The measure of an angle is seventy-one times the measure of its supplementary angle. What is the measure of each angle?


Answers

Answer 1

Answer:

The measures are 2.5 deg and 177.5 deg.

Step-by-step explanation:

The ratio of the measures of larger angle to the smaller angle is 71:1.

71k + k = 180

72k = 180

k = 180/72

k = 2.5

71k = 71 * 2.5 = 177.5

Answer: The measures are 2.5 deg and 177.5 deg.


Related Questions

which rational number does not have a reciprocal

Answers

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is 7pi/12. The graph of the function does not show a phase shift. What is the equation of the cosine function described?

Fill in the blanks using values from this list: -20, -11, -9, -2, 2, 9, 11, 20, 7pi/12,12pi/7,7/24,24/7

f(x)=___cos(_____x)______

Answers

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,

A = Amplitude,

[tex]\frac{2\pi}{b}[/tex] = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].

Let us find the value of b.

[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]

[tex]7\pi\cdot b=24\pi[/tex]

[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]

[tex]b=\frac{24}{7}[/tex]

Upon substituting our given values in general cosine function, we will get:

[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]

Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].

Mrs.Garcia is making bread using a total of 400 grams of gluten free flour.The recipe calls for 70% of the flour to be almond flour. She needs to know how much almond flower to use.

Answers

Answer:

She needs 280 grams of almond flour.

Step-by-step explanation:

This question can be solved using a rule of three.

400 grams is 100% = 1. How much is 70% = 0.7?

400 grams - 1

x grams - 0.7

x = 400*0.7

x = 280

She needs 280 grams of almond flour.

Answer:

120g

Step-by-step explanation:

70% of flour in 400g is expressed as

= 70/100×400

=0.7×400

=280g

Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is

=400g-280g

=120g

Thus, Mrs Garcia requires 120g of almond flour

You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?

Answers

Answer:

i need this answer too someone please answer lol

Convert 7/6 to a mixed number

Answers

7 out of 6 ymto a mixed number is

1¹/6

At a furniture store there is a sale on kitchen tables and chairs. Single chairs sell $80 each. If a customer a set of 4 chairs, the total price would. be $250. What is the percent savings on the 4-chair set? Round to the nearest whole percent.

Answers

Answer:

4%

Step-by-step explanation:

1% of 250 is $2.50. Times 4 is $10. The difference between 240 and 250 is 10.

Answer:

235

Step-by-step explanation:

A package of books weighs 72 ounces. What is the weight of the package in pounds?

Answers

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

Stephen uses \dfrac{2}{25}

25

2



start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1

10

1



1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.

How many servings can Stephen make?

Answers

Answer:

[tex]13\dfrac{3}{4}$ servings[/tex]

Step-by-step explanation:

Stephen uses [tex]\dfrac{2}{25}[/tex] kilograms of tofu in each serving of his dish.

He has [tex]1\dfrac{1}{10}[/tex] kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

[tex]\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings[/tex]

Stephen can make [tex]13\dfrac{3}{4}$ servings[/tex] .

The function f (t) =-16t^2 = 576 represents the height of a freely falling ballast bag that starts from rest on a ballon 576 feet above the ground. After how many seconds t does the ballast bag hit the ground.

Answers

Answer:

The ballast bag hits the ground after 6 seconds.

Step-by-step explanation:

Suppose there was a small typing mistake.

The height of the ball, after t seconds, is given by the following equation:

[tex]f(t) = -16t^{2} + 576[/tex]

After how many seconds t does the ballast bag hit the ground.

This is t for which f(t) = 0. So

[tex]f(t) = -16t^{2} + 576[/tex]

[tex]-16t^{2} + 576 = 0[/tex]

[tex]16t^{2} = 576[/tex]

[tex]t^{2} = \frac{576}{16}[/tex]

[tex]t^{2} = 36[/tex]

[tex]t = \pm \sqrt{36}[/tex]

Time is a positive measure, so

[tex]t = 6[/tex]

The ballast bag hits the ground after 6 seconds.

