Two angles are supplementary if their sum is​ 180°. The larger angle measures six degrees more than five times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are​ supplementary, find the measure of each angle.

Answers

Answer 1

Step-by-step explanation:

smaller is X

larger is 6X

Their sum is 180

X + 6x = 180

7x = 180

x = 25.7142

The smaller angle is 25.7142

The larger angle is 154.2857142857


Related Questions

Anna put 2500 in the bank and left it for 2 years. At the end of the 2 years she found that she had 2700. What is the annual rate percent paid by the bank

Answers

Answer:

rate percent paid by the bank

=2700-2500

=200

The quotient of a number and the sum of the number and eight. Can someone please help me with translating that!! it'd mean a lot!!!

Answers

Answer:

6

——

x+8

Step-by-step explanation:

simplify 2(3)(3)-2(3)(3)​

Answers

Answer:

the answer is 0

Step-by-step explanation:

Find the value of x, then find EF.
X=
EF=

Answers

Hi I hope u have a great time ...

CD = FE

thus :

[tex]3x + 5 = 7x - 39[/tex]

Add both sides 39

[tex]3x + 5 + 39 = 7x - 39 + 39[/tex]

[tex]3x + 44 = 7x[/tex]

Subtract both sides 3x

[tex]3x - 3x + 44 = 7x - 3x[/tex]

[tex]44 = 4x[/tex]

Switch sides

[tex]4x = 44[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]

[tex]x = 11[/tex]

There u go have a great day ♡

Solve the equation: 10x – 11 = 7x + 22

Answers

10x - 11 = 7x + 22

10x - 7x = 22 - 11

3x = 11

x = 11/3

x = 3.66

_____

RainbowSalt2222 ☔

Alex spends 40 minutes on his paper route every day. If he earns $6 a day from his paper route, how much does he get paid per hour?

Answers

Answer:

$9

Step-by-step explanation:

There are 60 minutes in an hour, and you have to multiply 40 by 1.5. Doing this, you would also have to multiply $6 by 1.5, getting $9 per hour.

He would get paid 9$

Help, plz! Math. TYSM IF U DO!

Answers

Answer: 1/16

Step-by-step explanation: ur right:)

4. If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find h[f(4)].

Answers

Step-by-step explanation:

f(x) = x²

g(x) = 5x

h(x) = x + 4

= h[f(4)]

= x + 4

= f(4) + 4

= (4)² + 2

= 16 + 2

= 18

h[f(4)] = 18

Find its base and height

Answers

Area of parallelogram = 96 square miles

Base = x + 5

Height = x - 5

[tex]x + 5 \times x - 5 = 96 \\ 2x - 0 = 96 \\ x = \frac{96}{2} \\ x = 48[/tex]

Height = 48 - 5 = 43

Base = 48 + 5 = 53

A linear function contains the points (-3, -7) and (6,-4). Which of the following points does it also include?
A.(-9,3)
B.(3,-6)
C.(12,2)
D.(9,-3)

Answers

The given points defines a line from which the linear function can be

determined and the included point on the line can be found.

The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]

Reasons:

The given points on the linear function are; (-3, -7), (6, -4)

The slope of the line is given as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we get;

[tex]Slope, \, m =\dfrac{-4-(-7)}{6-(-3)} = \dfrac{1}{3}[/tex]

The equation of the function is therefore;

[tex]y - (-4) = \dfrac{1}{3} \cdot (x - 6)[/tex]

[tex]y = \dfrac{x}{3} - 6[/tex]

Graphing the above equation on the calculator gives the points;

(-9, -9), (3, -5), (12, -2), and (9, -3)

Therefore;

The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]

Learn more here:

https://brainly.com/question/2116490

Explain solving Slope

Answers

ratio of vertical change between 2 points

The stem and leaf diagram shows the ages of people in a cinema.
2 1 3
Key: 2 1 represents 21 years
3 0 2 2 5
4 3 4 6 8 9 9
5 0 2 2 3 5
a) What is the range of ages? Iyears
b) How many people are represented in the diagram?
people
c) What is the median age?
years old

Answers

Answer:

A 34

B 17

C 47

Step-by-step explanation:

n = 8
measurements: 4, 3, 6, 7, 5, 5, 4, 6
Calculate the mean.

Answers

Answer:

5

Step-by-step explanation:

mean=4+3+6+7+5+5+4+6/8mean=40/8mean =5
the mean is calculated by adding the scores together and then dividing by the number of scores you added. 4+3+6+7+5+5+4+6=40
40/8= 5. The mean is 5

8.
Write an equation in point-slope form for the line through the given point with the given slope.

(4, –6); m = 3/5

A. y - 6 = 3/5 (x+4)

B. y - 4 = 3/5 (x+6)

C. y + 6 = 3/5 x-4

D. y + 6 = 3/5 (x-4)

Answers

Answer:

D. y + 6 = 3/5 (x-4)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = 3 /5 x − 42 /5

Point-slope form:  y + 6 = 3 /5 ⋅ ( x − 4 )

Rewrite the fraction in the sentence below as a percentage.

The 15 overseas investors own 23/25 of the business.

