Mathematics College

Two angles are supplementary if their sum is 180 degrees. The larger angle is 6 degrees more than five times the measure of the smaller angle. Let
x
represent the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Answers

Answer 1

Answer:

Step-by-step explanation:

x+y=180

y=5*x+6

x+5x+6=180

6x=180-6

6x=174

x=174/6

x=29 degrees

y=29*5+6

y=145+6=151

y=151 degrees

Related Questions

find the difference. 2g/g^2-g-6 - 1/g-3

Answers

Answer:

2g - 1

g²-g-6 g-3

2g - 1

(g-3)(g+2) g-3

take lcm

2g- 1(g+2)

(g-3)(g+2)

g-2

g²-g-6

Step-by-step explanation:

answer is g-2/ g^2-g-6

mark this as brainliest!

When you look into a mirror, you see your reflection. Explain how this relates to reflections in
geometry.

Answers

Because you can see your reflection in a mirror. In geometry that's how shapes see themselves because there sides are the same.

the area of a parallelogram is 96cm^2 of the figure is 6 cm. What is the height?

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The height is 16cm here is the formula in a picture

The table shows a relationship between X^ - values. Which statement describes the pattern created by the values ?

Answers

Answer:

is that i-ready

Step-by-step explanation:

Pt. 1 The result of adding a complex number to its conjugate is a.- a whole number b.-an integer, c.- a real number, d.- a pure imaginary number Pt. 2 And the result of subtracting a complex number from its conjugate is a.- a whole number, b.-an integer, c.- a pure imaginary number, d.- a real number

Answers

Answer:

Step-by-step explanation:

A complex number is a number that has both real and imaginary part. An example of a complex number is z = x+iy where x is the real part and y is the imaginary part.

If z = x+iy, the conjugate of z₁ will be x-iy

adding the complex number to its conjugate will give;

P = z+z₁

P = x+iy +(x-iy)

open the parenthesis

P = x+iy+x-iy

collect like terms

P = x+x+iy-iy

P = 2x

We can see that the resulting value does not contain the imaginary number i, hence the result is a real number.

Hence the result of adding a complex number to its conjugate is a REAL NUMBER

Taking the difference;

P = = z-z₁

P = x+iy -(x-iy)

open the parenthesis

P = x+iy-x+iy

collect like terms

P = x-x+iy+iy

P = 0+2iy

P = 2iy

We can see that the resulting value contains the imaginary number i, hence the of taking their difference is a complex number.

Hence the result of subtracting a complex number from its conjugate is an IMAGINARY NUMBER

How many different letter permutations, of any length, can be made using the letters M O T T O (For instance, there are 3 possible permutations of length 1.)

Answers

Answer:

Step-by-step explanation:

Given that

2 O, 2 T and 1 M

Now based on this, the following ways are there

Three ways i.e. {M,T,O}

XX or XY

XX in 2C1 = two ways i.e. {OO or TT}

XY in 3C2 × 2! = six ways

XXY or XYZ

XXY in 2C1 × 2C1 × 3! ÷ 2! = twelve ways

XYZ in 3C3 × 3! = six ways

XXYY or XXYZ

XXYY = 4! ÷ (2! × 2!) = six ways

XXYZ in 2C1 × 4! ÷ 2! = twenty four ways

= 5! ÷ (2! ×2!)

= 120 ÷ 4

= 30

Therefore, the total is

= 3 + (2 +6)+ (12 +6) + (6 +24) + 30

= 89

There are 30 different letter permutations.

The word is given as:
MOTTO

From the given word, we have the following parameters:

[tex]n = 5[/tex] --- the number of characters in the word[tex]T = 2[/tex] --- the number of times letter T appears[tex]O = 2[/tex] --- the number of times letter O appears

The number of different (d) letter permutation is then calculated as:

[tex]d = \frac{n!}{T!O!}[/tex]

This gives

[tex]d = \frac{5!}{2!2!}[/tex]

Evaluate each factorial

[tex]d = \frac{120}{2 \times 2}[/tex]

Evaluate the product of 2 and 2

[tex]d = \frac{120}{4}[/tex]

Divide 120 by 4

[tex]d = 30[/tex]

Hence, there are 30 different letter permutations.

Answers

Answer:

85 + 86 = 171

Step-by-step explanation:

Just divide 171 by 2 = 85.5, so it pretty clear the rest is just logic.

(85.5 - 0.5) + (85.5 + 0.5) = 171

what are the steps to finding a midpoint with decimals?

Answers

The midpoint between two numbers is the number exactly in the middle of the two numbers. Calculating the midpoint is the same thing as calculating the average of two numbers. Therefore, you can calculate the midpoint between any two numbers by adding them together and dividing by two.

HELP ME PLS i truly need help on this

Answers

Step-by-step explanation:

75+54

129°

the answer is 129°

find the minimum of c=x+3y

Answers

Answer:

Step-by-step explanation:

The objective function C=x+3y is the same as one of the constraining boundaries, x+3y≥14. Hence the minimum value of C is constrained to be 14.

-5(y + 1) + 6y
Need help

Answers

Answer:

1y - 5

Step-by-step explanation:

Remember to follow PEMDAS. Simplify the expression.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, distribute -5 to all terms within the parenthesis:

-5(y) = -5y

-5(1) = -5

Next, combine like terms:

-5y + 6y - 5

(-5y + 6y) - 5

1y - 5

1y - 5 is your answer.

