Mathematics High School

Please help will give brainiest if right

Answers

Answer 1

Answer:

Equation: 2x + x + 72 = 180m∠1 = 72°m∠2 = 108°

Step-by-step explanation:

The angles lie on a straight line summing to total 180 degrees.

Form an equation:

m∠1 + m∠2 = 180

2x + x + 72 = 180

and solve:

3x + 72 = 180

3x = 180 - 72

3x = 108

x = 36

Find m∠1: 2(x) = 2(36) = 72°Find m∠2: x + 72 = 36 + 72 = 108°

Answer 2

Answer:

see below

Step-by-step explanation:

We are here given a straight line which is splitted into two parts by a line , such that it makes two angles.

Also we know that the angle measure of a straight line is 180° . Therefore; here the sum of angles 1 and 2 will be 180° .

So that,

==> angle 1 + angle 2 = 180°

==> 2x + x + 72° = 180°

==> 3x = 180° - 72°

==> 3x = 108°

==> x = 108°/3

==> x = 36° .

The equation which we used to solve the problem is ,

==> Equation = 2x + x + 72° = 180°

For finding the individual angels substitute the value of x into their expressions , as ;

==> angle 1 = 2x = 2(36°) = 72°

==> angle 3 = x + 72° = 36° + 72° = 108° .

And we are done!

Related Questions

A 2-cup bottle of glass cleaner costs $6.56. What is the price per fluid ounce?

Answers

Answer:

82 cents per ounce

Step-by-step explanation:

There are 8 oz in a cup so two cups = 16 ounces

$6 .56 / 8 oz = $ .82 / oz

Solve the simultaneous equations
3y + 11 = 4x
10x + 2y + 1 = 0

Answers

In linear equation the solution set of the equations x = 1/2, y = -3.

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Multiply both sides of the equation by a

coefficient - 2(4x - 3y ) = 11 × 2

3 ( 10x + 2y ) = ( - 1 ) × 3

apply multiplicative distribution law

8x - 6y = 11 × 2

3( 10x + 2y ) = (-1) × 3

calculate the first terms

8x - 6y = 22

3( 10x + 2y ) = ( -1) × 3

remove the parentheses

8x - 6y = 22

30x + 6y = -3

add up the two equation

8x - 6y + ( 30x + 6y ) = 22 + ( -3)

remove parentheses - 8x - 6y + 30x + 6y = 22 -3

cancel the unknown variables - 8x + 30x = 22 -3

combine like terms - 38x = 22 - 3

calculate the sum or difference - 38x = 19

reduce the greatest common factor on both

sides of equation - 2x = 1

divide both sides of the equation by the coefficient of variable - x = 1/2

substitute one unknown quantity into the elimination 8 * 1/2 - 6y = 22

reduce the expression to the lowest term 4-6y = 22

reduce the greatest common factor on both sides of the equation

2 - 3y = 11

Rearrange unknown terms to the left side of the equation - 2 - 3y = 11

calculate the sum or difference -3y = 9

reduce the greatest common factor on both sides of the equation -y = 3

divide both sides of the equation by the coefficient of variable y = -3

the solution set of the equations

x = 1/2

y = -3

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Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?

30 points

Answers

The total number of students whose favorite color was blue is 184 students.

Total number of students Natalie surveyed in her school = 800

Given the percentage of students who said their favorite color was red = 77%

Now to calculate 77% of the total students is

= 77% of 800

= 77/100 * 800

= 616

The number of students who said red was their favorite color was 616.

So, the number of students who stated that blue was their favorite color

= total students - red color favorite students

= 800 - 616

= 184

Therefore, There are a total of 184 students whose favorite color is blue.

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Which of the following is an equivalent expression of 15x2 +12x + 8?

Answers

Answer:

15 (x + 2\/5)^2 + 28\/5

Step-by-step explanation:

Please Help me ASAP 100 points for correct answer

Answers

Answer:

Step-by-step explanation:

The sum of 4 consecutive odd integers is -24. What are they?

Answers

Step-by-step explanation:

4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.

and then we have

-24 = x + x+2 + x+4 + x+6 = 4x + 12

4x = -36

x = -9

x+2 = -7

x+4 = -5

x+6 = -3

so, in sequence from small to large these 4 numbers are

-9, -7, -5, -3

The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?

Answers

The water level after the rainfall is 3.05m

How to calculate the measurement of the water level after the rainfall ?