The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?

Answers

Answer:

$6.90 is the cost of 9 tennis balls

What is the volume, in cubic m, of a cube with an edge length of 18m?

Answers

Honestly don’t know

Answer:

The answer is 5832

Step-by-step explanation:

18 ^3 is 5832

Jacob took a total of 12 quizzes over the course of 3 weeks.

​How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?

Answers

Answer:

4 weeks

Step-by-step explanation:

The number of weeks for a total of 16 quizzes will be 4 weeks.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-

12 quizzes = 3 weeks.

1 quizzes = 3 / 12 weeks

16 quizzes = ( 3 / 12 ) x 16 = 4 weeks

Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.

To know more about Expression follow

brainly.com/question/723406

#SPJ5

How may cups are In a gallon

Answers

16US cups. I think that’s the right answer

Answer:

I think it is 16 cups in a gallon

What is the product of (-a + 3)(a + 4)?

Answers

Answer:

-a^2-a+12

Step-by-step explanation:

(-a+3)(a+4)

-a^2-4a+3a+12

-a^2-a+12

what are the factors of 36x⁸-49?​

Answers

Answer:

(6x^4+7)(6x^4-7)

Step-by-step explan  

Answer:

The common factor is 1

(6x^4+7) (6x^4-7)

Step-by-step explanation:

(100 POINTS):( You will be reported if you provide an inapplicable answer)
use this function to answer the questions
f(x) = 2x^2 − 5x + 3

-Find The X intercepts of the graph
-Is the Vertex Going To Be Minimum Or Maximum? (I may be able to figure this one out)
-What is The Coordinates Of The Vertex?
-What Would You Do To Graph f(x)?

Please Explain because I want to understand it! mainly just need help with the first and then I may be able to take it from there.

Answers

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Please help. I also will post another question I need help with. Thank you if you help.

Answers

Geometric progression, first term 5, common ratio 3.

Answer: 5, 15, 45, 135

Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.

Answers

Answer:

A, B, E  

explanation:                                                                                                                                            

Answer:

A: The range of scores is 38.

B: Without the outlier, the range of scores would be 12.

C: The outlier impacts the range more than it impacts the interquartile range.

D: The interquartile range is 9.

F: Without the outlier, the interquartile range would be 9.5.

Step-by-step explanation:

edg2020

plzzzzzzzzz help me im dewwwwwww plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz pros

Answers

Answer:

C

Step-by-step explanation:

[tex]x^2-2x-80=[/tex]

[tex](x-10)(x+8)[/tex]

You can confirm this by expanding this:

[tex](x-10)(x+8)=[/tex]

[tex]x^2-10x+8x-80=[/tex]

[tex]x^2-2x-80[/tex]

Therefore, the answer is choice C. Hope this helps!

Answer:

C

Step-by-step explanation:

x^2-2x-80

(x^2+8)+(-10x-80)

factor out the -10 for -10x-80

=x(x+8)-10(x+8)

(x+8)(x-10)

pls mark me brainliest

A square has an area of 9 cm^2. What is the length of each side?

Answers

Answer:

The side length is 3 cm

Step-by-step explanation:

The area of a square is given by

A = s^2  where s is the side length

9 = s^2

Take the square root of each side

sqrt(9) = sqrt(s^2)

3 =s

The side length is 3 cm

Answer:

3cm

Step-by-step explanation:

As we know it's a square, we can just square the area to get:

[tex]\sqrt{9}[/tex] = 3

We know we can do this as to find the area of a square or rectangle you just need to multiply the sides together. As it's a square, all the sides are the same so they have the formula:

x * x = A (unit)^2

Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
ows of four as shown.
7 in.
5 in
4 in
What is the total surface area of the composite solid?
O 521 square inches
1,042 square inches
1,072 square inches
O 1.992 square inches

Answers

Answer:

1042 square inches is the total surface area of composite solid.