State whether the data described below are discrete or continuous, and explain why.
The number of car accidents on a given stretch of highway each year
Choose the correct answer below.
O A. The data are continuous because the data can take on any value in an interval.
OB. The data are discrete because the data can take on any value in an interval.
C. The data are continuous because the data can only take on specific values.
D. The data are discrete because the data can only take on specific values.

Answers

Answer: D. The data are discrete because the data can only take on specific values.

Step-by-step explanation:

Discrete data refers to data that has a specific value in a specific period and so can be counted as opposed to continuous data that cannot be counted as it goes on to infinity. An example of continuous data would be the height of students in a class. This is continuous because a person's height could be 1.02325845...... metres.

The number of car accidents on a particular stretch of highway can be counted and the data can only take on a specific value thereby making it discrete data.

In this exercise we have to use the knowledge of distance to understand which the best alternative corresponds to car accidents, in this way we find that:

Letter D. The data are discrete because the data can only take on specific values.

Discrete information in visible form refers to data that bear a distinguishing value fashionable a distinguishing period accordingly can be check in order as opposite to continuous information in visible form that cannot be deem as it continue to infinity.

An instance of constant data hopeful the height of person actively learning fashionable a class. This is constant cause a person's crest could be 1.02325845 metres.

The number of vehicle driven on streets accidents in contact a particular stretch of heavily traveled maybe have importance and the data can only oppose a particular financial worth by that making it discrete information in visible form.

See more about distance at brainly.com/question/989117

Find the value of x in each case:

Answers

Answer:

[tex] x = 18 [/tex]

Step-by-step explanation:

Given:

Angle ABC = 2x

Angle CDE = 8x

Required:

Value of x

SOLUTION:

Line AB is parallel to line CD, therefore, angle ABC and angle BCD are alternate interior angles. Alternate interior angles are equal. Thus:

Angle ABC = Angle BCD = 2x

Since, line BC is parallel to line DE, angle BCD and angle CDE are consecutive interior angles.

Consecutive interior angles are supplementary, therefore:

Angle BCD + Angle CDE = 180°

[tex] 2x + 8x = 180 [/tex]

Use this equation to solve for x

[tex] 10x = 180 [/tex]

Divide both sides by 10

[tex] \frac{10x}{10} = \frac{180}{10} [/tex]

[tex] x = 18 [/tex]

Find the slope of the line passing through each of the following pairs of points: (7, −3), (8, −7)

Answers

Answer:

m=-4

(the slope is negetive 4)

Step-by-step explanation:

Answer:

[tex]-4[/tex]

Step-by-step explanation:

Start with point-slope form:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify your values.

[tex]x_1=7\\x_2=8\\y_1=-3\\y_2=-7[/tex]

Substitute.

[tex]\frac{-7-(-3)}{8-7}[/tex]

The [tex]-3[/tex] becomes positive as it is being multiplied by a negative.

[tex]\frac{-7+3}{8-7}[/tex]

Combine like terms.

[tex]\frac{-4}{1}[/tex]

Rewrite.

[tex]-4[/tex]

write the converse of the following statement

if it stops raining then I will go to the park

Answers

If it’s stops raining.

What is the additive inverse of t ? *

Answers

Answer:

-t

Step-by-step explanation:

Additive inverse of t:

t*-1 = -t

-t would be the inverse!

у (x) = 5x - 9 find each value

Answers

y (x) = 5x - 9

x = 9/5

Help me please i dont know what to write

Answers

Answer:

Decomposers in a food web are organisms that break down dead or decaying organisms and turn them into simpler, inorganic materials, making nutrients available for primary producers. A rotten fruit is not completely wasted because it will go back into the dirt for a producer to use, and the food chain continues.

Hope this helps!

A square-shaped park has an area of 324 yd2. What are the dimensions of the park?

Answers

Answer:

18 yards

Step-by-step explanation:

[tex]\sqrt{324}[/tex] = 18

Answer:

the dimensions are 81

Step-by-step explanation:

What is the ratio of the circumferences for two circles with areas 6pi m2 and 150pi m2?

1:10
1:5
1:25
1:50

Answers

Answer:

Step-by-step explanation:

This would be 1:25 (C)

How many thousands are in 30 hundreds

Answers

Answer:

Step-by-step explanation:

30 hundreds = 30*100 which = 3000 and 3000/1000 = 3

Answer:

Step-by-step explanation:

30x100=3000 is the answer to solving your problem

The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)

Answers

Answer:106.

Step-by-step explanation:

For the function f(x) = 16x^3 - x, make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at x = 1. Complete the table. (Round the final answer to three decimal places as needed. Round all intermediate values to four decimal places as needed.) An accurate conjecture for the slope of the tangent line at x = 1 is (Round to the nearest integer as needed.)

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Interval Slope of secant lines

[1,2] 113.000

[1, 1.5] 75.000

[1, 1.1 ] 51.960

[1, 1.01] 47.482

[1, 1.001] 47.048

Step-by-step explanation:

From the question we are told that

The function is [tex]f(x) = 16x^3 -x[/tex]

Now considering the intervals

For [1, 2]