The water level in colorado river is 2.55m below average

A larger rainfall happened and the water level rose by 0.8m

Therefore the water level after the rainfall can be calculated by adding the previous water level which is 2.55 by the new increase which is 0.8

= 2.55 + 0.8

= 3.05

Hence the water level after the rainfall is 3.05 m

Answers

Answer:

probly 79.5

Step-by-step explanation:

i d k

The first term of arithmetic sequence is 2 and 10th term is 39 find the 30th term

Answers

To be honest I have no clue but I know you got this bro

Which of the following options are examples of how you can name the angle? Select all that apply.

Answers

Answer:thr lerrkmaf

Step-by-step explanation:

and we are so cool DEA

Find the area of the parallelogram shown below
44
55
47

Answers

Area= base x height
=55 x44
=2420

Which number rounds to 3,000 if you round it to the nearest thousand, AND to 2,500 if you round it to the nearest hundred?

Answers

Answer:

2,739 and 2,489

Step-by-step explanation:

There are many solutions to both problems:

(Rules)
If the number is 5 or higher round (up)
If the number is 4 or lower round (down)

2,739⇒3,000
↑↑↑
Higher than 500 so round up to get 3,000

2,489⇒2,500
↑↑
Higher than 50 so round up to get 2500

2,739 and 2500 are both possible solutions.

Angie and Kenny play online video games. Angie buys 2 software package and 2 months of gameplay. Kenny buys 1 software package and 3 month of game play. Each software package cost $20. If their total cost is $160, what is the total cost of one month of gameplay?

Answers

I think the answer is $15.
20 + 2x + 20 + 3x = 115.
40 + 5x = 115
5x = 75
X = 15.

Given (2x + 3) (3x − 2) = 0
What are the values of x in 10th decimal places?
X=
X=
please answer fast

Answers

x1 = -3/2 or -1.5
x2 = 2/3 or .666667

f(9)=-4(9)^2-4(9)+18=

Answers

The answer is -342

Step - by - step

f(9)=-4(9)^2-4(9)+18

= -4*81-36+18

= -324-36+18

= -360+18

= -342

49^((1)/(2))- 25^((3)/(2))

Answers

Answer: -118

Step-by-step explanation:

49^((1)/(2))- 25^((3)/(2))=

49^(1/2) -25^(3/2)=

7-25^((2+1)/2)=

7-25^((2/2)+(1/2))=

7-25^(1+1/2)=

7-25^(1) *25^(1/2)=

7-(25*5)=

7-125=-118

5/6 x 15 =
2/3 x 1/4=
4/9 x 3/8=

Answers

Answer:

1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)

2. 2/12 = 1/6 (simplified)

3. 12/72 = 1/6 (simplified)

Hope this helps :)

Answer:

[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]

[tex]\frac{2}{3} * \frac{1}{4} = \frac{1}{6}[/tex]

[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]

Reduce the fraction by diving both sides by the common factor.

[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]

To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.

25 / 2 = 12 with remainder of 1

[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]

[tex]\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}[/tex]

[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]

can someone help me with these

Answers

Answer:

for the triangle question the ans is 2

for the equation question where u have to find the mistake the student made, its the last option

find the area of the shaded region.
round to the nearest tenth.

Answers

The area of the shaded region is 294.4 square meters

How to find the area of the shaded region?

The given parameters are represented on the figure

By this;

The area of the shaded region is the sum of the area of the major sector and the area of the triangle

The area of the major sector is

A1= ∅/360 * πr²

The area of the triangle is

A2 = 0.5r²sin(x)

So, the total area is

Total = ∅/360 * πr² + 0.5r²sin(x)

This gives

Total = (360 - 130)/360 * 3.14 * 11.1^2 + 0.5 * 11.1^2 * sin(130 deg)

Evaluate

Total = 294.4

Hence, the area of the shaded region is 294.4 square meters

Answers

The formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .

What is angle of elevation ?

The angle from the horizontal upward to an item is referred to as the angle of elevation. The line of sight of an observer would be above the horizontal. The angle from the horizontal downward to an item is referred to as the "angle of depression." The line of sight of an observer would be below the horizontal.

Let the formula for the exponential function that approximates the ground roll for a fully loaded Cessna 172 at an elevation of x be

y =A(B)x ....(1)

Here,

A = ground roll at x =0,

B = growth factor.

Since at x =0, , Ground roll is = A = 585 ft ....(2)

On putting A = 585 in equation (1), we get

y = 585(B)x ....(3)

Now, at elivation of x = 1000 ft ,

Ground roll y = 640 ft.