Answers

Answer:

92%

Step-by-step explanation:

dani uses cotton balls to make snow men for an art project. dani has 14 cotton balls, and she uses 3 cotton balls to make each snow man.dani makes as many as she can.how many snowmen does dani make

Answers

Using the appropriate arithmetic operation, the number of snowmen Danny makes is 4

Total number of cotton balls = 14

Number of cotton balls per snowmen = 3

Creating a proportional relationship thus :

3 cotton = 1 snowman

14 cotton balls = x

Cross multiply

3x = 14

Divide both sides by 3

3x/3 = 14/3

x = 4.667

Hence, the number of snowmen that can be made is 4

Learn more : https://brainly.com/question/25644130

Answer:

4

Step-by-step explanation:

What is the slope of this line?

-2/3

2/3

3/2

I don’t know

Answers

2/3 I think is the answer

Answer: 2/3

Step-by-step explanation:

What is another way to write (-2/3)(-2/3)

Answers

ANSWER: 4/9

EXPLANATION: bottom is the same and top two negatives equal a positive...next multiple across and it’s 4/9

Answer:

[tex](-\frac{2}{3}) ^2[/tex]

Step-by-step explanation:

Since -2/3 is getting multiplied twice, we can write this as an expression with an exponent:

[tex]-\frac{2}{3}^2[/tex]

I hope this helps.

Side Note: If we evaluated the expression we would get 4/9.

[tex]-\frac{2}{3}^2\\\\1\frac{2^2}{3^2}\\\\\frac{4}{9}[/tex]

HELP PLEASE!
what are the solutions of the equation (x-2)^2=3x+6

Answers

Answer:

  B.  x -2

Step-by-step explanation:

The factors of (x -2)^2 are (x -2), twice.

The factors of -3x +6 are -3 and (x -2):

  -3x +6 = -3(x -2)

The expression that is a factor of both is ...

  x -2

which expressions are equivalent to 4^-2 times 7^-2

Answers

Step-by-step explanation:

[tex] = {4}^{ - 2} \times {7}^{ - 2} [/tex]

[tex] = {(4 \times 7)}^{ - 2} [/tex]

[tex] = {28}^{ - 2} [/tex]

[tex] = \frac{1}{ {28}^{2} } [/tex]

please help me thank you

Answers

Answer:

Here's how I'd do it

Step-by-step explanation:

The function g(x) = x is transformed to obtain function h:
h(x) = g(x) + 1.
which statement describes how the graph of his different from the graph of g?
OA. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted up 1 unit.
Ос.
The graph of h is the graph of g horizontally shifted right 1 unit.
D. The graph of h is the graph of g vertically shifted down 1 unit.
Reset
Next

Answers

Answer:

B. The graph of h is the graph of g vertically shifted up 1 unit.

Step-by-step explanation:

What is the surface area of these cuboids?

Answers

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
O x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
O 5x + y = 29, 2y + x = 100
O 2x + y = 100, 5y + x = 29
h

Answers

Answer:

x + y = 29, 5x + 2y = 100 is the answer

Step-by-step explanation:

it IS the answer so the next person, DON'T TRY TO TAKE IT DOWN!!!!!!!

i need help on this if anyone doesn't mind also very bad camera​

Answers

Answer:

F:20%

Step-by-step explanation:

Hope it helps

What is the range of the function y= 2e7-1?

Answers

Answer:

The range of y = ex is all numbers greater than 0, so since the function has been shifted up 1, the new range of the function is all numbers greater than 1. Since the argument of any log must be greater than 0, (x-1)/2 > 0. Thus x - 1 > 0, so x > 1

Answer:

defines the set of values [ 1, 2, 3, 4, 5 ], and the range

1 : 3 : 5

defines the set of values [ 1, 4 ].

Although a range constant specifies a row vector, Octave does not normally convert range constants to vectors unless it is necessary to do so. This allows you to write a constant like 1 : 10000 without using 80,000 bytes of storage on a typical 32-bit workstation.

A common example of when it does become necessary to convert ranges into vectors occurs when they appear within a vector (i.e., inside square brackets). For instance, whereas

x = 0 : 0.1 : 1;

defines x to be a variable of type range and occupies 24 bytes of memory, the expression

Please help me!!! I will try to give brainliest!!

Answers

Answer:

_4 to 4 from the number line

QUESTION TWO Determine whether or not a constant function can be
(a)one-to-one.
(b)an onto function. [10 marks]​

Answers

Answers:(a) It is never one-to-one(b) It is never onto

=========================================================

Explanation:

The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.

Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.

----------------------------

The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.

With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.

Find the domain and range of the function f(x) = sqrt(2 - x - x ^ 2) .​

Answers

Answer:

See below

Step-by-step explanation:

Given function:

[tex]f(x) = \sqrt{2 - x - x ^ 2}[/tex]

As any square root function, its range is all non-negative numbers:

f(x) ≥ 0 or f(x) ∈ [0, +∞)

The domain the x values when the expression under root is non-negative:

2 - x - x² ≥ 0x² + x - 2 ≤ 0(x + 2)(x - 1) ≤ 0- 2 ≤ x ≤ 1

or

x∈ [-2, 1]



A tower that is 128 feet tall casts a shadow 163 feet long. Find the angle of elevation of the sun to the nearest
degree.
The angle of elevation is
degrees. (Round to the nearest degree.)

Answers

Tan(angle) = opposite/ adjacent

Tan(angle) = 128/163

Angle = arctan(128/163)

Angle = 38.14 degrees

Rounded to nearest degree = 38 degrees.

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