Step-by-step explanation:

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows:

Across the length there are 3 blocks along the side of 7 inches each.

Length = [tex]7 \times 3 = 21\ inch[/tex]

Width = 5 inch

Across the height there are 4 blocks along the side of 4 inches each.

Height = [tex]4 \times 4 = 16\ inch[/tex]

We know that total surface area of a cuboid is as follows:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]

Hence, total surface area = 1024 square inches

Answer:The answer is (B.1,042)

Step-by-step explanation: i got it right

Write the expression – 5x(4 + 3x) using words.

the sum of negative five times a number and four minus three times the number

the product of negative five times a number and the quantity four plus three times the number

the product of three times a number plus the quantity four and five times the number

Answers

Answer:

the product of negative five times a number and the quantity four plus three times the number

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

How many solutions does this equation have?

–2 − 10z = –4 − 10z

Answers

Answer:

No solutions

Step-by-step explanation:

To find out how many solutions there are you must solve:

- 2 - 10z = - 4 - 10z

Add 10z to both sides:

-2 = -4

Since the two terms are different from one another, that means that there are no solutions for this equation.

b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how
much money would you owe in taxes at the end of the year? Show your work. (5 points)

Answers

Answer:

$1,263.75

Step-by-step explanation:

8425×0.15=1263.75

Answer: $1263.75

Step-by-step explanation:

$8425 (the amount you earned) multiplied by 0.15 (the tax rate as a decimal) is equal to 1263.75.

So, you would owe $1263.75 in taxes at the end of the year.

Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work

Answers

Answer: she will need 108 square inches of fabric.

Step-by-step explanation:

To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as

Surface area = (2lw + 2lh + 2wh)

Where

l represents length of the box = 6 inches

w represents width of the box = 3 inches

h represents height of the box = 4 inches

Therefore,

Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²

I need help with these problems!!!
How would I solve them, can someone explain the steps please, or check if there correct?

Answers

Answer:

Step-by-step explanation:

Anyone understand how to do this?

Answers

Answer:

f ( x ) = - 2x^2 + 3x + 1

Step-by-step explanation:

If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;

− ∞  < x < ∞, while y > − ∞

Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;

If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;

Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2

The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12​

Answers

I guess the answer is (A)
I hope help

Rewrite as a simplified fraction.
2.31 with the 1 repeating

Answers

Answer: [tex]\frac{104}{45}[/tex]

Step-by-step explanation:

[tex]2.31^-[/tex]

Let x be equal to that.

[tex]x=2.31^-[/tex]

Multiply by 1 followed by as many zeros as repeating numbers. In this case it's just one repeating decimal, therefore, 1 followed by 1 zero or 10.

[tex]10x=2.31^-*10[/tex]

This basically moves the decimal point one number to the right.

[tex]10x=23.11^-[/tex]

Subtract the first equation from this new equation.

[tex]10x=23.11^-\\-x=2.31^-[/tex]

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

The repeating decimal is eliminated and we are left with:

23.1

- 2.3

---------

20.8

We also have 10 - 1 = 9. We are left with:

[tex]9x=20.8[/tex]

Divide by 9.

[tex]x=\frac{20.8}{9}[/tex]

To get rid of the decimal, multiply by 1 followed by as many zeros as decimals. In this case 1.

[tex]x=\frac{20.8}{9} (\frac{10}{10} )[/tex]

[tex]x=\frac{208}{90}[/tex]

Let's simplify.

208/2=104

90/2=45

[tex]x=\frac{104}{45}[/tex]

What is the perimeter of the quadrilateral
shown below?​

Answers

Answer:

6x^2+x-1

Step-by-step explanation:

(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)

=4x^2+x^2+x^2+2x+2x-3x+5-6

=6x^2+2x+2x-3x+5-6

=6x^2+x+5-6

=6x^2+x-1

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