∠a and ∠b are complementary angles. ∠a measures 67੦. What is the measure of ∠b?

Answers

Answer 1

Answer:

m∠b = 23 degrees

Step-by-step explanation:

complementary angles are two angles that add up to 90 degrees so 90-67=23


Related Questions

42 = 7r
Answer the question.

Answers

Answer:

r = 6

Step-by-step explanation:

Divide both sides by 7

Which is written like this:

42/7 = 7r/7

Which 42/7 = 6

and 7/7 = 1

=> 6 = r or r = 6

The solution to the equation 42 = 7r for r is r = 6

How to determine the solution to the equation for r

From the question, we have the following parameters that can be used in our computation:

42 = 7r

Rewrite the equation as

7r = 42

Multiply 1/7 to both sides of the equation

so, we have the following representation

1/7 * 7r = 42 * 1/7

Evaluate the products on the right hand side

This gives

1/7 * 7r = 6

Evaluate the products on the left hand side

This gives

r = 6

Rewrite as

r = 6

Hence. the solution is r = 6

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Match the description with the number of possible outcomes.
choosing a card from a deck
2
rolling a number cube
6
flipping a coin
4
spinning a 4-color spinner
52

Answers

Choosing a card from a card deck = 52
Rolling a number cube = 6
Flipping a coin = 2
Spinning a 4 colour spinner = 4

Answer:

here is the correct answer :D

Step-by-step explanation:

approximate the value of 5 pi​

Answers

Answer:

15.7079

Step-by-step explanation:

Answer:

slightly more than 15

Step-by-step explanation:

Tip: Use a calculator, it is very helpful and most often allowed in exams that include the calculation of pi.

1. Setup the problem: 5(pi)

2. Plug in the problem to receive: 15.70796...

3. The answer is slightly more than 15

ALSO: The first 3 digits of pi are 3.14, which is near the whole number 3. 5x3 = 15, so it is slightly more than 15.

A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.

You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased

Answers

Answer:

Lose $1.70 for each ticket you purchase

Step-by-step explanation:

($500 x 1/2000) + ($50 x 2/2000) - $2

$0.25 + $0.05 - $2

-$1.70

I’m not sure how I would use the theorem
I need help with this please ASAP!!!!

Answers

Answer: I hope this helps, I also used to have trouble with pythagorean therom

All of them are a right triangle because they have that little square in the corner, and no matter what, if it has that it is a right triangle.

Step-by-step explanation:

I'm guessing that the therom you need help with is pythagorean therom

a^2+b^2=c^2

  Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.

a = side of right triangle

b = side of right triangle

c = hypotenuse -(longest side of the triangle)

Water is draining from an aquarium at a rate of
3 gallons per minute. Write a multiplication expression using integers to show the total change to the amount of water in the aquarium after 45 minutes of draining. Then determine and explain that amount.

Answers

Answer : 15 gallon per minute

135 gallons of water in the aquarium after 45 minutes of draining.

What are Arithmetic operations?

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that water is draining from an aquarium at a rate of 3 gallons per minute.

The total change in the amount of water in the aquarium after 45 minutes of draining is as:

⇒ 45×3

Apply the multiplication operation in the integers,

⇒ 135 gallons

Hence, 135 gallons of water in the aquarium after 45 minutes of draining.

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There are 90 chickens on the farm. If 60% of the animals on the farm are chickens, how many animals are on the farm? Pls help asap!

Answers

Answer:

150

Step-by-step explanation:

You need to add 60 to the 90 and then check it by doing 60% of 150.

Hope this helps.

Answer: 150 is the answer

Step-by-step explanation:

Jackson bought six pairs of socks for $5 each. The tax on the purchase was 6%. What was the total cost of his purchase?

Answers

Answer:

Step-by-step explanation:

First you multiply 5x6= 30

30x.06= 1.8

30+ 1.8 =31.8

Answer:

31.8

step-by-step explanation:

5*6+6%=31.8

Put these numbers in order, smallest to largest 4.9 9.44 9.4 4.09 4.99

Answers

Answer:

4.09, 4.9, 4.99, 9.4, 9.44

Step-by-step explanation:

Answer:

4.09, 4.9, 4.99, 9.4, 9.44

Step-by-step explanation:

Find the solution of this system of equations
-3x - 5y = -26
X - 5y = -38

Answers

Answer:

the answer would be (-3,7)

*place holder since picture has the work*

Answers

Answer:

3rd Choice

Step-by-step explanation:

Answer:

square

Step-by-step explanation:

how does the graph of y = sqr x + 2 compare to the graph of the parent square root function?

