angle is 400 more than the

measure of the smaller. Find their measures.

Answers

Answer 1

9514 1404 393

Answer:

  70° and 110°

Step-by-step explanation:

The sum of angles is 180°; their difference is 40°. So, the larger is ...

  (180° +40°)/2 = 110°

The smaller is 180° -110° = 70°

The two angles are 70° and 110°.

_____

Above, we have "cut to the chase." If you let the larger be 'a' and 's' and 'd' represent the sum and difference, you have ...

  a + (a-d) = s . . . . the sum of the larger and smaller angles

  2a = s+d . . . . . .  add d

  a = (s+d)/2 . . . . the relation we used.


Related Questions

How do I solve? Or what is the answer for this?

Answers

Notice that the square root is accompanied with ^2 and can be simplified:

This works because 4x^4 = (2x^2)^2

[tex]\sqrt{(2x^{2})^{2} * (256y^{8})^{2} }[/tex]

Remove the square root:

[tex]2x^{2} (256y^{8} )[/tex]

Calculate the product:

[tex]512x^{2} y^{8}[/tex]

This is your answer after simplification.

The pool is partially filled with water. The volume of the water in the pool is 45 ft3. How deep is the
water?

A.)0.5 ft
B.)1.5 ft
C.)2.5 ft
D.)3.5 ft

Answers

C.)2.5 ft

it's just a guess

C 2.5 it’s the one that should be right

Graph the image of rectangle STUV after a reflection over the line y= –x

Answers

Answer:

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Step-by-step explanation:

The image of the rectangle STUV after a reflection over the line y= –x is attached below.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The coordinates of the points in the graph are S(-9,-10) , T(-1,-110) , U(-1,-7) , V(-9,-7)

We have to graph the image of the rectangle STUV after a reflection over the line y= –x

The points obtained after graphing ate,

U (7,1)

T (10,1)

V (7,9)

S (10,9)

Thus, the image of the rectangle STUV after a reflection over the line y= –x is attached below.

Learn more about the geometric transformation here:

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The Hiking Club is taking another trip. The hike leader's watch shows that they gained
296 feet in altitude from their starting position. Their altitude is now 285 feet, but there is
no record of their starting altitude,
Which equation represents this situation?

A: x + 285 = 296
B: x - 296 = -285
C: x + 296 = 285
D: x- 285 = - 296

Anyone available I been trying to get the answer for this assignment :(

Answers

Answer:

c

Step-by-step explanation:

they started at x added 296 and now are at 285

Answer:

-987

Step-by-step explanation:

please help. i will give brainliest

the question is in the picture below


A) There is an asymptote at y = 70.

B) The y-intercept is located at (0, 70).

C) There is an asymptote at x = 0.

D) The x-intercept is located at (70, 0).

Answers

Answer:

B. The y-intercept is located at (0,70)

Step-by-step explanation:

This is because 70 is on the y part of table. Hope this helps!

A cookie jar starts off with 32 cookies in it, and
each day 2 cookies are eaten. After a certain
number of days, there are 14 cookies left in the jar.
Which of the following equations represents the
day, d, when there are 14 cookies in the jar?

Answers

Answer:

9 days

Step-by-step explanation:

32-2-2-2-2-2-2-2-2-2 = 14

The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

Initial cookie = 32

Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.

Remaining cookies = initial cookies - eaten cookies

Remaining cookies  = 32 - 2d

The day when 14 cookies remain will be,

14 = 32 - 2d

2d = 32 - 14

d = 9

Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".

For more about the equation,

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PLS HELP QUICK !!!!!!!

what is the area of this figure?

Answers

Answer:

... what figure?

Step-by-step explanation:

you forgot to add a picture

Answer:

ummmm what...?........

X, Y and Z form the vertices of a triangle with area 59.7cm2. If XZ = 21.5cm and XY = 13.5cm, work out the acute angle ∠YXZ. Round to 1 DP.