So, putting these values in equation (3), to get

640 = 585(B)1000

Reversing the sides to get

585(B)1000 = 640

Or B1000 = 640/585

Or B1000 = 1.09017094

Or B = (1.09017094)1/1000

Or B = 1.00009 .....(4)

On putting the value of B in equation (3), we get

y = 585(1.00009)x

Hence, the formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .

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pls help with this question ASAP

What equations do u insert in between these numbers to get the answer

a.5 8 3 9 =50

b.12 6 2 10=14

c.4 5 6 10=24

d.7 4 6 9 7= 16

e.4 9 6 2 =52

f.45 5 9 3 7=102

Answers

hduodoydiyd9ydiydoyeykdoyx95eeykyei6djj

Step-by-step explanation:

a) 5

Stella buys 5 pineapples for $4.50. How much would she pay if she bought 7 pineapples? (hint: find the unit rate first then multiply)
*

Answers

Answer:

Step-by-step explanation:

4.50 divides by 5 than times the answer by 7

4.50 divided by 5 is .90 so .90 times 7 is 6.3

The area A of a rectangle with dimensions 4x and 5 is described with the inequality 100 ≤ A ≤ 1,000.
Select the compound inequality for the area written in terms of x.
OA. 100 ≤ 10+ 8x ≤ 1,000
OB. 100 ≤ 18x ≤ 1,000
O C. 100 ≤ 9x ≤ 1,000
OD 100 ≤ 20x ≤ 1,000

Answers

The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.

We know that, the area of rectangle is given by:

Area = Length × Breadth

Now, we will substitute the values of length as 4x and breadth as 5 in the formula:

= 4x × 5

= 20x

Now. we will substitute this value in the inequality 100 ≤ A ≤ 1,000 to get the compound inequality:

100 ≤ 20 x ≤ 1,000.

Therefore, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.

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Three angles are shown, ZHRM, ZHRD, and ZDRM.
D
M
H
If m/HRM = 54°, m/HRD =
m/DRM =
(²7*+11) ².
4
R
(1/22 +22), ar
x
and
what is the value of x?

Answers

Answer:

Step-by-step explanation:

By the angle addition postulate,

[tex]54=\frac{1}{2}x+22+\frac{1}{4}x+11 \\ \\ 54=\frac{3}{4}x+33 \\ \\ 21=\frac{3}{4}x \\ \\ x=28[/tex]

If you roll a standard 6 sided die and you get paid $1 for every spot it lands on (so if you roll a 5 that would mean $5), what's the average payout for one roll?

Answers

Answer:

Step-by-step explanation:

What does it mean when a data set or distribution has more variability than another

Answers

Answer: Standard deviation

Step-by-step explanation: The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each score lies from the mean. The larger the standard deviation, the more variable the data set is.

What type of variable is the number of customers in line at the bank in a 24 hour period? qualitative continuous attribute discrete

Answers

The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

By discrete variable, what do you mean?

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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What is the value of 5 x 3 + 4 y 3 when x=4 and y=3?

Answers

Answer:

Step-by-step explanation:

Solve 2x+18=6y for x.

Answers

Answer:

x=3y−9

Step-by-step explanation:

2x+18=6y

2x=6y−18

(2x)/2=(6y−18)/2

x=3y−9

Answer:

x = 3y−9

Step-by-step explanation:

Add -18 to both sides:

2x + 18+− 18=6y + −18

2x = 6y − 18

Divide both sides by 2:

2x / 2= 6y −18 / 2

x = 3y −9

The maximum speed, in miles per
hour, of a cheetah is 18 more than 3 times
If the maximum speed of a cheetah is
the maximum speed of a hippopotamus.
75 miles per hour, which equation could be
used to find the maximum speed of a
hippopotamus h? (Lesson 1-2)
A. h= 3(75) + 18
B. 75=3h
C. 75 = 3h + 18
D. 18 + 75 = 3h

Answers

The equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18

The question has to do with linear equation

What is a linear equation?

A linear equation is a mathematical expression in which the highest power of the unknown is 1.

How to find the equation for the maximum speed of the hippopotamus

Let

x = speed of cheetah and h = speed of hippopotamus

Given that the maximum speed, in miles per hour, of a cheetah is 18 more than 3 times the maximum speed of the hippopotamus

Now, since the maximum speed of the hippopotamus is h, 3 times the maximum speed of the hippopotamus is 3h.

Since the cheetah is 18 more than 3 times the maximum speed of the hippopotamus, we have that

x = 3h + 18

Substituting x = 75 into the equation, we have

75 = 3h + 18

So, the equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18

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