Answers

Is the 2 in the sqr? If not, the graph just moves up by 2 units

Factor

x^2−6x+8

(x+4)(x−2)

(x+4)(x+2)

(x−4)(x+2)

(x−4)(x−2)

Answers

Answer:

(x-4)(x-2)

Step-by-step explanation:

Using The AC Method

What is the least common multiple of 12 and 18?

Answers

Look at the attached picture

hope it will be helpful to you..

what center of variability is most appropriate when using median?

Answers

Answer: The mean is the average of all the values. The median is the number that falls in the exact center of all the measurements, while the mode is the number that occurs most frequently. ... One way to measure variability, range, is the difference between the highest and lowest values in a data set.

Step-by-step explanation: Ok?

The mean is the average of all the values. The median is the number that falls in the exact center of all the measurements, while the mode is the number that occurs most frequently. ... One way to measure variability, range, is the difference between the highest and lowest values in a data set.

what is the value of x?

Answers

Answer:

16.1

Step-by-step explanation:

guys i need help lol

Answers

Answer:

x = 17°, m∠ A = 114°

Step-by-step explanation:

We can tell that these pair of angles are corresponding, provided;

Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,

m∠ A = m∠ B ⇒ Substitute values of A and B,

6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,

3x + 12 = 63 ⇒ Subtract 12 on either side of equation,

3x = 51 ⇒ Divide either side by 3,

x = 17 ⇒ Substitute value of x to solve for m∠ A,

m∠ A = 6 * ( 17 ) + 12,

m∠ A = 102 + 12,

m∠ A = 114

Solution; x = 17°, m∠ A = 114°

Answer:

x = 17, ∠A = 114°

Step-by-step explanation:

I'm 8 years old and I know how to do this.

6x + 12 = 3x + 63

3x + 12 = 63

3x = 51

x = 17

6(17) + 12

102 + 12 = 114

18 19 20 please thank you

Answers

Answer:

18a) The height of tree is 6.34ft.

Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.

b) 11.54 degree

Step-by-step explanation:

18a) sin(25) = 0.4226182617 is what you multiply to check the height.

15 x 0.4226182617 = 6.339273926   = 6.34ft.

Using the measurements of pythagoras you can scale each measurement above.  6.34 = (x0.5) = 3.17cm to draw the trees height.

15ft wire = scale the diagram draw  1cm = 2ft So that 7.5cm =  = 15ft

Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.

This will make a 7.5cm slope and label it 15ft.

We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.

We find the base measurement by finding the square of each 15 and 6.34

c^2 - a^2 = b^2

a= 6.34 x 6.34 = 40.1863939089 = √40.19

c = 15 x 15 =  √225

c-b = √225 - √40.19 =  √184.81

side = b  

b^2 = √184.81= 13.5944841756 = 13.59ft

18 b)  To find an angle x  with given measurements 4ft base and 20ft slope we  

use sin( base/slope) = (run/rise)

So that 4/20 = 0.2  

Then plug in for sin -1  0.2 = 11.54 degree = (calc ..11.53695903)

Notes;

If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise  but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).

Simplify 18 1/2 + (-7 4/8)
ASAP pls

Answers

Answer:

11

Step-by-step explanation:

18 1/2 + (-7 4/8)

Simplify the fraction

18 1/2 + (-7 1/2)

Subtract the whole numbers

18-7 = 11

Subtract the fractions

1/2 -1/2 =0

Answer:

11

Step-by-step explanation:

18 1/2 + (-7 4/8)

18 1/2 +)- 7 1/2

(18-7) + (½-½)

11 + 0

11

Solve for 2. Write the smaller solution first, and the larger solution s
4x2 + 40 + 84 = 0
smaller x =
larger x =​

Answers

Answer:

4(x^2 +10 +21)

4(x+3)(x+7) = 0

Smaller

4(x+7) = 0

4x +28 = 0

4x = -28

x = -28/4

x = -7

Larger

4(x+3) = 0

4x + 12 = 0

4x =-12

x = -12 / 4

x = -3

Step-by-step explanation:

Solve: 5/9 + (-4/5)

Answers

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5)

25/45 + (-36/45)

(Multiplied each side by opposite denom.)

25/45 -36/45

Simplify

25-36=-11

-11/45

Cannot simpfily

Answer:

Step-by-step explanation:

5/9 + (-4/5)

-11/45 or − 0.244444444 and on and on forever

Please help me !!!!!