Answers

Answer: The acute angle ∠YXZ = 24.3°.

Step-by-step explanation:

If in triangle ABC, C is the angle included between sides a and b then

Area of triangle = [tex]\dfrac12a\cdot b\cdot sin C[/tex]

here, XZ = 21.5cm and XY = 13.5cm are sides that includes acute angle ∠YXZ..

Area of a triangle = 59.7cm²

then, as per given, we have

[tex]59.7=\dfrac12(21.5)(13.5)\ \sin X\\\\\Rightarrow\ 59.7=145.125\ \sin X\\\\\Rightarrow\ \sin X = \dfrac{59.7}{145.125}\\\\\Rightarrow\ \sin X =0.41137\\\\\Rightarrow\ X = \sin ^{-1}(0.41137)\approx24.3^{\circ}[/tex]

Hence, the acute angle ∠YXZ = 24.3°.

Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?

Answers

Answer:

g5654

Step-by-step explanation:

7.1 added to a number equals 10.3?​

Answers

The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.

A pair of shoes are on sale, they are marked 40% off. The discount is equal to 20 dollars, what is the original price of the shoes

Answers

Answer:

$44

Step-by-step explanation:

You are going on an expedition to dig for dinosaur fossils. In digging you come across a small trunk left by another archeologist. In the trunk is a paper that lists how deep you need to dig to reach dinosaur fossils. Unfortunately, something spilled on part of the paper and it is damaged.
Using your knowledge of mathematics, find the missing numbers in the
chart. Write a generalization or rule to determine any number of feet you
must dig given the number of years.

If the Jurassic period was 200 million years ago, how deep would you need
to dig at this location to uncover fossils of that era? Explain why your
answer is or is not reasonable.

Answers

Answer:

200,000 feet to dig

Step-by-step explanation:

We use a ratio for this problem

30,000         200,000,000

-----------   =   ---------------------

30                        x

200,000,000 * 30

----------------------------  = 200,000 feet to dig

30,000

This answer is reasonable because 200,000,000 years ago was a long time ago so then the person must dig a reasonable amount of dirt. So then 200,000 feet is reasonable.

4(x + 3) = 3(3x - 1)​

Answers

Answer:

Either 4x+12 ≠ 9x-3 OR x = 3

Hope this helps!! (Please mark Brainliest if possible!!)

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]4(x+3)=3(3x-1)[/tex]

Distribute 4 and 3 into the parentheses

[tex]4x+12=9x-3[/tex]

Combine like terms; subtract both sides by 12

[tex]4x+12-12=9x-3-12\\4x=9x-15[/tex]

Combine like terms; subtract both sides by 9x

[tex]4x-9x=9x-15-9x\\-5x=-15[/tex]

Divide both sides by -5 to isolate x

[tex]\frac{-5x}{-5} =\frac{-15}{-5} \\x=3[/tex]

I hope this helps!

What’s the radius of a circle with the circumference of 37.68 feet

Answers

Answer:

r≈6ft

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=37.68

2·π≈5.99696ft

pls mark as brainliest

Find the measure......

Answers

Answer:

the answer would be S/ 2= 140/ 2 = 70°

The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?

Answers

The amount paid for different weights of oranges at a farmer's market are shown below (A) is the relationship between the price and the weight of the oranges proportional?

Oranges (lb) Price ($)

2--------- $3

3--------- $4.50

5--------- $7.50

Answer:

proportional relationship. Exist

Step-by-step explanation:

To check for propottionality:

2 = 3k

Solve for k = constant of proportionality

2/3 = 3k/3

2/3 = k

Quantity at price = 4.50

Price * k = quantity

4.50 * 2/3 = 3

Quantity at price = 7.50

Price * k = quantity

7.50 * 2/3 = 5

Hence, proportional relationship. Exist

el area de un rectangulo es 84 cm cuadrados si la base mide 9 cm cuanto mide la altura y cual es su perimetro?​

Answers

Si pero no pero hello en ese yo tu pero ella es un loca

Can anybody help me please? it’s a major and i’m very confused.

Answers

Variable sorry if I am late

[tex]4x\leq 12[/tex]

Answers

Divide each term by  

4

and simplify.

Inequality Form:

r ≤ 3

Interval Notation:

( − ∞ , 3 ]

Hope this helps!!! Lol

The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million​

Answers

Answer:

Answer:

Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x

Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)

Step-by-step explanation:

Question 1

Budget surplus in 2010 =

Budget surplus in 2011 =

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

Budget surplus in 2011 ≅ $

Step-by-step explanation:

What type of answer would you expect from the problem below? Explain why you expect that type of answer.
5/6 + 9.25

A) Rational; Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number.
B) Irrational; Both numbers can be written as fractions, so the answer will be a fraction, which is an irrational number.
C) Rational; One number is a fraction and the other is a decimal, so they are not like terms and cannot be combined.

Answers

I don’t really understand this question can you go more into detail

Answer:A

Step-by-step explanation:

Edge 2020

HELPPPPP HELLPPPPPP Plsss

Answers

Answer:

1) -5

2) 21

3) 60

4) -52

5) -12

6) 31

7) -16

8) -27

9) 5

10) -11

11) 16

12) -24

13) 11

14) -36

15) 2

16) 36

17) -31

18) -48

19) -24

20) -21

If sin (x) =2/5 and tan(x) > 0, what is sin(2x)?


Answers

Answer:

sin2x = [tex]\frac{4\sqrt{21} }{25}[/tex]

Step-by-step explanation:

Given sinx = [tex]\frac{2}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

Then the third side, the adjacent is found using Pythagoras' identity, that is

adj² + opp² = hyp²

adj² + 2² = 5²

adj² + 4 = 25 ( subtract 4 from both sides )

adj² = 21 ( take the square root of both sides )

adj = [tex]\sqrt{21}[/tex] , then

cosx = [tex]\frac{adj}{hyp}[/tex] = [tex]\frac{\sqrt{21} }{5}[/tex]

Using the double angle identity

sin2x = 2sinxcosx

         = 2 × [tex]\frac{2}{5}[/tex] × [tex]\frac{\sqrt{21} }{5}[/tex]

         = [tex]\frac{4\sqrt{21} }{25}[/tex]

Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.

Answers

Answer G. 99/36= 11/4x

Solve for the volume of the 3D shape.

27 m3

27

180 m3

180m

360 m3


360 m

Answers

Answer:

360 m3

Step-by-step explanation: just multiply 18m times 5m times 4 m then you get your answer :)

hope this helps :D

Answer:

360 m3

Step-by-step explanation:

Make the other guy brainlist cuz he helped me. :p

A rectangle has a length of (x + 6) units and a width of (x - 5) units. What is the area of the rectangle in terms of x?

Answers

Answer:

Area = x2 +x - 30

Step-by-step explanation:

area = length x width

(x+6) (x-5) = x2 +6x -5x -30  =  x2 + x -30

4x-4=4x + ___
What is the answer

Answers

Answer:

-4

Step-by-step explanation:

4x - 4 = 4x + ?

-4

4x - 4 = 4x + (-4) ---> 4x - 4 = 4x - 4

done

Answer:

it should just be-4

The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width

Answers

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards

Will give Brainly! Please help!

Answers

Answer:

The answer is option c.

Hope this helps!

Taylor is decorating for a party. She cuts 5 equal-length streamers from a strip of yellow paper that is 9 feet long. How long is each streamer in fraction form?

Answers

Answer: 1 4/5 feet

Step-by-step explanation:

Length of the strip of yellow paper = 9 feet.

Number of streamers that were cut = 5

Length of each streamer will then be:

= Length of the strip of yellow paper = 9 feet / Number of streamers that were cut

= 9 feet / 5

= 1 4/5 feet

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