Answers

Answer:

15 units

Step-by-step explanation:

Pretty sure it’s 15

HELP WITH WORD PROBLEM - The quality control engineer of top notch tool company finds flaws in 8 of 60 wrenches examined. Predict the number of flawed wrenches in a batch of 2400

Answers

Answer:

The expected ratio: 8/60 = x/2400

=> The number of flawed wrenches in a batch of 2400:

x = 2400*8/60 = 320

PLS HELP 50 POINTS
Which function can be used to model the graphed geometric sequence?

f(x + 1) = Five-sixthsf(x)
f(x + 1) = Six-fifthsf(x)
f(x + 1) = Five-sixths Superscript f (x)
f(x + 1) = Six-Fifths Superscript f (x)

Answers

Answer:

f(x+1)=(5/6)f(x)on:          Five-sixths Superscript f (x)

EXPLANATION:

The defining characteristic of a geometric sequence is that each term is a constant multiple of the previous term, called the common ratio denoted r in the rules for geometric equations.

625/750=750/900=etc=r=5/6

The function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).

What is the general equation of a Straight line? What is a Geometric sequence?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

A geometric sequence is a sequence such that -

a(n + 1)/a(n) = K {constant}

[K] is called common ratio.

Given is a graph representing a geometric sequence.

Now, for -

f(2) = 1080

and

f(1) = 1296

So -

f(2)/f(1) = 1080/1296 = 5/6

In general -

f(x + 1)/f(x) = 5/6

f(x + 1) = 5/6 f(x)

Therefore, the function that can be used to model the graphed geometric sequence is f(x + 1) = 5/6 f(x).

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[REFER TO IMAGE ATTACHED FOR QUESTION]


The length of the hypotenuse of a 30 - 60 - 90 triangle is 16 cm.
Find the length of the other two sides.

Answers

Answer:

8, 8x square root of 3

Step-by-step explanation:

16=2x

x=8

Question 4 Please help. If circle A is dilated so that it is the same size as circle B, which transformations could be performed next to show that the circles are similar?

Select all that apply.

Answers

There are 3 Answers:

Choice A) reflect the dilated circle over the horizontal line through point C.

Choice D) rotate the dilated circle 180 degrees around point C

Choice E) translate the dilated circle to center B

Due to symmetry, rotations and reflections do not change a circle. This is why we are able to rotate around point C so that it looks like a translation has occurred. A similar thing happens with reflections as well.

The correct Answers:

A) reflect the dilated circle over the horizontal line through point C.

D) rotate the dilated circle 180 degrees around point C

E) translate the dilated circle to center B

What is transformation?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given is circle A is dilated so that it is the same size as circle B, we need to determine the transformations performed to show that the circles are similar.

We know that,

Due to symmetry, rotations and reflections do not change a circle.

So, rotate around point C so that it looks like a translation has occurred.

A similar thing happens with reflections as well.

Hence, the correct options are A, D and E

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In 2012, the population of China was about 1.351 x 10^9 and the population of Japan was about 1.280 x 10^8. Based upon these estimates, approximately how many more people lived in China than in Japan in 2012?

Answers

Answer:

7 x10^6

Step-by-step explanation:

find the decimal equivalent to 4/15

Answers

Answer:

0.2667

Step-by-step explanation:

Answer:

.266 repeating

Step-by-step explanation:

divide 4 by 15 : )

I have no clue! Please help!

Answers

The answer would be 4m. By following the equation x^2+3^2=5^2, you would simplify and have x^2+9=25. Subtract 9 from 25 and you’ll get 16. After finding the square root you will get 4.


20 POINTS EACH PERSON

The perimeter of a rectangular swimming pool is represented by the expression 8x – 2. If the width of the swimming pool is represented by the expression x – 1, which expression represents the length of the pool? 7x – 1 6x – 4 3x 6x

Answers

Answer:

61 ft

Step-by-step explanation:

Answer:

The length of rectangle is 3x.

Step-by-step explanation:

Given that the perimeter of rectangle formula is P = 2l + 2w where l represents length and w is width. Then you have to substitute the expressions into the formula :

[tex]p = 2l + 2w[/tex]

Let p = 8x - 2,

Let w = x - 1,

[tex]8x - 2 = 2l + 2(x - 1)[/tex]

[tex]8x - 2 = 2l + 2x - 2[/tex]

Next you have to find the expression for length by moving all the unrelated terms to the other side :

[tex]8x - 2 - 2x + 2 = 2l[/tex]

[tex]2l = 6x[/tex]

[tex]l = 3x[/tex]

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